메뉴 건너뛰기




Volumn 58, Issue 1-6, 2005, Pages 178-205

Linearization in analysis of nonlinear stochastic systems: Recent results - Part I: Theory

Author keywords

[No Author keywords available]

Indexed keywords

LINEARIZATION; PROBABILITY DENSITY FUNCTION; STATISTICAL METHODS; SURVEYS;

EID: 31944447823     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1896368     Document Type: Review
Times cited : (79)

References (218)
  • 4
    • 0001302543 scopus 로고
    • Approximate probabilistic analysis of the accuracy of the operation of essentially nonlinear systems
    • Kazakov, I. E., 1956, "Approximate Probabilistic Analysis of the Accuracy of the Operation of Essentially Nonlinear Systems," Avtom. Telemekh., 17, pp. 423-450.
    • (1956) Avtom. Telemekh. , vol.17 , pp. 423-450
    • Kazakov, I.E.1
  • 5
    • 0000147258 scopus 로고
    • Response of nonlinear string to random loading
    • Caughey, T. K., 1959, "Response of Nonlinear String to Random Loading," ASME J. Appl. Mech., 26, pp. 341-344.
    • (1959) ASME J. Appl. Mech. , vol.26 , pp. 341-344
    • Caughey, T.K.1
  • 6
    • 84953653181 scopus 로고
    • Equivalent linearization techniques
    • Reference is made to presentations in Cal Tech Lectures in 1953
    • Caughey, T. K., 1963, "Equivalent Linearization Techniques," J. Acoust. Soc. Am., 35, pp. 1706-1711. Reference is made to presentations in Cal Tech Lectures in 1953.
    • (1963) J. Acoust. Soc. Am. , vol.35 , pp. 1706-1711
    • Caughey, T.K.1
  • 7
    • 0019476735 scopus 로고
    • Stochastic linearization in structural dynamics
    • Spano, P. T., 1981, "Stochastic Linearization in Structural Dynamics," Appl. Mech. Rev., 34, pp. 1-8.
    • (1981) Appl. Mech. Rev. , vol.34 , pp. 1-8
    • Spano, P.T.1
  • 8
    • 0019563229 scopus 로고
    • Response of nonlinear mechanical systems to random excitation, part 2: Equivalent linearization and other methods
    • Roberts, J. B., 1981, "Response of Nonlinear Mechanical Systems to Random Excitation, Part 2: Equivalent Linearization and Other Methods," Shock Vib. Dig., 13, pp. 15-29.
    • (1981) Shock Vib. Dig. , vol.13 , pp. 15-29
    • Roberts, J.B.1
  • 9
    • 0020928205 scopus 로고
    • Random vibration: A survey of recent developments
    • Crandall, S. H., and Zhu, W. Q., 1983, "Random Vibration: A Survey of Recent Developments," ASME J. Appl. Mech., 50, pp. 953-962.
    • (1983) ASME J. Appl. Mech. , vol.50 , pp. 953-962
    • Crandall, S.H.1    Zhu, W.Q.2
  • 11
    • 0026240540 scopus 로고
    • Linearization in analysis of nonlinear stochastic systems
    • Socha, L., and Soon, T. T., 1991, "Linearization in Analysis of Nonlinear Stochastic Systems," Appl. Mech. Rev., 44, pp. 399-422.
    • (1991) Appl. Mech. Rev. , vol.44 , pp. 399-422
    • Socha, L.1    Soon, T.T.2
  • 18
    • 84990871738 scopus 로고
    • Random vibration of structures: A personal perspective
    • Elishakoff, I., 1995, "Random Vibration of Structures: A Personal Perspective," Appl. Mech. Rev., 48, pp. 809-825.
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 809-825
    • Elishakoff, I.1
  • 19
    • 0034187528 scopus 로고    scopus 로고
    • Stochastic linearization technique: A new interpretation and a selective review
    • Elishakoff, I., 2000, "Stochastic Linearization Technique: A New Interpretation and a Selective Review," Shock Vib. Dig., 32, pp. 179-188.
    • (2000) Shock Vib. Dig. , vol.32 , pp. 179-188
    • Elishakoff, I.1
  • 20
    • 0037268462 scopus 로고    scopus 로고
    • Equivalent linearization and monte carlo simulation in stochastic dynamics
    • Proppe, C., Pradlwarter, H. J., and Schueller, G. I., 2003, "Equivalent Linearization and Monte Carlo Simulation in Stochastic Dynamics," Probab. Eng. Mech., 18, pp. 1-15.
    • (2003) Probab. Eng. Mech. , vol.18 , pp. 1-15
    • Proppe, C.1    Pradlwarter, H.J.2    Schueller, G.I.3
  • 21
    • 31944450064 scopus 로고    scopus 로고
    • Linearization in analysis of nonlinear stochastic systems: Recent results - Part II: Applications
    • in press
    • Socha, L., 2004, "Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results - Part II: Applications," Appl. Mech. Rev., (in press).
    • (2004) Appl. Mech. Rev.
    • Socha, L.1
  • 22
    • 0001177154 scopus 로고
    • Corrected equivalent linearization
    • Socha, L., and Pawleta, M., 1994, "Corrected Equivalent Linearization," Machine Dynamics Problems, 7, pp. 149-161.
    • (1994) Machine Dynamics Problems , vol.7 , pp. 149-161
    • Socha, L.1    Pawleta, M.2
  • 23
    • 0031358748 scopus 로고    scopus 로고
    • Stochastic linearization critically re-examined
    • Elishakoff, I., and Colojani, P., 1997, "Stochastic Linearization Critically Re-examined," Chaos, Solitons Fractals, 8, pp. 1957-1972.
    • (1997) Chaos, Solitons Fractals , vol.8 , pp. 1957-1972
    • Elishakoff, I.1    Colojani, P.2
  • 24
    • 0032024144 scopus 로고    scopus 로고
    • A subtle error in conventional stochastic linearization techniques
    • Colojani, P., and Elishakoff, I., 1998, "A Subtle Error in Conventional Stochastic Linearization Techniques," Chaos, Solitons Fractals, 9, pp. 479-491.
    • (1998) Chaos, Solitons Fractals , vol.9 , pp. 479-491
    • Colojani, P.1    Elishakoff, I.2
  • 25
    • 0032155228 scopus 로고    scopus 로고
    • A new look at the stochastic linearization technique for hyperbolic tangent oscillator
    • Colojani, P., and Elishakoff, I., 1998, "A New Look at the Stochastic Linearization Technique for Hyperbolic Tangent Oscillator," Chaos, Solitons Fractals, 9, pp. 1611-1623.
    • (1998) Chaos, Solitons Fractals , vol.9 , pp. 1611-1623
    • Colojani, P.1    Elishakoff, I.2
  • 26
    • 0032027579 scopus 로고    scopus 로고
    • Booton's problem reexamined
    • Elishakoff, I., and Colojani, P., 1998, "Booton's Problem Reexamined," J. Sound Vib., 210, pp. 683-691.
    • (1998) J. Sound Vib. , vol.210 , pp. 683-691
    • Elishakoff, I.1    Colojani, P.2
  • 27
    • 0032261741 scopus 로고    scopus 로고
    • Stochastic linearization: The theory
    • Bernard, P., and Wu, L., 1998, "Stochastic Linearization: The Theory," J. Appl. Probab., 35, pp. 718-730.
    • (1998) J. Appl. Probab. , vol.35 , pp. 718-730
    • Bernard, P.1    Wu, L.2
  • 28
    • 0032044720 scopus 로고    scopus 로고
    • Stochastic linearization: What is available what is not
    • Bernard, P., 1998, "Stochastic Linearization: What is Available What is not," Computers and Structures, 67, pp. 9-18.
    • (1998) Computers and Structures , vol.67 , pp. 9-18
    • Bernard, P.1
  • 29
    • 0343250903 scopus 로고    scopus 로고
    • Some remarks on equivalent linearization of stochastic systems
    • B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam
    • Socha, L., and Pawleta, M., 1999, "Some Remarks on Equivalent Linearization of Stochastic Systems," Stochastic Structural Dynamics, B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam, pp. 105-112.
    • (1999) Stochastic Structural Dynamics , pp. 105-112
    • Socha, L.1    Pawleta, M.2
  • 30
    • 0034831556 scopus 로고    scopus 로고
    • Is stochastic equivalent linearization a subtly flawed procedure
    • Crandall, S. H., 2001, "Is Stochastic Equivalent Linearization a Subtly Flawed Procedure," Probab. Eng. Mech, 16, pp. 169-176.
    • (2001) Probab. Eng. Mech , vol.16 , pp. 169-176
    • Crandall, S.H.1
  • 31
    • 31944434136 scopus 로고
    • On statistical linearization for nonlinear oscillators
    • R. V. Rammath, J. K. Hedrick and H. M. Paynter, eds., Am. Soc. Mech. Engrg., New York
    • Crandall, S. H., 1980, "On Statistical Linearization For Nonlinear Oscillators," Nonlinear System Analysis and Synthesis, R. V. Rammath, J. K. Hedrick and H. M. Paynter, eds., Am. Soc. Mech. Engrg., New York, pp. 199-209.
    • (1980) Nonlinear System Analysis and Synthesis , pp. 199-209
    • Crandall, S.H.1
  • 32
    • 23444455444 scopus 로고    scopus 로고
    • On using non-gaussian distributions to perform statistical linearization
    • W. Q. Zhu, G. Q. Cai and R. C. Zhang, eds., CRC Press, Boca Raton
    • Crandall, S. H., 2003, "On Using Non-Gaussian Distributions to Perform Statistical Linearization," Advances in Stochastic Structural Dynamics, W. Q. Zhu, G. Q. Cai and R. C. Zhang, eds., CRC Press, Boca Raton, pp. 49-62.
    • (2003) Advances in Stochastic Structural Dynamics , pp. 49-62
    • Crandall, S.H.1
  • 33
    • 31944433048 scopus 로고    scopus 로고
    • Stochastic linearization: True standard or gaussian
    • P. D. Spanos and G. Deodatis, eds., Millpress, Rotterdam
    • Bernard, P., 2003, "Stochastic Linearization: True Standard or Gaussian," Computational Stochastic Mechanics, P. D. Spanos and G. Deodatis, eds., Millpress, Rotterdam, pp. 59-66.
    • (2003) Computational Stochastic Mechanics , pp. 59-66
    • Bernard, P.1
  • 34
    • 0035935845 scopus 로고    scopus 로고
    • Are statistical linearization and standard equivalent linearization the same methods in the analysis of stochastic dynamic systems
    • Socha, L., and Pawleta, M., 2001, "Are Statistical Linearization and Standard Equivalent Linearization the Same Methods in the Analysis of Stochastic Dynamic Systems," J. Sound Vib., 248, pp. 387-394.
    • (2001) J. Sound Vib. , vol.248 , pp. 387-394
    • Socha, L.1    Pawleta, M.2
  • 35
    • 0242499456 scopus 로고    scopus 로고
    • An improved criterion of gaussian equivalent linearization for analysis of nonlinear stochastic systems
    • Anh, N. D., and Hung, L. X., 2003, "An Improved Criterion of Gaussian Equivalent Linearization for Analysis of Nonlinear Stochastic Systems," J. Sound Vib., 268, pp. 177-200.
    • (2003) J. Sound Vib. , vol.268 , pp. 177-200
    • Anh, N.D.1    Hung, L.X.2
  • 36
    • 31944443550 scopus 로고
    • Stochastic linearization of composite dynamic systems
    • Pawleta, M., 1991, "Stochastic Linearization of Composite Dynamic Systems," (in Polish) J. Theor. Appl. Mech., 29, pp. 355-375.
    • (1991) J. Theor. Appl. Mech. , vol.29 , pp. 355-375
    • Pawleta, M.1
  • 38
    • 0035480569 scopus 로고    scopus 로고
    • Nonlinear stochastic response distributions by local statistical linearization
    • Pradlwarter, H. J., 2001, "Nonlinear Stochastic Response Distributions by Local Statistical Linearization," Int. J. Non-Linear Mech., 36, pp. 1135-1151.
