메뉴 건너뛰기




Volumn 79, Issue 2, 2012, Pages

Coupling ritz method and triangular quadrature rule for moving mass problem

Author keywords

axial inertia of the moving mass; moving mass problem; Ritz method; transverse inertia of the moving mass; triangular quadrature rule (TQR); triangular weighting coefficients matrix

Indexed keywords

ALGEBRAIC EQUATIONS; COMPUTATIONAL EFFORT; DIFFERENTIAL QUADRATURE METHODS; MIXED FORMULATIONS; MIXED METHOD; MOVING MASS; NUMERICAL RESULTS; PARTIAL DERIVATIVES; QUADRATURE RULES; RITZ METHODS; STABILITY PROPERTIES; TEMPORAL DERIVATIVES; TIME STEP; TIME-DEPENDENT PROBLEM; TRIANGULAR MATRICES; WEIGHTING COEFFICIENT;

EID: 84859900797     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.4005577     Document Type: Article
Times cited : (14)

References (43)
  • 1
    • 0023437214 scopus 로고
    • Dynamic stability and response of a beam subjected to a deflection dependent moving load
    • 10.1115/1.3269454
    • Katz, R., Lee, C. W., Ulsoy, A., and Scott, R. A., 1987, Dynamic Stability and Response of a Beam Subjected to a Deflection Dependent Moving Load., ASME J. Vibr. Acoust., Stress, Reliab. Des., 109, pp. 361-365. 10.1115/1.3269454
    • (1987) ASME J. Vibr. Acoust., Stress, Reliab. Des. , vol.109 , pp. 361-365
    • Katz, R.1    Lee, C.W.2    Ulsoy, A.3    Scott, R.A.4
  • 3
    • 0015207123 scopus 로고
    • Dynamic stability of a beam carrying moving masses
    • 10.1115/1.3408901
    • Nelson, H. D., and Conover, R. A., 1971, Dynamic Stability of a Beam Carrying Moving Masses., ASME J. Appl. Mech., 38, pp. 1003-1006. 10.1115/1.3408901
    • (1971) ASME J. Appl. Mech. , vol.38 , pp. 1003-1006
    • Nelson, H.D.1    Conover, R.A.2
  • 4
    • 0016106277 scopus 로고
    • Deflections of a beam carrying a moving mass
    • 10.1115/1.3423394
    • Hutton, D. V., and Counts, J., 1974, Deflections of a Beam Carrying a Moving Mass., ASME J. Appl. Mech., 41, pp. 803-804. 10.1115/1.3423394
    • (1974) ASME J. Appl. Mech. , vol.41 , pp. 803-804
    • Hutton, D.V.1    Counts, J.2
  • 5
    • 0016330412 scopus 로고
    • Dynamic stability of a beam loaded by a sequence of moving mass particles
    • 10.1115/1.3423435
    • Benedetti, G. A., 1974, Dynamic Stability of a Beam Loaded by a Sequence of Moving Mass Particles., ASME J. Appl. Mech., 41, pp. 1069-1071. 10.1115/1.3423435
    • (1974) ASME J. Appl. Mech. , vol.41 , pp. 1069-1071
    • Benedetti, G.A.1
  • 6
    • 0022680135 scopus 로고
    • Dynamic behavior of beam structures carrying moving masses
    • Saigal, S., 1986, Dynamic Behavior of Beam Structures Carrying Moving Masses., ASME J. Appl. Mech., 53, pp. 222-224. 10.1115/1.3171717 (Pubitemid 16537013)
    • (1986) Journal of Applied Mechanics, Transactions ASME , vol.53 , Issue.1 , pp. 222-224
    • Saigal, S.1
  • 7
    • 0025403548 scopus 로고
    • The response of an infinite railroad track to a moving, vibrating mass
    • 10.1115/1.2888325
    • Duffy, D. G., 1990, The Response of an Infinite Railroad Track to a Moving, Vibrating Mass., ASME J. Appl. Mech., 57, pp. 66-73. 10.1115/1.2888325
    • (1990) ASME J. Appl. Mech. , vol.57 , pp. 66-73
    • Duffy, D.G.1
  • 8
    • 0029637850 scopus 로고
    • Vibration analysis of beams traversed by uniform partially distributed moving masses
    • 10.1006/jsvi.1995.0301
    • Esmailzadeh, E., and Ghorashi, M., 1995, Vibration Analysis of Beams Traversed by Uniform Partially Distributed Moving Masses., J. Sound Vib., 184, pp. 9-17. 10.1006/jsvi.1995.0301