    • (2001) Int. J. Non-Linear Mech. , vol.36 , pp. 1135-1151
    • Pradlwarter, H.J.1
  • 39
    • 0009455932 scopus 로고    scopus 로고
    • An extension of the method of statistical linearization
    • Kazakov, I. E., 1998, "An Extension of the Method of Statistical Linearization," Avtomatika i Telemekhanika, 59, pp. 220-224.
    • (1998) Avtomatika i Telemekhanika , vol.59 , pp. 220-224
    • Kazakov, I.E.1
  • 40
    • 0029390358 scopus 로고
    • Improving the equivalent linearization technique for stochastic duffing oscillators
    • Lee, J., 1995, "Improving the Equivalent Linearization Technique for Stochastic Duffing Oscillators," J. Sound Vib., 186, pp. 846-855.
    • (1995) J. Sound Vib. , vol.186 , pp. 846-855
    • Lee, J.1
  • 41
    • 0032044863 scopus 로고    scopus 로고
    • Structures subjected to stationary stochastic loadings. Preliminary assessment by statistical linearization combined with an evolutionary algorithm
    • Grundmann, H., Hartmann, C., and Waubke, H., 1998, "Structures Subjected to Stationary Stochastic Loadings. Preliminary Assessment by Statistical Linearization Combined With an Evolutionary Algorithm," Comput. Struct., 67, pp. 53-64.
    • (1998) Comput. Struct. , vol.67 , pp. 53-64
    • Grundmann, H.1    Hartmann, C.2    Waubke, H.3
  • 43
    • 0032666588 scopus 로고    scopus 로고
    • Developing force-limited random vibration test specifications for nonlinear systems using the frequency-shift method
    • St. Louis, 4/12-15/99
    • Davis, G. L., and Spanos, P. D., 1999, "Developing Force-Limited Random Vibration Test Specifications for Nonlinear Systems Using the Frequency-Shift Method," Proc. of 40th AIAA/SDM Conference, St. Louis, 4/12-15/99, pp. 1688-1698.
    • (1999) Proc. of 40th AIAA/SDM Conference , pp. 1688-1698
    • Davis, G.L.1    Spanos, P.D.2
  • 45
    • 0028496397 scopus 로고
    • Some remarks on exact linearization of a class of stochastic dynamical systems
    • Socha, L., 1994, "Some Remarks on Exact Linearization of a Class of Stochastic Dynamical Systems," IEEE Trans. Autom. Control, 39, pp. 1980-1984.
    • (1994) IEEE Trans. Autom. Control , vol.39 , pp. 1980-1984
    • Socha, L.1
  • 46
    • 0026792265 scopus 로고
    • Extreme response predictions of nonlinear compliant offshore structures by stochastic linearization
    • Naess, A., Galeazzi, F., and Dogliani, M., 1992, "Extreme Response Predictions of Nonlinear Compliant Offshore Structures by Stochastic Linearization," Appl. Aciean. Res., 14, pp. 71-81.
    • (1992) Appl. Aciean. Res. , vol.14 , pp. 71-81
    • Naess, A.1    Galeazzi, F.2    Dogliani, M.3
  • 47
    • 0033528047 scopus 로고    scopus 로고
    • A technique for obtaining approximate solutions in gaussian equivalent linearization
    • Anh, N. D., and Schiehlen, W., 1999, "A Technique for Obtaining Approximate Solutions in Gaussian Equivalent Linearization," Comput. Methods Appl. Mech. Eng., 168, pp. 113-119.
    • (1999) Comput. Methods Appl. Mech. Eng. , vol.168 , pp. 113-119
    • Anh, N.D.1    Schiehlen, W.2
  • 48
    • 0031367131 scopus 로고    scopus 로고
    • New criterion for gaussian equivalent linearization
    • Anh, N. D., and Schiehlen, W., 1997, "New Criterion for Gaussian Equivalent Linearization," Eur. J. Mech. A/Solids, 16, pp. 1025-1039.
    • (1997) Eur. J. Mech. A/Solids , vol.16 , pp. 1025-1039
    • Anh, N.D.1    Schiehlen, W.2
  • 49
    • 0019543418 scopus 로고
    • Improved statistical linearization for analysis of control of nonlinear stochastic systems: Part I: An extended statistical linearization technique
    • Beaman, J. J., and Hedrick, J. K., 1981, "Improved Statistical Linearization for Analysis of Control of Nonlinear Stochastic Systems: Part I: An Extended Statistical Linearization Technique," ASME J. Dyn. Syst., Meas., Control, 101, pp. 14-21.
    • (1981) ASME J. Dyn. Syst., Meas., Control , vol.101 , pp. 14-21
    • Beaman, J.J.1    Hedrick, J.K.2
  • 50
    • 0012551714 scopus 로고    scopus 로고
    • Cascade linearization of nonlinear system subjected to gaussian excitations
    • B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam
    • Chen, G., 1999, "Cascade Linearization of Nonlinear System Subjected to Gaussian Excitations," Stochastic Structural Dynamics, B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam, pp. 69-76.
    • (1999) Stochastic Structural Dynamics , pp. 69-76
    • Chen, G.1
  • 51
    • 31944434896 scopus 로고    scopus 로고
    • Zero and non-zero mean analysis of MDOF hysteretic systems via direct linearization
    • B. F. Spencer and E. A. Johnson, Balkema, Rotterdam
    • Duval, L., et al. 1999, "Zero and Non-Zero Mean Analysis of MDOF Hysteretic Systems Via Direct Linearization," Stochastic Structural Dynamics, B. F. Spencer and E. A. Johnson, Balkema, Rotterdam, pp. 77-84.
    • (1999) Stochastic Structural Dynamics , pp. 77-84
    • Duval, L.1
  • 52
    • 0016951781 scopus 로고
    • Application of normal mode theory of pseudo force methods to solve problems with nonlinearities
    • Molnar, A. J., Vaschi, K. M., and Gay, C. W., 1976, "Application of Normal Mode Theory of Pseudo Force Methods to Solve Problems With Nonlinearities," ASME J. Pressure Vessel Technol., 98, pp. 151-156.
    • (1976) ASME J. Pressure Vessel Technol. , vol.98 , pp. 151-156
    • Molnar, A.J.1    Vaschi, K.M.2    Gay, C.W.3
  • 53
    • 0030127922 scopus 로고    scopus 로고
    • Pseudo-force method for a stochastic analysis of nonlinear Systems
    • Benfratello, S., 1996, "Pseudo-Force Method for a Stochastic Analysis of Nonlinear Systems," Probab. Eng. Mech., 11, pp. 113-123.
    • (1996) Probab. Eng. Mech. , vol.11 , pp. 113-123
    • Benfratello, S.1
  • 54
    • 0027303471 scopus 로고
    • A new state estimation method for a quantized stochastic sound system based on a generalized statistical linearization
    • Uchino, E., Ohta, M., and Takata, H., 1993, "A New State Estimation Method for a Quantized Stochastic Sound System Based on a Generalized Statistical Linearization," J. Sound Vib., 160, pp. 193-203.
    • (1993) J. Sound Vib. , vol.160 , pp. 193-203
    • Uchino, E.1    Ohta, M.2    Takata, H.3
  • 55
    • 0037575505 scopus 로고    scopus 로고
    • Conditional linearization in nonlinear random vibration
    • Iyengar, R. N., and Roy, D., 1996, "Conditional Linearization in Nonlinear Random Vibration," J. Eng. Mech., 119, pp. 197-200.
    • (1996) J. Eng. Mech. , vol.119 , pp. 197-200
    • Iyengar, R.N.1    Roy, D.2
  • 56
    • 0018444732 scopus 로고
    • Harmonic analysis of dynamic systems with non-symmetric nonlinearities
    • Spanos, P. T. D., and Iwan, W. D., 1979, "Harmonic Analysis of Dynamic Systems With Non-Symmetric Nonlinearities," ASME J. Dyn. Syst., Meas., Control, 101, pp. 31-36.
    • (1979) ASME J. Dyn. Syst., Meas., Control , vol.101 , pp. 31-36
    • Spanos, P.T.D.1    Iwan, W.D.2
  • 57
    • 0000987662 scopus 로고    scopus 로고
    • New approaches for the study of nonlinear oscillators
    • Iyengar, R. N, and Roy, D., 1998, "New Approaches for the Study of Nonlinear Oscillators," J. Sound Vib., 211, pp. 843-875.
    • (1998) J. Sound Vib. , vol.211 , pp. 843-875
    • Iyengar, R.N.1    Roy, D.2
  • 58
    • 0000987661 scopus 로고    scopus 로고
    • Extensions of the phase space linearization method
    • Iyengar, R. N., and Roy, D., 1998, "Extensions of the Phase Space Linearization Method," J. Sound Vib., 211, pp. 877-906.
    • (1998) J. Sound Vib. , vol.211 , pp. 877-906
    • Iyengar, R.N.1    Roy, D.2
  • 59
    • 0034325967 scopus 로고    scopus 로고
    • Exploration of the phase-space linearization method For deterministic and stochastic nonlinear dynamical systems
    • Roy, D., 2000, "Exploration of the Phase-Space Linearization Method for Deterministic and Stochastic Nonlinear Dynamical Systems," Nonlinear Dyn., 23, pp. 225-258.
    • (2000) Nonlinear Dyn. , vol.23 , pp. 225-258
    • Roy, D.1
  • 60
    • 0027836626 scopus 로고
    • A new philosophy for stochastic equivalent linearization
    • Casciati, F., Faravelli, L., and Hasofer, A. M., 1993, "A New Philosophy for Stochastic Equivalent Linearization," Probab. Eng. Mech., 8, pp. 179-185.
    • (1993) Probab. Eng. Mech. , vol.8 , pp. 179-185
    • Casciati, F.1    Faravelli, L.2    Hasofer, A.M.3
  • 61
    • 0028479626 scopus 로고
    • The power spectral density of response for a strongly nonlinear random oscillator
    • Bouc, R., 1994, "The Power Spectral Density of Response for a Strongly Nonlinear Random Oscillator," J. Sound Vib., 175, pp. 317-331.
    • (1994) J. Sound Vib. , vol.175 , pp. 317-331
    • Bouc, R.1
  • 62
    • 0031192220 scopus 로고    scopus 로고
    • Asymptotic analysis and linearization of the randomly perturbed two-wells duffing oscillator
    • Ismaili, M. A., and Bernard, P., 1997, "Asymptotic Analysis and Linearization of the Randomly Perturbed Two-Wells Duffing Oscillator," Probab. Eng. Mech., 12, pp. 171-178.
    • (1997) Probab. Eng. Mech. , vol.12 , pp. 171-178
    • Ismaili, M.A.1    Bernard, P.2
  • 63
    • 0036604695 scopus 로고    scopus 로고
    • A novel local stochastic linearization method via two extremum entropy principles
    • Ricciardi, G., and Elishakoff, I., 2002, "A Novel Local Stochastic Linearization Method Via Two Extremum Entropy Principles," Int. J. Non-Linear Mech., 37, pp. 785-800.
    • (2002) Int. J. Non-Linear Mech. , vol.37 , pp. 785-800
    • Ricciardi, G.1    Elishakoff, I.2
  • 64
    • 31944442663 scopus 로고
    • Moment equivalent linearization technique
    • SII
    • Socha, L., 1995, "Moment Equivalent Linearization Technique," Z. Angew. Math. Mech., 75, SII, pp. 577-578.
    • (1995) Z. Angew. Math. Mech. , vol.75 , pp. 577-578
    • Socha, L.1
  • 65
    • 0037846088 scopus 로고    scopus 로고
    • Invariance property: Higher-order extension and application to gaussian random variables
    • Cheded, L., 2003, "Invariance Property: Higher-Order Extension and Application to Gaussian Random Variables," Signal Process., 83, pp. 1545-1551.
    • (2003) Signal Process. , vol.83 , pp. 1545-1551
    • Cheded, L.1
  • 66
    • 0007650976 scopus 로고
    • A new stochastic linearization technique based on minimum mean-square deviation of potential Energies
    • Y. K. Lin and I. Elishakoff, eds., Springer-Verlag, Berlin
    • Zhang, X. T., Elishakoff, I., and Zhang, R. Ch., 1991, "A New Stochastic Linearization Technique Based on Minimum Mean-Square Deviation of Potential Energies," Stochastic Structural Dynamics - New Theoretical Developments, Y. K. Lin and I. Elishakoff, eds., Springer-Verlag, Berlin, pp. 327-338.
    • (1991) Stochastic Structural Dynamics - new Theoretical Developments , pp. 327-338
    • Zhang, X.T.1    Elishakoff, I.2    Ch, Z.R.3
  • 67
    • 0002076954 scopus 로고
    • Some recent developments in stochastic linearization technique
    • A. H. Cheng and C. Y. Yang, eds., Computational Mechanics Publication, Southampton, N. Y.
    • Elishakoff, I., and Falsone, G., 1993, "Some Recent Developments in Stochastic Linearization Technique," Computational Stochastic Mechanics, A. H. Cheng and C. Y. Yang, eds., Computational Mechanics Publication, Southampton, N. Y., pp. 175-194.
    • (1993) Computational Stochastic Mechanics , pp. 175-194
    • Elishakoff, I.1    Falsone, G.2
  • 68
    • 0028203137 scopus 로고
    • Modified stochastic linearization technique for coloured noise excitation of duffing oscillator
    • Falsone, G., and Elishakoff, I., 1994, "Modified Stochastic Linearization Technique for Coloured Noise Excitation of Duffing Oscillator," Int. J. Non-Linear Mech., 29, pp. 65-69.
    • (1994) Int. J. Non-Linear Mech. , vol.29 , pp. 65-69
    • Falsone, G.1    Elishakoff, I.2
  • 69
    • 0013086150 scopus 로고
    • Comparison of the new energy-based version of the stochastic linearization technique
    • N. Bellomo and F. Casciati, eds., Springer, Berlin
    • Elishakoff, I., and Zhang, R. C., 1991, Comparison of the New Energy-Based Version of the Stochastic Linearization Technique, Nonlinear Stochastic Mechanics, N. Bellomo and F. Casciati, eds., Springer, Berlin, pp. 201-212.
    • (1991) Nonlinear Stochastic Mechanics , pp. 201-212
    • Elishakoff, I.1    Zhang, R.C.2
  • 70
    • 0027114884 scopus 로고
    • An appraisal of different stochastic linearization criteria
    • Elishakoff, I., and Zhang, X. T., 1992, "An Appraisal of Different Stochastic Linearization Criteria," J. Sound Vib., 153, pp. 370-375.
    • (1992) J. Sound Vib. , vol.153 , pp. 370-375
    • Elishakoff, I.1    Zhang, X.T.2
  • 71
    • 0027206313 scopus 로고
    • Successful combination of the stochastic linearization and monte carlo methods
    • Elishakoff, I., and Colombi, P., 1993, "Successful Combination of the Stochastic Linearization and Monte Carlo Methods," J. Sound Vib., 160, pp. 554-558.
    • (1993) J. Sound Vib. , vol.160 , pp. 554-558
    • Elishakoff, I.1    Colombi, P.2
  • 72
    • 0042107814 scopus 로고
    • Method of stochastic linearization: Revisited and improved
    • P. D. Spanos and C. A. Brebbia, eds., Computational Mechanics Publication and Elsevier Applied Science, London
    • Elishakoff, I., 1991, "Method of Stochastic Linearization: Revisited and Improved," Computational Stochastic Mechanics, P. D. Spanos and C. A. Brebbia, eds., Computational Mechanics Publication and Elsevier Applied Science, London, pp. 101-111.
    • (1991) Computational Stochastic Mechanics , pp. 101-111
    • Elishakoff, I.1
  • 73
    • 0038935737 scopus 로고
    • Some results in stochastic linearization of nonlinear systems
    • W. H. Klieman and N. Namachchivaya, CRC Press, Boca Raton
    • Elishakoff, I., 1995, "Some Results in Stochastic Linearization of Nonlinear Systems," Nonlinear Dynamics and Stochastic Mechanics, W. H. Klieman and N. Namachchivaya, CRC Press, Boca Raton, pp. 259-281.
    • (1995) Nonlinear Dynamics and Stochastic Mechanics , pp. 259-281
    • Elishakoff, I.1
  • 74
    • 0027877978 scopus 로고
    • Analysis on control of flow-induced vibration by tuned liquid damper with crossed tubelike containers
    • Zhang, X. T., Zhang, R. C., and Xu, Y. L., 1993, "Analysis on Control of Flow-Induced Vibration by Tuned Liquid Damper With Crossed TubeLike Containers," J. Wind. Eng. Ind. Aerodyn., 50, pp. 351-360.
    • (1993) J. Wind. Eng. Ind. Aerodyn. , vol.50 , pp. 351-360
    • Zhang, X.T.1    Zhang, R.C.2    Xu, Y.L.3
  • 75
    • 0028412963 scopus 로고
    • Analysis of nonlinear sliding structures by modified stochastic linearization methods
    • Zhang, R., Elishakoff, I., and Shinozuka, M., 1994, "Analysis of Nonlinear Sliding Structures by Modified Stochastic Linearization Methods," Nonlinear Dyn., 5, pp. 299-312.
    • (1994) Nonlinear Dyn. , vol.5 , pp. 299-312
    • Zhang, R.1    Elishakoff, I.2    Shinozuka, M.3
  • 76
    • 0029250365 scopus 로고
    • Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method
    • Fang, J., Elishakoff, I., and Caimi, R., 1995, "Nonlinear Response of a Beam Under Stationary Random Excitation by Improved Stochastic Linearization Method," Appl. Math. Model., 19, pp. 106-111.
    • (1995) Appl. Math. Model. , vol.19 , pp. 106-111
    • Fang, J.1    Elishakoff, I.2    Caimi, R.3
  • 77
    • 0029324217 scopus 로고
    • Random vibration of a nonlinearly deformed beam by a new stochastic linearization technique
    • Elishakoff, I., Fang, J., and Caimi, R., 1995, "Random Vibration of a Nonlinearly Deformed Beam by a New Stochastic Linearization Technique," Int. J. Solids Struct., 32, pp. 1571-1584.
    • (1995) Int. J. Solids Struct. , vol.32 , pp. 1571-1584
    • Elishakoff, I.1    Fang, J.2    Caimi, R.3
  • 78
    • 31944435996 scopus 로고    scopus 로고
    • Complementary energy Criterion in nonlinear stochastic dynamics
    • R. L. Melchers and M. G. Steward, eds., A. A. Balkema, Rotterdam
    • Elishakoff, I., and Bert, C., 1999, "Complementary Energy Criterion in Nonlinear Stochastic Dynamics," Application of Stochastic and Probability, R. L. Melchers and M. G. Steward, eds., A. A. Balkema, Rotterdam, pp. 821-825.
    • (1999) Application of Stochastic and Probability , pp. 821-825
    • Elishakoff, I.1    Bert, C.2
  • 79
    • 0034295947 scopus 로고    scopus 로고
    • Multiple combinations of the stochastic linearization criteria by the moment approach
    • Elishakoff, I., 2000, "Multiple Combinations of the Stochastic Linearization Criteria by the Moment Approach," J. Sound Vib., 237, pp. 550-559.
    • (2000) J. Sound Vib. , vol.237 , pp. 550-559
    • Elishakoff, I.1
  • 80
    • 0012551713 scopus 로고    scopus 로고
    • Energy-based stochastic equivalent linearization with optimized power
    • B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam
    • Zhang, X. T., and Zhang, R. C., 1999, "Energy-Based Stochastic Equivalent Linearization With Optimized Power," Stochastic Structural Dynamics, B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam, pp. 113-117.
    • (1999) Stochastic Structural Dynamics , pp. 113-117
    • Zhang, X.T.1    Zhang, R.C.2
  • 81
    • 31944450981 scopus 로고    scopus 로고
    • Work/energy-based stochastic equivalent linearization with optimized power
    • Zhang, R. C., 2000, "Work/Energy-Based Stochastic Equivalent Linearization With Optimized Power," J. Sound Vib., 230, pp. 468-475.
    • (2000) J. Sound Vib. , vol.230 , pp. 468-475
    • Zhang, R.C.1
  • 82
    • 0035435358 scopus 로고    scopus 로고
    • Equivalent linearization method based on energy-to c th-power difference criterion in nonlinear stochastic vibration analysis of multi-degree-of-freedom systems
    • Wang, G. Y., and Dai, M., 2001, "Equivalent Linearization Method Based on Energy-to c th-Power Difference Criterion in Nonlinear Stochastic Vibration Analysis of Multi-Degree-of-Freedom Systems," Appl. Math. Mech., 22, pp. 947-955.
    • (2001) Appl. Math. Mech. , vol.22 , pp. 947-955
    • Wang, G.Y.1    Dai, M.2
  • 83
    • 0015768439 scopus 로고
    • Correlations and spectra of nonlinear system response
    • Crandall, S., 1973, "Correlations and Spectra of Nonlinear System Response," Nonlinear Vibration Problems, 14, pp. 39-53.
    • (1973) Nonlinear Vibration Problems , vol.14 , pp. 39-53
    • Crandall, S.1
  • 84
    • 0020706234 scopus 로고
    • Linearization of nonlinear stochastically excited dynamic systems
    • Apetaur, M., and Opicka, F., 1983, "Linearization of Nonlinear Stochastically Excited Dynamic Systems," J. Sound Vib., 86, pp. 563-585.
    • (1983) J. Sound Vib. , vol.86 , pp. 563-585
    • Apetaur, M.1    Opicka, F.2
  • 85
    • 30244498649 scopus 로고
    • Spectral response of asymetrical random oscillators
    • P. D. Spanos, eds., A. A. Balkema, Rotterdam
    • Bellizzi, S., and Bouc, R., 1995, "Spectral Response of Asymetrical Random Oscillators," Computational Stochastic Mechanics, P. D. Spanos, eds., A. A. Balkema, Rotterdam, pp. 77-86.
    • (1995) Computational Stochastic Mechanics , pp. 77-86
    • Bellizzi, S.1    Bouc, R.2
  • 86
    • 0029733308 scopus 로고    scopus 로고
    • Spectral response of asymetrical random oscillators
    • Bellizzi, S., and Bouc, R., 1996, "Spectral Response of Asymetrical Random Oscillators," Probab. Eng. Mech., 11, pp. 51-59.
    • (1996) Probab. Eng. Mech. , vol.11 , pp. 51-59
    • Bellizzi, S.1    Bouc, R.2
  • 87
    • 0033164883 scopus 로고    scopus 로고
    • Analysis of multi-degree of freedom strongly nonlinear mechanical systems with random input: Part II: Equivalent linear system with random matrices and spectral density matrix
    • Bellizzi, S., and Bouc, R., 1999, "Analysis of Multi-Degree of Freedom Strongly Nonlinear Mechanical Systems With Random Input: Part II: Equivalent Linear System With Random Matrices and Spectral Density Matrix," Probab. Eng. Mech., 14, pp. 245-256.
    • (1999) Probab. Eng. Mech. , vol.14 , pp. 245-256
    • Bellizzi, S.1    Bouc, R.2
  • 88
    • 31944436116 scopus 로고
    • About stochastic linearization
    • N. Bellomo and F. Casciati, eds., Springer, Berlin
    • Bernard, P., 1991, "About Stochastic Linearization," Nonlinear Stochastic Mechanics, N. Bellomo and F. Casciati, eds., Springer, Berlin, pp. 61-70.
    • (1991) Nonlinear Stochastic Mechanics , pp. 61-70
    • Bernard, P.1
  • 89
    • 0028416257 scopus 로고
    • Random dynamics of structures with gaps: Simulation and spectral linearization
    • Bernard, P., and Taazount, M., 1994, "Random Dynamics of Structures With Gaps: Simulation and Spectral Linearization," Nonlinear Dyn., 5, pp. 313-335.