    • (1995) J. Sound Vib. , vol.184 , pp. 9-17
    • Esmailzadeh, E.1    Ghorashi, M.2
  • 9
    • 0004409962 scopus 로고    scopus 로고
    • Linear dynamics of an elastic beam under moving loads
    • 10.1115/1.1303822
    • Rao, G. V., 2000, Linear Dynamics of an Elastic Beam Under Moving Loads., ASME J. Vibr. Acoust., 122, pp. 281-289. 10.1115/1.1303822
    • (2000) ASME J. Vibr. Acoust. , vol.122 , pp. 281-289
    • Rao, G.V.1
  • 10
    • 18244383063 scopus 로고    scopus 로고
    • Solution of the moving mass problem using complex eigenfunction expansions
    • 10.1115/1.1325010
    • Lee, K.-Y., and Renshaw, A. A., 2000, Solution of the Moving Mass Problem Using Complex Eigenfunction Expansions., ASME J. Appl. Mech., 67, pp. 823-827. 10.1115/1.1325010
    • (2000) ASME J. Appl. Mech. , vol.67 , pp. 823-827
    • Lee, K.-Y.1    Renshaw, A.A.2
  • 11
    • 34547904314 scopus 로고    scopus 로고
    • Dynamic behavior and modal control of beams under moving mass
    • DOI 10.1016/j.jsv.2007.06.008, PII S0022460X07004403
    • Nikkhoo, A., Rofooei, F. R., and Shadnam, M. R., 2007, Dynamic Behavior and Modal Control of Beams Under Moving Mass., J. Sound Vib., 306, pp. 712-724. 10.1016/j.jsv.2007.06.008 (Pubitemid 47259113)
    • (2007) Journal of Sound and Vibration , vol.306 , Issue.3-5 , pp. 712-724
    • Nikkhoo, A.1    Rofooei, F.R.2    Shadnam, M.R.3
  • 12
    • 67349129731 scopus 로고    scopus 로고
    • Investigation of critical influential speed for moving mass problems on beams
    • 10.1016/j.apm.2009.01.003
    • Dehestani, M., Mofid, M., and Vafai, A., 2009, Investigation of Critical Influential Speed for Moving Mass Problems on Beams., Appl. Math. Model., 33 (10), pp. 3885-3895. 10.1016/j.apm.2009.01.003
    • (2009) Appl. Math. Model. , vol.33 , Issue.10 , pp. 3885-3895
    • Dehestani, M.1    Mofid, M.2    Vafai, A.3
  • 13
    • 77955214432 scopus 로고    scopus 로고
    • Parametric analyses of multispan viscoelastic shear deformable beams under excitation of a moving mass
    • Kiani, K., Nikkhoo, A., and Mehri, B., 2009, Parametric Analyses of Multispan Viscoelastic Shear Deformable Beams Under Excitation of a Moving Mass., ASME J. Vibr. Acoust., 131, p. 051009. 10.1115/1.3147165
    • (2009) ASME J. Vibr. Acoust. , vol.131 , pp. 051009
    • Kiani, K.1    Nikkhoo, A.2    Mehri, B.3
  • 14
    • 70449532205 scopus 로고    scopus 로고
    • On the viscoelastic beam subjected to moving mass
    • 10.1016/j.advengsoft.2009.08.001
    • Mofid, M., Tehranchi, A., and Ostadhossein, A., 2010, On the Viscoelastic Beam Subjected to Moving Mass., Adv. Eng. Software, 41 (2), pp. 240-247. 10.1016/j.advengsoft.2009.08.001
    • (2010) Adv. Eng. Software , vol.41 , Issue.2 , pp. 240-247
    • Mofid, M.1    Tehranchi, A.2    Ostadhossein, A.3
  • 15
    • 77952431081 scopus 로고    scopus 로고
    • A mixed ritz-dq method for forced vibration of functionally graded beams carrying moving loads
    • 10.1016/j.compstruct.2010.02.012
    • Khalili, S. M. R., Jafari, A. A., and Eftekhari, S. A., 2010, A Mixed Ritz-DQ Method for Forced Vibration of Functionally Graded Beams Carrying Moving Loads., Compos. Struct., 92 (10), pp. 2497-2511. 10.1016/j.compstruct.2010.02. 012
    • (2010) Compos. Struct. , vol.92 , Issue.10 , pp. 2497-2511
    • Khalili, S.M.R.1    Jafari, A.A.2    Eftekhari, S.A.3
  • 16
    • 79955611761 scopus 로고    scopus 로고
    • Dynamic response of prestressed rayleigh beam resting on elastic foundation and subjected to masses traveling at varying velocity