    • (1994) Nonlinear Dyn. , vol.5 , pp. 313-335
    • Bernard, P.1    Taazount, M.2
  • 90
    • 0030242388 scopus 로고    scopus 로고
    • Design of a system of linear oscillators spectrally equivalent to a nonlinear one
    • Ismaili, M. A., 1996, "Design of a System of Linear Oscillators Spectrally Equivalent to a Nonlinear One," Int. J. Non-Linear Mech., 31, pp. 573-580.
    • (1996) Int. J. Non-Linear Mech. , vol.31 , pp. 573-580
    • Ismaili, M.A.1
  • 91
    • 0009343326 scopus 로고
    • Application of probability metrics to the linearization and sensitivity analysis of stochastic dynamic systems
    • Hanoi, Vietnam
    • Socha, L., 1995, "Application of Probability Metrics to the Linearization and Sensitivity Analysis of Stochastic Dynamic Systems," Proc. of Int. Conference on Nonlinear Stochastic Dynamics, Hanoi, Vietnam, pp. 193-202.
    • (1995) Proc. of Int. Conference on Nonlinear Stochastic Dynamics , pp. 193-202
    • Socha, L.1
  • 92
    • 22444456169 scopus 로고    scopus 로고
    • Probability density equivalent linearization technique for nonlinear oscillator with stochastic excitations
    • Socha, L., 1998, "Probability Density Equivalent Linearization Technique for Nonlinear Oscillator With Stochastic Excitations," Z. Angew. Math. Mech., 78(83), pp. 1087-1088.
    • (1998) Z. Angew. Math. Mech. , vol.78 , Issue.83 , pp. 1087-1088
    • Socha, L.1
  • 93
    • 0000253924 scopus 로고    scopus 로고
    • Probability density equivalent linearization and nonlinearization techniques
    • Socha, L., 1999, "Probability Density Equivalent Linearization and Nonlinearization Techniques," Arch. Mech., 51, pp. 487-507.
    • (1999) Arch. Mech. , vol.51 , pp. 487-507
    • Socha, L.1
  • 94
    • 0000823133 scopus 로고    scopus 로고
    • Statistical and equivalent linearization techniques with probability density criteria
    • Socha, L., 1999, "Statistical and Equivalent Linearization Techniques with Probability Density Criteria," J. Theor. Appl. Mech., 37, pp. 369-382.
    • (1999) J. Theor. Appl. Mech. , vol.37 , pp. 369-382
    • Socha, L.1
  • 95
    • 0037050829 scopus 로고    scopus 로고
    • Probability density statistical and equivalent linearization techniques
    • Socha, L., 2002, "Probability Density Statistical and Equivalent Linearization Techniques," Int. J. Syst. Sci., 33, pp. 107-127.
    • (2002) Int. J. Syst. Sci. , vol.33 , pp. 107-127
    • Socha, L.1
  • 96
    • 31944431537 scopus 로고    scopus 로고
    • Application of probability metrics to the nonlinearization analysis
    • B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam
    • Socha, L., 1999, "Application of Probability Metrics to the Nonlinearization Analysis," Stochastic Structural Dynamics, B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam, pp. 99-104.
    • (1999) Stochastic Structural Dynamics , pp. 99-104
    • Socha, L.1
  • 97
    • 0034539714 scopus 로고    scopus 로고
    • Application of linearization methods with probability density criteria in control problems
    • CD-ROM 4, Danvers, MA
    • Socha, L., and Blachuta, M., 2000, "Application of Linearization Methods With Probability Density Criteria in Control Problems," Proc. of American Control Conference, Chicago, CD-ROM 4, Danvers, MA, pp. 2775-2779.
    • (2000) Proc. of American Control Conference, Chicago , pp. 2775-2779
    • Socha, L.1    Blachuta, M.2
  • 98
    • 31944449386 scopus 로고    scopus 로고
    • Statistical linearization of the duffing oscillator under non-gaussian excitations in probability density functions space
    • Socha, L., 2001, "Statistical Linearization of the Duffing Oscillator Under Non-Gaussian Excitations in Probability Density Functions Space," Z. Angew. Math. Mech., 81(S3), pp. 647-648.
    • (2001) Z. Angew. Math. Mech. , vol.81 , Issue.S3 , pp. 647-648
    • Socha, L.1
  • 99
    • 0014808658 scopus 로고
    • Approximate technique for treating random vibration of hysteretic systems
    • Lutes, L. D., 1970, "Approximate Technique for Treating Random Vibration of Hysteretic Systems," J. Acoust. Soc. Am., 48, pp. 299-306.
    • (1970) J. Acoust. Soc. Am. , vol.48 , pp. 299-306
    • Lutes, L.D.1
  • 100
    • 0000483529 scopus 로고
    • Equivalent nonlinearization of nonlinear systems to random excitations
    • To, C. W. S., and Li, D. M., 1991, "Equivalent Nonlinearization of Nonlinear Systems to Random Excitations," Probab. Eng. Mech., 6, pp. 184-192.
    • (1991) Probab. Eng. Mech. , vol.6 , pp. 184-192
    • To, C.W.S.1    Li, D.M.2
  • 101
    • 38249030717 scopus 로고
    • A new approximate solution technique for randomly excited nonlinear oscillators
    • Cai, C. Q., and Lin, Y. K., 1988, "A New Approximate Solution Technique for Randomly Excited Nonlinear Oscillators," Int. J. Non-Linear Mech., 23, pp. 409-420.
    • (1988) Int. J. Non-linear Mech. , vol.23 , pp. 409-420
    • Cai, C.Q.1    Lin, Y.K.2
  • 102
    • 0027807316 scopus 로고
    • Approximate solution for nonlinear random vibration problems by partial stochastic linearization
    • Elishakoff, I., and Cai, G. Q., 1993, "Approximate Solution for Nonlinear Random Vibration Problems by Partial Stochastic Linearization," Probab. Eng. Mech., 8, pp. 233-237.
    • (1993) Probab. Eng. Mech. , vol.8 , pp. 233-237
    • Elishakoff, I.1    Cai, G.Q.2
  • 103
    • 0027146826 scopus 로고
    • A statistical nonlinearization technique in structural dynamics
    • To, C. W. S., 1993, "A Statistical Nonlinearization Technique in Structural Dynamics," J. Sound Vib., 161, pp. 543-548.
    • (1993) J. Sound Vib. , vol.161 , pp. 543-548
    • To, C.W.S.1
  • 104
    • 0030190349 scopus 로고    scopus 로고
    • Approximate solutions for nonlinear random vibration problems
    • Polidori, D. C., and Beck, J. L., 1996, "Approximate Solutions for Nonlinear Random Vibration Problems," Probab. Eng. Mech., 11, pp. 179-185.
    • (1996) Probab. Eng. Mech. , vol.11 , pp. 179-185
    • Polidori, D.C.1    Beck, J.L.2
  • 105
    • 0034225581 scopus 로고    scopus 로고
    • A new stationary PDF approximation for nonlinear oscillators
    • Polidori, D. C., Beck, J. L., and Papadimitriou C., 2000, "A New Stationary PDF Approximation for Nonlinear Oscillators," Int. J. Non-Linear Mech., 35, pp. 657-673.
    • (2000) Int. J. Non-linear Mech. , vol.35 , pp. 657-673
    • Polidori, D.C.1    Beck, J.L.2    Papadimitriou, C.3
  • 106
    • 0042040719 scopus 로고    scopus 로고
    • A new equivalent nonlinearization method for random vibrations of nonlinear systems
    • Lei, Z., and Qiu, C., 1996, "A New Equivalent Nonlinearization Method for Random Vibrations of Nonlinear Systems," Mech. Res. Commun., 23, pp. 131-136.
    • (1996) Mech. Res. Commun. , vol.23 , pp. 131-136
    • Lei, Z.1    Qiu, C.2
  • 107
    • 0031152551 scopus 로고    scopus 로고
    • An equivalent nonlinearization method for analyzing response of nonlinear systems to random excitations
    • Lei, Z., and Qiu, C., 1997, "An Equivalent Nonlinearization Method for Analyzing Response of Nonlinear Systems to Random Excitations," Appl. Math. Mech., 18, pp. 551-561.
    • (1997) Appl. Math. Mech. , vol.18 , pp. 551-561
    • Lei, Z.1    Qiu, C.2
  • 108
    • 0034227641 scopus 로고    scopus 로고
    • Statistic moments of the total energy of potential systems and application to equivalent nonlinearization
    • Cavaleri, L., and Di-Paola, M., 2000, "Statistic Moments of the Total Energy of Potential Systems and Application to Equivalent Nonlinearization," Int. J. Non-Linear Mech., 35, pp. 573-587.
    • (2000) Int. J. Non-linear Mech. , vol.35 , pp. 573-587
    • Cavaleri, L.1    Di-Paola, M.2
  • 109
    • 0030190348 scopus 로고    scopus 로고
    • A new equivalent nonlinearization technique
    • Wang, R., Kusumoto, S., and Zhang, Z., 1996, "A New Equivalent Nonlinearization Technique," Probab. Eng. Mech., 11, pp. 129-137.
    • (1996) Probab. Eng. Mech. , vol.11 , pp. 129-137
    • Wang, R.1    Kusumoto, S.2    Zhang, Z.3
  • 110
    • 0035401385 scopus 로고    scopus 로고
    • Equivalent nonlinear system method for stochastically excited and dissipated partially integrable hamiltonian systems
    • Zhu, W. Q., Huang, Z. L., and Suzuki, Y., 2001, "Equivalent Nonlinear System Method for Stochastically Excited and Dissipated Partially Integrable Hamiltonian Systems," Int. J. Non-Linear Mech., 36, pp. 773-786.
    • (2001) Int. J. Non-linear Mech. , vol.36 , pp. 773-786
    • Zhu, W.Q.1    Huang, Z.L.2    Suzuki, Y.3
  • 111
    • 0031152551 scopus 로고    scopus 로고
    • An equivalent nonlinearization method for analyzing response of nonlinear systems to random excitations
    • Zhao, L., and Chen, Q., 1997, "An Equivalent Nonlinearization Method for Analyzing Response of Nonlinear Systems to Random Excitations," Appl. Math. Mech., 18, pp. 551-561.
    • (1997) Appl. Math. Mech. , vol.18 , pp. 551-561
    • Zhao, L.1    Chen, Q.2
  • 112
    • 0042040719 scopus 로고    scopus 로고
    • A new equivalent nonlinearization method for random vibrations of nonlinear systems
    • Zhao, L., and Chen, Q., 1996, "A New Equivalent Nonlinearization Method for Random Vibrations of Nonlinear Systems," Mech. Res. Commun., 23, pp. 131-136.
    • (1996) Mech. Res. Commun. , vol.23 , pp. 131-136
    • Zhao, L.1    Chen, Q.2
  • 114
    • 0026169499 scopus 로고
    • Equivalent statistical quadratization for nonlinear system
    • Spanos, P. D., and Donley, M. G., 1991, "Equivalent Statistical Quadratization for Nonlinear System," J. Eng. Mech., 117, pp. 1289-1310.
    • (1991) J. Eng. Mech. , vol.117 , pp. 1289-1310
    • Spanos, P.D.1    Donley, M.G.2
  • 115
    • 0026926261 scopus 로고
    • Nonlinear multi-degree-of-freedom system random vibration by equivalent statistical quadratization
    • Spanos, P. D., and Donley, M. G., 1992, "Nonlinear Multi-Degree-of-Freedom System Random Vibration by Equivalent Statistical Quadratization," Int. J. Non-Linear Mech., 27, pp. 735-748.
    • (1992) Int. J. Non-linear Mech. , vol.27 , pp. 735-748
    • Spanos, P.D.1    Donley, M.G.2
  • 116
    • 0000011111 scopus 로고    scopus 로고
    • Equivalent statistical quadratization and qubicization for nonlinear system
    • Tognarelli, M. A., Zhao, J., Rao, K. B., and Kareem, A., 1997, "Equivalent Statistical Quadratization and Qubicization for Nonlinear System," J. Eng. Mech., 123, pp. 512-523.
    • (1997) J. Eng. Mech. , vol.123 , pp. 512-523
    • Tognarelli, M.A.1    Zhao, J.2    Rao, K.B.3    Kareem, A.4
  • 117
    • 0028112679 scopus 로고
    • Stochastic response of jack-up platform by the method for statistical quadratization
    • Quek, S. T., Li, X. M., and Koh, C. G., 1994, "Stochastic Response of Jack-Up Platform by the Method for Statistical Quadratization," Appl. Ocean. Res., 16, pp. 113-122.
    • (1994) Appl. Ocean. Res. , vol.16 , pp. 113-122
    • Quek, S.T.1    Li, X.M.2    Koh, C.G.3
  • 118
    • 0029393141 scopus 로고
    • Stochastic response of offshore platform by statistical cubization
    • Li, X. M., Quek, S. T., and Koh, C. G., 1995, "Stochastic Response of Offshore Platform by Statistical Cubization," J. Eng. Mech., 121, pp. 1056-1068.
    • (1995) J. Eng. Mech. , vol.121 , pp. 1056-1068
    • Li, X.M.1    Quek, S.T.2    Koh, C.G.3
  • 119
    • 0037248410 scopus 로고    scopus 로고
    • Moment equation analysis of base-isolated buldings subjected to support motion
    • Fatica, G., and Floris, C., 2003, "Moment Equation Analysis of Base-isolated Buldings Subjected to Support Motion," J. Eng. Mech., 129, pp. 94-106.
    • (2003) J. Eng. Mech. , vol.129 , pp. 94-106
    • Fatica, G.1    Floris, C.2
  • 120
    • 0028485207 scopus 로고
    • Analysis of non-gaussian surge response of tension leg platforms under wind loads
    • Kareem, A., and Zhao, J., 1994, "Analysis of Non-Gaussian Surge Response of Tension Leg Platforms Under Wind Loads," J. Offshore Mech. Arctic Eng., 116, pp. 137-144.
    • (1994) J. Offshore Mech. Arctic Eng. , vol.116 , pp. 137-144
    • Kareem, A.1    Zhao, J.2
  • 121
    • 0029544390 scopus 로고
    • Surge response statistics of tension leg platforms under wind and wave loads: Statistical quadratization approach
    • Kareem, A., Zhao, J., and Tognarelli, M. A., 1995, "Surge Response Statistics of Tension Leg Platforms Under Wind and Wave Loads: Statistical Quadratization Approach," Probab. Eng. Mech., 10, pp. 225-240.
    • (1995) Probab. Eng. Mech. , vol.10 , pp. 225-240
    • Kareem, A.1    Zhao, J.2    Tognarelli, M.A.3
  • 122
    • 0015205886 scopus 로고
    • The outpost properties of volterra systems (nonlinear systems with memory) driven by harmonic and gaussian inputs
    • Bedrosian, E., and Rice, S., 1971, "The Outpost Properties of Volterra Systems (Nonlinear Systems With Memory) Driven by Harmonic and Gaussian Inputs," Proc. IEEE, 59, pp. 1688-1707.
    • (1971) Proc. IEEE , vol.59 , pp. 1688-1707
    • Bedrosian, E.1    Rice, S.2
  • 123
    • 0006394482 scopus 로고    scopus 로고
    • Equivalent statistical qubicization for system and forcing nonlinearization
    • Tognarelli, M. A., Zhao, J., and Kareem, A., 1997, "Equivalent Statistical Qubicization for System and Forcing Nonlinearization," J. Eng. Mech., 123, pp. 890-893.
    • (1997) J. Eng. Mech. , vol.123 , pp. 890-893
    • Tognarelli, M.A.1    Zhao, J.2    Kareem, A.3
  • 124
    • 0036374175 scopus 로고    scopus 로고
    • A galerkin approach for power spectrum determination for nonlinear oscillators
    • Spanos, P. D., Di Paola, M., and Failla, G., 2002, "A Galerkin Approach for Power Spectrum Determination for Nonlinear Oscillators," Meccanica, 37, pp. 51-65.
    • (2002) Meccanica , vol.37 , pp. 51-65
    • Spanos, P.D.1    Di Paola, M.2    Failla, G.3
  • 125
    • 0033098922 scopus 로고    scopus 로고
    • Local similarity in nonlinear random vibration
    • Krenk, S., and Roberts, J. B., 1999, "Local Similarity in Nonlinear Random Vibration," ASME J. Appl. Mech., 66, pp. 225-235.
    • (1999) ASME J. Appl. Mech. , vol.66 , pp. 225-235
    • Krenk, S.1    Roberts, J.B.2
  • 126
    • 0037457067 scopus 로고    scopus 로고
    • Spectral density of an oscillator with power law damping excited by white noise
    • Rudinger, F., and Krenk, S., 2003, "Spectral Density of an Oscillator With Power Law Damping Excited by White Noise," J. Sound Vib., 261, pp. 365-371.
    • (2003) J. Sound Vib. , vol.261 , pp. 365-371
    • Rudinger, F.1    Krenk, S.2
  • 127
    • 0002239837 scopus 로고
    • On the response of nonlinear oscillators to stochastic excitation
    • Caughey, T. K., 1986, "On the Response of Nonlinear Oscillators to Stochastic Excitation," Probab. Eng. Mech., 1, pp. 2-4.
    • (1986) Probab. Eng. Mech. , vol.1 , pp. 2-4
    • Caughey, T.K.1
  • 128
    • 10844262910 scopus 로고
    • A practical technique for spectral analysis of nonlinear systems under stochastic parametric and external excitations
    • Chang, R. J., 1991, "A Practical Technique for Spectral Analysis of Nonlinear Systems Under Stochastic Parametric and External Excitations," ASME J. Vibr. Acoust., 113, pp. 516-522.
    • (1991) ASME J. Vibr. Acoust. , vol.113 , pp. 516-522
    • Chang, R.J.1
  • 129
    • 0023246785 scopus 로고
    • Prediction of the response of nonlinear oscillators under stochastic parametric and external excitations
    • Young, G. E., and Chang, R. J., 1987, "Prediction of the Response of Nonlinear Oscillators Under Stochastic Parametric and External Excitations," Int. J. Non-Linear Mech., 22, pp. 151-160.
    • (1987) Int. J. Non-Linear Mech. , vol.22 , pp. 151-160
    • Young, G.E.1    Chang, R.J.2
  • 130
    • 0026840008 scopus 로고
    • Non-gaussian linearization method for stochastic parametrically and externally excited nonlinear systems
    • Chang, R. J., 1992, "Non-Gaussian Linearization Method for Stochastic Parametrically and Externally Excited Nonlinear Systems," ASME J. Dyn. Syst., Meas., Control, 114, pp. 20-26.
    • (1992) ASME J. Dyn. Syst., Meas., Control , vol.114 , pp. 20-26
    • Chang, R.J.1
  • 131
    • 31944440662 scopus 로고    scopus 로고
    • An iterative statistical linearization technique for MDOF systems
    • L. Pust and F. Peterka, eds., Prague, September 9-13
    • Sobiechowski, C., and Sperling, L., 1996, "An Iterative Statistical Linearization Technique for MDOF Systems," EUROMECH-2nd European Nonlinear Oscillation Conference, L. Pust and F. Peterka, eds., Prague, September 9-13, pp. 419-422.
    • (1996) EUROMECH-2nd European Nonlinear Oscillation Conference , pp. 419-422
    • Sobiechowski, C.1    Sperling, L.2
  • 132
    • 0022735987 scopus 로고
    • Approximate analysis of nonlinear stochastic differential equations using certain generalized quasi-moment functions
    • Sperling, L., 1986, "Approximate Analysis of Nonlinear Stochastic Differential Equations Using Certain Generalized Quasi-Moment Functions," Acta Mech., 59, pp. 183-200.
    • (1986) Acta Mech. , vol.59 , pp. 183-200
    • Sperling, L.1
  • 133
    • 10844276753 scopus 로고
    • Stochastic linearization for the response of MDOF systems subjected to external and parametric gaussian excitations
    • P. D. Spanos and C. A. Brebbia, eds., Computational Mechanics Publication and Elsevier Applied Science, London
    • Falsone, G., 1991, "Stochastic Linearization for the Response of MDOF Systems Subjected to External and Parametric Gaussian Excitations," Computational Stochastic Mechanics, P. D. Spanos and C. A. Brebbia, eds., Computational Mechanics Publication and Elsevier Applied Science, London, pp. 303-314.
    • (1991) Computational Stochastic Mechanics , pp. 303-314
    • Falsone, G.1
  • 134
    • 0026943531 scopus 로고
    • Stochastic linearization for the response of MDOF systems under parametric gaussian excitations
    • Falsone, G., 1992, "Stochastic Linearization for the Response of MDOF Systems Under Parametric Gaussian Excitations," Int. J. Non-Linear Mech., 27, pp. 1025-1037.
    • (1992) Int. J. Non-linear Mech. , vol.27 , pp. 1025-1037
    • Falsone, G.1
  • 135
    • 0001546506 scopus 로고
    • Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: Prediction and identification procedures
    • Soize, C., 1995, "Stochastic Linearization Method With Random Parameters for SDOF Nonlinear Dynamical Systems: Prediction and Identification Procedures," Probab. Eng. Mech., 10, pp. 143-152.
    • (1995) Probab. Eng. Mech. , vol.10 , pp. 143-152
    • Soize, C.1
  • 136
    • 0030786207 scopus 로고    scopus 로고
    • Modal identification of weakly nonlinear multidimensional dynamical systems using stochastic linearization method with random coefficients
    • Soize, C., and Le Fur, O., 1997, "Modal Identification of Weakly Nonlinear Multidimensional Dynamical Systems Using Stochastic Linearization Method With Random Coefficients," Mech. Syst. Signal Process., 11, pp. 37-49.
    • (1997) Mech. Syst. Signal Process. , vol.11 , pp. 37-49
    • Soize, C.1    Le Fur, O.2
  • 137
    • 36749044616 scopus 로고    scopus 로고
    • Spectral properties of a nonlinear self-excited system with random perturbations of the parameters
    • Naprstek, J., and Fischer, O., 1997, "Spectral Properties of a Nonlinear Self-Excited System With Random Perturbations of the Parameters," Z. Angew. Math. Mech., 77, S1, pp. 241-242.
    • (1997) Z. Angew. Math. Mech. , vol.77 , Issue.S1 , pp. 241-242
    • Naprstek, J.1    Fischer, O.2
  • 138
    • 0022598544 scopus 로고
    • Vibration of a nonlinear single degree of freedom system due to poissonian impulse excitation
    • Tylikowski, A., and Marowski, W., 1986, "Vibration of a Nonlinear Single Degree of Freedom System Due to Poissonian Impulse Excitation," Int. J. Non-Linear Mech., 21, pp. 229-238.
    • (1986) Int. J. Non-linear Mech. , vol.21 , pp. 229-238
    • Tylikowski, A.1    Marowski, W.2
  • 140
    • 0012031908 scopus 로고
    • Linear and nonlinear systems with non-gaussian white noise input
    • Grigoriu, M., 1995, "Linear and Nonlinear Systems With Non-Gaussian White Noise Input," Probab. Eng. Mech., 10, pp. 171-180.
    • (1995) Probab. Eng. Mech. , vol.10 , pp. 171-180
    • Grigoriu, M.1
  • 141
    • 0029185244 scopus 로고
    • Equivalent linearization for poisson white noise input
    • Grigoriu, M., 1995, "Equivalent Linearization for Poisson White Noise Input," Probab. Eng. Mech., 10, pp. 45-51.
    • (1995) Probab. Eng. Mech. , vol.10 , pp. 45-51
    • Grigoriu, M.1
  • 142
    • 0033903122 scopus 로고    scopus 로고
    • Equivalent linearization for systems driven by levy white noise
    • Grigoriu, M., 2000, "Equivalent Linearization for Systems Driven by Levy White Noise," Probab. Eng. Mech., 15, pp. 185-190.
    • (2000) Probab. Eng. Mech. , vol.15 , pp. 185-190
    • Grigoriu, M.1
  • 143
    • 2942564525 scopus 로고    scopus 로고
    • Statistical linearization of the duffing oscillator under non-gaussian external excitation
    • P. D. Spanos, ed., Balkema, Rotterdam
    • Sobiechowski, C., and Socha, L., 1998, "Statistical Linearization of the Duffing Oscillator Under Non-Gaussian External Excitation," Proc. of Int. Conference on Computational Stochastic Mechanics, P. D. Spanos, ed., Balkema, Rotterdam, pp. 125-133.
    • (1998) Proc. of Int. Conference on Computational Stochastic Mechanics , pp. 125-133
    • Sobiechowski, C.1    Socha, L.2
  • 144
    • 0033743556 scopus 로고    scopus 로고
    • Statistical linearization of the duffing oscillator under non-gaussian external excitation
    • Sobiechowski, C., and Socha, L., 2000, "Statistical Linearization of the Duffing Oscillator Under Non-Gaussian External Excitation," J. Sound Vib., 231, pp. 19-35.
    • (2000) J. Sound Vib. , vol.231 , pp. 19-35
    • Sobiechowski, C.1    Socha, L.2
  • 145
    • 0016940218 scopus 로고
    • Stochastic linearization of multi-degree-of-freedom nonlinear systems
    • Atalik, T. S., and Utku, S., 1976, "Stochastic Linearization of Multi-Degree-of-Freedom Nonlinear Systems," Earthquake Eng. Struct. Dyn., 4, pp. 411-420.
    • (1976) Earthquake Eng. Struct. Dyn. , vol.4 , pp. 411-420
    • Atalik, T.S.1    Utku, S.2
  • 146
    • 0024128594 scopus 로고
    • Response of linear systems to polynomials of gaussian process
    • Grigoriu, M., and Ariaratnam, S., 1988, "Response of Linear Systems to Polynomials of Gaussian Process," ASME J. Appl. Mech., 55, pp. 905-910.
    • (1988) ASME J. Appl. Mech. , vol.55 , pp. 905-910
    • Grigoriu, M.1    Ariaratnam, S.2
  • 147
    • 0003122582 scopus 로고
    • An algorithm for moments of response from non-normal excitation of linear systems
    • S. T. Ariaratnam, G. I. Schueller and I. Elishakoff, eds., Elsevier, London
    • Krenk, S., and Gluver, H., 1988, "An Algorithm for Moments of Response From Non-Normal Excitation of Linear Systems," Stochastic Structural Dynamics, S. T. Ariaratnam, G. I. Schueller and I. Elishakoff, eds., Elsevier, London, pp. 181-195.
    • (1988) Stochastic Structural Dynamics , pp. 181-195
    • Krenk, S.1    Gluver, H.2
  • 148
    • 0029196456 scopus 로고
    • Linear systems excited by polynomial forms of non-gaussian filtered process
    • Muscolino, G., 1995, "Linear Systems Excited by Polynomial Forms of Non-Gaussian Filtered Process," Probab. Eng. Mech., 10, pp. 35-44.
    • (1995) Probab. Eng. Mech. , vol.10 , pp. 35-44
    • Muscolino, G.1
  • 149
    • 0027811806 scopus 로고
    • A new model for non-Gaussian random excitations
    • Iyengar, R. N., and Jaiswal, O. R., 1993, "A New Model for non-Gaussian Random Excitations," Probab. Eng. Mech., 8, pp. 281-287.
    • (1993) Probab. Eng. Mech. , vol.8 , pp. 281-287
    • Iyengar, R.N.1    Jaiswal, O.R.2
  • 150
    • 0036817079 scopus 로고    scopus 로고
    • Equivalent linearization of MDOF systems under external poisson white noise excitation
    • Proppe, C., 2002, "Equivalent Linearization of MDOF Systems Under External Poisson White Noise Excitation," Probab. Eng. Mech., 17, pp. 393-399.
    • (2002) Probab. Eng. Mech. , vol.17 , pp. 393-399
    • Proppe, C.1
  • 151
    • 0037408865 scopus 로고    scopus 로고
    • Stochastic linearization of dynamical systems under parametric poisson white noise excitation
    • Proppe, C., 2003, "Stochastic Linearization of Dynamical Systems Under Parametric Poisson White Noise Excitation," Int. J. Non-Linear Mech., 38, pp. 543-555.
    • (2003) Int. J. Non-linear Mech. , vol.38 , pp. 543-555
    • Proppe, C.1
  • 152
    • 31944441449 scopus 로고    scopus 로고
    • Dynamic behavior of duffing oscillators under a disordered periodic excitation
    • B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam
    • Hou, Z., Noori, M. N., Wang, Y., and Duval, L., 1999, "Dynamic Behavior of Duffing Oscillators Under a Disordered Periodic Excitation," Stochastic Structural Dynamics, B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam, pp. 93-98.
    • (1999) Stochastic Structural Dynamics , pp. 93-98
    • Hou, Z.1    Noori, M.N.2    Wang, Y.3    Duval, L.4
  • 153
    • 36749036450 scopus 로고    scopus 로고
    • Statistical linearization of dynamical systems under parametric delta-correlated excitation
    • Sobiechowski, C., 1999, "Statistical Linearization of Dynamical Systems Under Parametric Delta-Correlated Excitation," Z. Angew. Math. Mech., 79, S2, pp. 315-316.
    • (1999) Z. Angew. Math. Mech. , vol.79 , Issue.S2 , pp. 315-316
    • Sobiechowski, C.1
  • 154
    • 31944446566 scopus 로고
    • A new stochastic linearization approach
    • P. D. Spanos, ed., A. A. Balkema, Rotterdam
    • Falsone, G., and Pirrotta, A., 1995, "A New Stochastic Linearization Approach," Computational Stochastic Mechanics, P. D. Spanos, ed., A. A. Balkema, Rotterdam, pp. 105-112.
    • (1995) Computational Stochastic Mechanics , pp. 105-112
    • Falsone, G.1    Pirrotta, A.2
  • 155
    • 0027553396 scopus 로고
    • Stochastic dynamics of nonlinear systems driven by non-normal delta-correlated processes
    • Di Paola, M., and Falsone, G., 1993, "Stochastic Dynamics of Nonlinear Systems Driven by Non-Normal Delta-Correlated Processes," ASME J. Appl. Mech., 60, pp. 141-148.
    • (1993) ASME J. Appl. Mech. , vol.60 , pp. 141-148
    • Di Paola, M.1    Falsone, G.2
  • 156
    • 0020764837 scopus 로고
    • Equivalent linearization for continuous dynamical systems
    • Iwan, W. D., and Krousgrill, R. G., 1983, "Equivalent Linearization for Continuous Dynamical Systems," ASME J. Appl. Mech., 50, pp. 415-420.
    • (1983) ASME J. Appl. Mech. , vol.50 , pp. 415-420
    • Iwan, W.D.1    Krousgrill, R.G.2
  • 157
    • 0027884587 scopus 로고
    • Nonstationary equivalent linearization of nonlinear continuous systems
    • Iwan, W. D., and Whirley, R. G., 1993, "Nonstationary Equivalent Linearization of Nonlinear Continuous Systems," Probab. Eng. Mech., 8, pp. 273-280.
    • (1993) Probab. Eng. Mech. , vol.8 , pp. 273-280
    • Iwan, W.D.1    Whirley, R.G.2
  • 158
    • 0042974761 scopus 로고    scopus 로고
    • Effect of system nonlinearities obtained by statistical linearization methods
    • L. Pust and F. Peterda, eds., Prague
    • Sireteanu, T., 1996, "Effect of System Nonlinearities Obtained by Statistical Linearization Methods," EUROMECH-2nd European Nonlinear Oscillation Conference, L. Pust and F. Peterda, eds., Prague, pp. 415-417.
    • (1996) EUROMECH-2nd European Nonlinear Oscillation Conference , pp. 415-417
    • Sireteanu, T.1
  • 159
    • 0026257711 scopus 로고
    • Statistical linearization for multi-input/multi-output nonlinearities
    • Lin, V. H. L., and Cheng, V. H. L., 1991, "Statistical Linearization for Multi-Input/Multi-Output Nonlinearities," J. Guid. Control, 14, pp. 1315-1318.
    • (1991) J. Guid. Control , vol.14 , pp. 1315-1318
    • Lin, V.H.L.1    Cheng, V.H.L.2
  • 160
    • 0000970314 scopus 로고    scopus 로고
    • Phase space reduction in stochastic dynamics
    • Vasta, M., and Schueller, G. I., 2000, "Phase Space Reduction in Stochastic Dynamics," J. Eng. Mech., 126, pp. 626-632.
    • (2000) J. Eng. Mech. , vol.126 , pp. 626-632
    • Vasta, M.1    Schueller, G.I.2
  • 161
    • 0036131751 scopus 로고    scopus 로고
    • Nonstationary response of nonlinear systems using equivalent linearization with a compact analytical form of the excitation process
    • Smyth, A. W., and Masri, S. F., 2002, "Nonstationary Response of Nonlinear Systems Using Equivalent Linearization With a Compact Analytical Form of the Excitation Process," Probab. Eng. Mech., 17, pp. 97-108.
    • (2002) Probab. Eng. Mech. , vol.17 , pp. 97-108
    • Smyth, A.W.1    Masri, S.F.2
  • 162
    • 0036602277 scopus 로고    scopus 로고
    • Semi-implicit integration algorithm for stochastic analysis of multi-degree-of-freedom structures
    • Ohtori, T., and Spencer, B. F., 2002, "Semi-Implicit Integration Algorithm for Stochastic Analysis of Multi-Degree-of-Freedom Structures," J. Eng. Mech., 128, pp. 635-643.
    • (2002) J. Eng. Mech. , vol.128 , pp. 635-643
    • Ohtori, T.1    Spencer, B.F.2
  • 163
    • 84904240298 scopus 로고    scopus 로고
    • Using Informational measures of dependence in statistical linearization
    • Chernyshev, K. R., 2002, "Using Informational Measures of Dependence in Statistical Linearization," Autom. Remote Control (Engl. Transl.), 63, pp. 1439-1447.
    • (2002) Autom. Remote Control (Engl. Transl.) , vol.63 , pp. 1439-1447
    • Chernyshev, K.R.1
  • 164
    • 0026204068 scopus 로고
    • Statistically equivalent solutions of stochastic mechanics problems
    • Grigoriu, M., 1991, "Statistically Equivalent Solutions of Stochastic Mechanics Problems," J. Eng. Mech., 117, pp. 1906-1918.
    • (1991) J. Eng. Mech. , vol.117 , pp. 1906-1918
    • Grigoriu, M.1
  • 165
    • 31944443889 scopus 로고    scopus 로고
    • Poli-criterial equivalent linearization technique
    • Socha, L., 1999, "Poli-Criterial Equivalent Linearization Technique," Z. Angew. Math. Mech., 78(SII), pp. 317-318.
    • (1999) Z. Angew. Math. Mech. , vol.78 , Issue.SII , pp. 317-318
    • Socha, L.1
  • 166
    • 0033752497 scopus 로고    scopus 로고
    • Calibration of the equivalent linearization gaussian approach applied to simple for hysteretic systems subjected to narrow band seismic motions
    • Silva, F. L., and Ruiz, S. E., 2000, "Calibration of the Equivalent Linearization Gaussian Approach Applied to Simple for Hysteretic Systems Subjected to Narrow Band Seismic Motions," Struct. Safety, 22, pp. 211-231.
    • (2000) Struct. Safety , vol.22 , pp. 211-231
    • Silva, F.L.1    Ruiz, S.E.2
  • 167
    • 0030157341 scopus 로고    scopus 로고
    • Equivalent linearization of generally pinching hysteretic, degrading systems
    • Foliente, G. C., Singh, M. P., and Noori, M. N., 1996, "Equivalent Linearization of Generally Pinching Hysteretic, Degrading Systems," Earthquake Eng. Struct. Dyn., 25, pp. 611-629.
    • (1996) Earthquake Eng. Struct. Dyn. , vol.25 , pp. 611-629
    • Foliente, G.C.1    Singh, M.P.2    Noori, M.N.3
  • 168
    • 0032115008 scopus 로고    scopus 로고
    • Direct implementation of stochastic linearization for SDOF systems with general hysteresis
    • Dobson, S., Noori, M., Hou, Z., and Dimentberg, M., 1998, "Direct Implementation of Stochastic Linearization for SDOF Systems with General Hysteresis," Struct. Engrg. Mech., 6, pp. 473-484.
    • (1998) Struct. Engrg. Mech. , vol.6 , pp. 473-484
    • Dobson, S.1    Noori, M.2    Hou, Z.3    Dimentberg, M.4
  • 169
    • 7544244437 scopus 로고    scopus 로고
    • Response of SMA superelastic systems under random excitation
    • Yan, X., and Nie, J., 2000, "Response of SMA Superelastic Systems Under Random Excitation," J. Sound Vib., 238, pp. 893-901.
    • (2000) J. Sound Vib. , vol.238 , pp. 893-901
    • Yan, X.1    Nie, J.2
  • 170
    • 0028337979 scopus 로고
    • Non-gaussian equivalent linearization for non-stationary random vibration of hysteretic Systems
    • Kimura, K., Yasumuro, H., and Sakata, M., 1994, "Non-Gaussian Equivalent Linearization for Non-Stationary Random Vibration of Hysteretic Systems," Probab. Eng. Mech., 9, pp. 15-22.
    • (1994) Probab. Eng. Mech. , vol.9 , pp. 15-22
    • Kimura, K.1    Yasumuro, H.2    Sakata, M.3
  • 171
    • 0036131517 scopus 로고    scopus 로고
    • Critical excitation for elastic-plastic structures via statistical equivalent linearization
    • Takewaki, I., 2002, "Critical Excitation for Elastic-Plastic Structures Via Statistical Equivalent Linearization," Probab. Eng. Mech., 17, pp. 73-84.
    • (2002) Probab. Eng. Mech. , vol.17 , pp. 73-84
    • Takewaki, I.1
  • 172
    • 0029713543 scopus 로고    scopus 로고
    • Improved stochastic linearization method using mixed distributions
    • Hurtado, J. E., and Barbat, A. H., 1996, "Improved Stochastic Linearization Method Using Mixed Distributions," Struct. Safety, 18, pp. 49-62.
    • (1996) Struct. Safety , vol.18 , pp. 49-62
    • Hurtado, J.E.1    Barbat, A.H.2
  • 173
    • 0033750234 scopus 로고    scopus 로고
    • Equivalent linearization of the bouc-wen hysteretic model
    • Hurtado, J. E., and Barbat, A. H., 2000, "Equivalent Linearization of the Bouc-Wen Hysteretic Model," Eng. Struct., 22, pp. 1121-1132.
    • (2000) Eng. Struct. , vol.22 , pp. 1121-1132
    • Hurtado, J.E.1    Barbat, A.H.2
  • 174
    • 0035313621 scopus 로고    scopus 로고
    • Deterministic and stochastic analyses of nonlinear system with a biot visco-elastic elements
    • Spanos, P. D., and Tsavachidis, S., 2001, "Deterministic and Stochastic Analyses of Nonlinear System With a Biot Visco-Elastic Elements," Earthquake Eng. Struct. Dyn., 30, pp. 595-612.
    • (2001) Earthquake Eng. Struct. Dyn. , vol.30 , pp. 595-612
    • Spanos, P.D.1    Tsavachidis, S.2
  • 175
    • 0036885430 scopus 로고    scopus 로고
    • Random response of integrable duhem hysteretic systems under non-white excitation
    • Ni, Y. Q., Ying, Z. G., and Zhu W. Q., 2002, "Random Response of Integrable Duhem Hysteretic Systems Under Non-White Excitation," Int. J. Non-Linear Mech., 37, pp. 1407-1419.
    • (2002) Int. J. Non-Linear Mech. , vol.37 , pp. 1407-1419
    • Ni, Y.Q.1    Ying, Z.G.2    Zhu, W.Q.3
  • 176
    • 0036885424 scopus 로고    scopus 로고
    • Drifting response of hysteretic oscillators to stochastic excitation
    • Bouc, R., and Boussaa, D., 2002, "Drifting Response of Hysteretic Oscillators to Stochastic Excitation," Int. J. Non-Linear Mech., 37, pp. 1397-1406.
    • (2002) Int. J. Non-Linear Mech. , vol.37 , pp. 1397-1406
    • Bouc, R.1    Boussaa, D.2
  • 177
    • 1342327913 scopus 로고    scopus 로고
    • Response analysis of randomly excited nonlinear systems with symmetric weighting preisach hysteresis
    • Ying, Z. G., 2003, "Response Analysis of Randomly Excited Nonlinear Systems With Symmetric Weighting Preisach Hysteresis," Acta Mech. Sin., 19, pp. 365-370.
    • (2003) Acta Mech. Sin. , vol.19 , pp. 365-370
    • Ying, Z.G.1
  • 178
    • 0000422208 scopus 로고
    • On the computations of the stochastic response of highly nonlinear large MDOF-systems modeled by finite elements
    • Pradlwarter, H. J., and Li, W., 1991, "On the Computations of the Stochastic Response of Highly Nonlinear Large MDOF-Systems Modeled by Finite Elements," Probab. Eng. Mech., 6, pp. 109-116.
    • (1991) Probab. Eng. Mech. , vol.6 , pp. 109-116
    • Pradlwarter, H.J.1    Li, W.2
  • 179
    • 0028549316 scopus 로고
    • Finite-element nonlinear random response of beams
    • Locke, J. E., 1994, "Finite-Element Nonlinear Random Response of Beams," J. Sound Vib., 178, pp. 201-210.
    • (1994) J. Sound Vib. , vol.178 , pp. 201-210
    • Locke, J.E.1
  • 180
    • 0037911618 scopus 로고    scopus 로고
    • Determination of nonlinear stiffness with application to random vibration of geometrically nonlinear structures
    • Muravyov, A. A., and Rizzi, S. A., 2003, "Determination of Nonlinear Stiffness With Application to Random Vibration of Geometrically Nonlinear Structures," Comput. Struct., 15, pp. 1513-1523.
    • (2003) Comput. Struct. , vol.15 , pp. 1513-1523
    • Muravyov, A.A.1    Rizzi, S.A.2
  • 181
    • 0030570966 scopus 로고    scopus 로고
    • Comparison of finite element nonlinear beam random response with experimental results
    • Chen, R. P., Mei, C., and Wolfe, H. F., 1996, "Comparison of Finite Element Nonlinear Beam Random Response With Experimental Results," J. Sound Vib., 195, pp. 719-737.
    • (1996) J. Sound Vib. , vol.195 , pp. 719-737
    • Chen, R.P.1    Mei, C.2    Wolfe, H.F.3
  • 182
    • 0037349137 scopus 로고    scopus 로고
    • Nonlinear random response of internally hinged beams
    • Cheng, G. F., Lee, Y. Y., and Mei, C., 2003, "Nonlinear Random Response of Internally Hinged Beams," Finite Elem. Anal. Design, 39, pp. 487-504.
    • (2003) Finite Elem. Anal. Design , vol.39 , pp. 487-504
    • Cheng, G.F.1    Lee, Y.Y.2    Mei, C.3
  • 183
    • 0001332655 scopus 로고    scopus 로고
    • On the stochastic response of nonlinear FE models
    • Schueller, G. I., and Pradlwarter, H. J., 1999, "On the Stochastic Response of Nonlinear FE Models," Arch. Appl. Mech., 69, pp. 765-784.
    • (1999) Arch. Appl. Mech. , vol.69 , pp. 765-784
    • Schueller, G.I.1    Pradlwarter, H.J.2
  • 184
    • 2142832633 scopus 로고    scopus 로고
    • On the computational implementation of EQL in FE-analysis
    • B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam
    • Emam, H. H., Pradlwarter, H. J., and Schueller, G. I., 1999, "On the Computational Implementation of EQL in FE-Analysis," Stochastic Structural Dynamics, B. F. Spencer and E. A. Johnson, eds., Balkema, Rotterdam, pp. 85-91.
    • (1999) Stochastic Structural Dynamics , pp. 85-91
    • Emam, H.H.1    Pradlwarter, H.J.2    Schueller, G.I.3
  • 185
    • 0034001670 scopus 로고    scopus 로고
    • A computational procedure for implementation of equivalent linearization in finite element analysis
    • Emam, H. H., Pradlwarter, H. J., and Schueller, G. I., 2000, "A Computational Procedure for Implementation of Equivalent Linearization in Finite Element Analysis," Earthquake Eng. Struct. Dyn., 29, pp. 1-17.
    • (2000) Earthquake Eng. Struct. Dyn. , vol.29 , pp. 1-17
    • Emam, H.H.1    Pradlwarter, H.J.2    Schueller, G.I.3
  • 186
    • 0037436147 scopus 로고    scopus 로고
    • A computational procedure to estimate the stochastic dynamic response of large nonlinear FE-models
    • Pradlwarter, H. J., Schueller, G. I., and Schenk, C. A., 2003, "A Computational Procedure to Estimate the Stochastic Dynamic Response of Large Nonlinear FE-Models," Comput. Methods Appl. Mech. Eng., 192, pp. 777-801.
    • (2003) Comput. Methods Appl. Mech. Eng. , vol.192 , pp. 777-801
    • Pradlwarter, H.J.1    Schueller, G.I.2    Schenk, C.A.3
  • 187
    • 0036647883 scopus 로고    scopus 로고
    • Deterministic integration algorithms for stochastic response computations of FE systems
    • Pradlwarter, H. J., 2002, "Deterministic Integration Algorithms for Stochastic Response Computations of FE Systems," Comput. Struct., 80, pp. 1489-1502.
    • (2002) Comput. Struct. , vol.80 , pp. 1489-1502
    • Pradlwarter, H.J.1
  • 188
    • 0000888553 scopus 로고
    • The stochastic central difference method in structural dynamics
    • To, C. W. S., 1986, "The Stochastic Central Difference Method in Structural Dynamics," Comput. Struct., 23, pp. 813-818.
    • (1986) Comput. Struct. , vol.23 , pp. 813-818
    • To, C.W.S.1
  • 189
    • 0023843770 scopus 로고
    • Recursive expression for random response of nonlinear systems
    • To, C. W. S., 1988, "Recursive Expression for Random Response of Nonlinear Systems," Comput. Struct., 29, pp. 451-457.
    • (1988) Comput. Struct. , vol.29 , pp. 451-457
    • To, C.W.S.1
  • 190
    • 0027659509 scopus 로고
    • Recursive expression for time dependent means and mean square responses of a multi-degree-of-freedom nonlinear systems
    • To, C. W. S., and Liu, M. L., 1993, "Recursive Expression for Time Dependent Means and Mean Square Responses of a Multi-Degree-of-Freedom Nonlinear Systems," Comput. Struct., 48, pp. 993-1000.
    • (1993) Comput. Struct. , vol.48 , pp. 993-1000
    • To, C.W.S.1    Liu, M.L.2
  • 191
    • 0002297919 scopus 로고
    • A computational approach to optimal control of stochastic saturating systems
    • Wonham, W. M., and Cashman, W. F., 1969, "A Computational Approach to Optimal Control of Stochastic Saturating Systems," Int. J. Control, 10, pp. 77-98.
    • (1969) Int. J. Control , vol.10 , pp. 77-98
    • Wonham, W.M.1    Cashman, W.F.2
  • 193
    • 0021374250 scopus 로고
    • Nonlinear quadratic gaussian control
    • Beaman, J. J., 1984, "Nonlinear Quadratic Gaussian Control," Int. J. Control, 39, pp. 343-361.
    • (1984) Int. J. Control , vol.39 , pp. 343-361
    • Beaman, J.J.1
  • 194
    • 31944445394 scopus 로고
    • Analytical synthesis of a quasi-optimal additive control in a nonlinear stochastic system
    • Kazakov, I. E., 1984, "Analytical Synthesis of a Quasi-Optimal Additive Control in a Nonlinear Stochastic System," Avtom. Telemekh., 45, pp. 34-46.
    • (1984) Avtom. Telemekh. , vol.45 , pp. 34-46
    • Kazakov, I.E.1
  • 195
    • 0021375597 scopus 로고
    • A method of optimal control of nonlinear stochastic systems with non-quadratic criteria
    • Yoshida, K., 1984, "A Method of Optimal Control of Nonlinear Stochastic Systems With Non-Quadratic Criteria," Int. I. Control, 39, pp. 279-291.
    • (1984) Int. I. Control , vol.39 , pp. 279-291
    • Yoshida, K.1
  • 197
    • 0034259877 scopus 로고    scopus 로고
    • Optimization of disturbance rejection in systems with saturating actuators
    • Gokcek, C., Kabamba, P. T., and Meerkov, S. M., 2000, "Optimization of Disturbance Rejection in Systems With Saturating Actuators," J. Math. Anal. Appl., 249, pp. 135-159.
    • (2000) J. Math. Anal. Appl. , vol.249 , pp. 135-159
    • Gokcek, C.1    Kabamba, P.T.2    Meerkov, S.M.3
  • 198
    • 0035471192 scopus 로고    scopus 로고
    • An LQR/ LQG theory for systems with saturating actuators
    • Gokcek, C., Kabamba, P. T., and Meerkov, S. M., 2001, "An LQR/ LQG Theory for Systems With Saturating Actuators," IEEE Trans. Autom. Control, 46, pp. 1529-1542.
    • (2001) IEEE Trans. Autom. Control , vol.46 , pp. 1529-1542
    • Gokcek, C.1    Kabamba, P.T.2    Meerkov, S.M.3
  • 199
    • 0037375106 scopus 로고    scopus 로고
    • Nonlinear quadratic gaussian control with loop transfer recovery
    • Han, S. I., and Kim, J. S., 2003, "Nonlinear Quadratic Gaussian Control With Loop Transfer Recovery," Mechatronics, 13, pp. 273-293.
    • (2003) Mechatronics , vol.13 , pp. 273-293
    • Han, S.I.1    Kim, J.S.2
  • 200
    • 0028132456 scopus 로고
    • Gaussian approximation when optimizing a control in a stochastic nonlinear system
    • Kazakov, I. E., 1994, "Gaussian Approximation When Optimizing a Control in a Stochastic Nonlinear System," J. Comp. Systems Sci. Int., 32, pp. 118-122.
    • (1994) J. Comp. Systems Sci. Int. , vol.32 , pp. 118-122
    • Kazakov, I.E.1
  • 201
    • 0009432569 scopus 로고
    • Optimization of control in a nonlinear stochastic system by a local criterion
    • Kazakov, I. E., 1995, "Optimization of Control in a Nonlinear Stochastic System by a Local Criterion," J. Comp. Systems Sci. Int., 35, pp. 940-947.
    • (1995) J. Comp. Systems Sci. Int. , vol.35 , pp. 940-947
    • Kazakov, I.E.1
  • 202
    • 0029259707 scopus 로고    scopus 로고
    • Analytical construction of a conditionally optimal control in a nonlinear stochastic system by a complex local functional
    • Kazakov, I. E., and Proppe, C., "Analytical Construction of a Conditionally Optimal Control in a Nonlinear Stochastic System by a Complex Local Functional," Avtom. Telemekh., 56, pp. 34-46.
    • Avtom. Telemekh. , vol.56 , pp. 34-46
    • Kazakov, I.E.1    Proppe, C.2
  • 203
    • 0028195214 scopus 로고
    • Stochastic hybrid control of hysteretic structures
    • Yang, J. N., Li, Z., and Vongchavalitkul, S., 1994, "Stochastic Hybrid Control of Hysteretic Structures," Probab. Eng. Mech., 9, pp. 125-133.
    • (1994) Probab. Eng. Mech. , vol.9 , pp. 125-133
    • Yang, J.N.1    Li, Z.2    Vongchavalitkul, S.3
  • 204
    • 0029280303 scopus 로고
    • Stochastic control of hysteretic structural systems
    • Suzuki, Y., 1995, "Stochastic Control of Hysteretic Structural Systems," Sadhana: Proc., Indian Acad. Sci., 20, pp. 475-488.
    • (1995) Sadhana: Proc., Indian Acad. Sci. , vol.20 , pp. 475-488
    • Suzuki, Y.1
  • 205
    • 51249164759 scopus 로고
    • Active control of nonstationary response of a 2-degree of freedom vehicle model with nonlinear suspension
    • Raju, G. V., and Narayanan, S., 1995, "Active Control of Nonstationary Response of a 2-Degree of Freedom Vehicle Model With Nonlinear Suspension," Sadhana: Proc., Indian Acad. Sci., 20, pp. 489-499.
    • (1995) Sadhana: Proc., Indian Acad. Sci. , vol.20 , pp. 489-499
    • Raju, G.V.1    Narayanan, S.2
  • 206
    • 0038936520 scopus 로고    scopus 로고
    • Stochastic optimal active control of a 2-dof quarter car model with nonlinear passive suspension elements
    • Narayanan, S., and Senthil, S., 1998, "Stochastic Optimal Active Control of a 2-DOF Quarter Car Model With Nonlinear Passive Suspension Elements," J. Sound Vib., 211, pp. 495-506.
    • (1998) J. Sound Vib. , vol.211 , pp. 495-506
    • Narayanan, S.1    Senthil, S.2
  • 207
    • 23944508308 scopus 로고    scopus 로고
    • Application of statistical linearization techniques to design of quasi-optimal active control of nonlinear systems
    • Socha, L., 2000, "Application of Statistical Linearization Techniques to Design of Quasi-Optimal Active Control of Nonlinear Systems," J. Theor. Appl. Mech., 38, pp. 591-605.
    • (2000) J. Theor. Appl. Mech. , vol.38 , pp. 591-605
    • Socha, L.1
  • 208
    • 2942541831 scopus 로고    scopus 로고
    • Control of the duffing oscillator under non-gaussian external excitation
    • Socha, L., and Proppe, C., 2002, "Control of the Duffing Oscillator Under Non-Gaussian External Excitation," Eur. J. Mech. A/Solids, 6, pp. 1069-1082.
    • (2002) Eur. J. Mech. A/Solids , vol.6 , pp. 1069-1082
    • Socha, L.1    Proppe, C.2
  • 209
    • 0027559320 scopus 로고
    • Improved stability analysis of the response of a duffing oscillator under filtered white noise
    • Koliopulos, P. K., and Langley, R. S., 1993, "Improved Stability Analysis of the Response of a Duffing Oscillator Under Filtered White Noise," Int. J. Non-Linear Mech., 28, pp. 145-155.
    • (1993) Int. J. Non-linear Mech. , vol.28 , pp. 145-155
    • Koliopulos, P.K.1    Langley, R.S.2
  • 210
    • 38249012036 scopus 로고
    • Sensitivity and linearization techniques in analysis of nonlinear stochastic systems
    • Socha, L., and Soong, T. T., 1992, "Sensitivity and Linearization Techniques in Analysis of Nonlinear Stochastic Systems," J. Sound Vib., 156, pp. 79-97.
    • (1992) J. Sound Vib. , vol.156 , pp. 79-97
    • Socha, L.1    Soong, T.T.2
  • 211
    • 0013082134 scopus 로고    scopus 로고
    • Equivalent linearization revisited
    • J. M. Ko and Y. L. Xu, eds. Hong Kong, Dec. 13-15, Elsevier, New York
    • Proppe, C., and Schueller, G. I., 2000, "Equivalent Linearization Revisited," Proc. of Int. Conference on Advances in Structural Dynamics, J. M. Ko and Y. L. Xu, eds. Hong Kong, Dec. 13-15, Elsevier, New York, pp. 1207-1214.
    • (2000) Proc. of Int. Conference on Advances in Structural Dynamics , pp. 1207-1214
    • Proppe, C.1    Schueller, G.I.2
  • 212
    • 31944432936 scopus 로고
    • The sensitivity analysis of stochastic hysteretic dynamic systems
    • P. D. Spanos and C. A. Brebbia, eds., Computational Mechanics Publication and Elsevier Applied Science, London
    • Socha, L., and Zasucha, G., 1991, "The Sensitivity Analysis of Stochastic Hysteretic Dynamic Systems," Computational Stochastic Mechanics, P. D. Spanos and C. A. Brebbia, eds., Computational Mechanics Publication and Elsevier Applied Science, London, pp. 71-79.
    • (1991) Computational Stochastic Mechanics , pp. 71-79
    • Socha, L.1    Zasucha, G.2
  • 213
    • 38149144031 scopus 로고
    • Stochastic sensitivity analysis of nonlinear primary-secondary structural systems
    • Huang, C. D., and Soong, T. T., 1994, "Stochastic Sensitivity Analysis of Nonlinear Primary-Secondary Structural Systems," Eng. Struct., 16, pp. 91-96.
    • (1994) Eng. Struct. , vol.16 , pp. 91-96
    • Huang, C.D.1    Soong, T.T.2
  • 214
    • 0026944340 scopus 로고
    • Equivalent linearization for seismic responses. I: Formulation and error analysis
    • Park, Y. J., 1994, "Equivalent Linearization for Seismic Responses. I: Formulation and Error Analysis," J. Eng. Mech., 118, pp. 2207-2226.
    • (1994) J. Eng. Mech. , vol.118 , pp. 2207-2226
    • Park, Y.J.1
  • 215
    • 0032045224 scopus 로고    scopus 로고
    • Error analysis of statistical linearization with gaussian closure for large-degree-of-freedom systems
    • Micaletti, R. C., Cakmak, A. S., Nielsen, S. R. K., and Koyluoglu, H. U., 1998, "Error Analysis of Statistical Linearization With Gaussian Closure for Large-Degree-of-Freedom Systems," Probab. Eng. Mech., 13, pp. 77-84.
    • (1998) Probab. Eng. Mech. , vol.13 , pp. 77-84
    • Micaletti, R.C.1    Cakmak, A.S.2    Nielsen, S.R.K.3    Koyluoglu, H.U.4
  • 216
    • 31944447348 scopus 로고
    • Accuracy analysis of statistical linearization methods applied to nonlinear continuous systems described by random integral equations
    • Skrzypczyk, J., 1994, "Accuracy Analysis of Statistical Linearization Methods Applied to Nonlinear Continuous Systems Described by Random Integral Equations," J. Theor. Appl. Mech., 32, pp. 841-865.
    • (1994) J. Theor. Appl. Mech. , vol.32 , pp. 841-865
    • Skrzypczyk, J.1
  • 217
    • 0013167132 scopus 로고
    • Accuracy analysis of statistical linearization methods applied to nonlinear dynamical systems
    • Skrzypczyk, J., 1995, "Accuracy Analysis of Statistical Linearization Methods Applied to Nonlinear Dynamical Systems," Rep. Math. Phys., 36, pp. 1-20.
    • (1995) Rep. Math. Phys. , vol.36 , pp. 1-20
    • Skrzypczyk, J.1
  • 218
    • 31944442880 scopus 로고
    • Equivalent linearization for seismic responses, I: Formulation and error analysis-discussion
    • Casciati, F., and Venini P., 1994, "Equivalent Linearization for Seismic Responses, I: Formulation and Error Analysis-Discussion," J. Eng. Mech., 120, pp. 676-678.
    • (1994) J. Eng. Mech. , vol.120 , pp. 676-678
    • Casciati, F.1    Venini, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.