    • Oni, S. T., and Omolofe, B., 2011, Dynamic Response of Prestressed Rayleigh Beam Resting on Elastic Foundation and Subjected to Masses Traveling at Varying Velocity., ASME J. Vibr. Acoust., 133, p. 041005. 10.1115/1.4003405
    • (2011) ASME J. Vibr. Acoust. , vol.133 , pp. 041005
    • Oni, S.T.1    Omolofe, B.2
  • 17
    • 24344474793 scopus 로고    scopus 로고
    • Dynamic analysis of an inclined beam due to moving loads
    • DOI 10.1016/j.jsv.2004.12.020, PII S0022460X05000404
    • Wu, J-J., 2005, Dynamic Analysis of an Inclined Beam Due to Moving Loads., J. Sound Vibr., 288, pp. 107-131. 10.1016/j.jsv.2004.12.020 (Pubitemid 41260581)
    • (2005) Journal of Sound and Vibration , vol.288 , Issue.1-2 , pp. 107-131
    • Wu, J.-J.1
  • 18
    • 0031674066 scopus 로고    scopus 로고
    • Complex-time-step newmark methods with controllable numerical dissipation
    • Fung, T. C., 1998, Complex Time-Step Newmark Methods With Controllable Numerical Dissipation., Int. J. Numer. Methods Eng., 41, pp. 65-93. 10.1002/(SICI)1097-0207(19980115)41:1<>1.0.CO;2-6 (Pubitemid 128606765)
    • (1998) International Journal for Numerical Methods in Engineering , vol.41 , Issue.1 , pp. 65-93
    • Fung, T.C.1
  • 19
    • 0024471368 scopus 로고
    • A generalized least-squares family of algorithms for transient dynamic analysis
    • 10.1002/eqe.v18:4
    • Kujawski, J., and Gallagher, R. H., 1989, A Generalized Least-Squares Family of Algorithms for Transient Dynamic Analysis., Earthquake Eng. Struct. Dyn., 18, pp. 539-550. 10.1002/eqe.v18:4
    • (1989) Earthquake Eng. Struct. Dyn. , vol.18 , pp. 539-550
    • Kujawski, J.1    Gallagher, R.H.2
  • 20
    • 0001459938 scopus 로고
    • A new algorithm for integration of dynamic systems
    • 10.1016/0045-7949(78)90126-8
    • Gellert, M., 1978, A New Algorithm for Integration of Dynamic Systems., Comput. Struct., 9, pp. 401-408. 10.1016/0045-7949(78)90126-8
    • (1978) Comput. Struct. , vol.9 , pp. 401-408
    • Gellert, M.1
  • 21
    • 0035970480 scopus 로고    scopus 로고
    • Collocation method with controllable dissipation for linear dynamics
    • DOI 10.1016/S0045-7825(00)00289-9, PII S0045782500002899
    • Mancuso, M., and Ubertini, F., 2001, Collocation Methods With Controllable Dissipation for Linear Dynamics., Comput. Methods Appl. Mech. Eng., 190, pp. 3607-3621. 10.1016/S0045-7825(00)00289-9 (Pubitemid 32329479)
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.28 , pp. 3607-3621
    • Mancuso, M.1    Ubertini, F.2
  • 22
    • 0034745915 scopus 로고    scopus 로고
    • Coupling dual reciprocity bem and differential quadrature method for time-dependent diffusion problems
    • 10.1016/S0307-904X(00)00052-4
    • Tanaka, M., and Chen, W., 2001, Coupling Dual Reciprocity BEM and Differential Quadrature Method for Time-Dependent Diffusion Problems., Appl. Math. Model., 25, pp. 257-268. 10.1016/S0307-904X(00)00052-4
    • (2001) Appl. Math. Model. , vol.25 , pp. 257-268
    • Tanaka, M.1    Chen, W.2
  • 23
    • 0037127131 scopus 로고    scopus 로고
    • Stability and accuracy of differential quadrature method in solving dynamic problems
    • DOI 10.1016/S0045-7825(01)00324-3, PII S0045782501003243
    • Fung, T. C., 2002, Stability and Accuracy of Differential Quadrature Method in Solving Dynamic Problems., Comput. Methods Appl. Mech. Eng., 191, pp. 1311-1331. 10.1016/S0045-7825(01)00324-3 (Pubitemid 34135047)
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , Issue.13-14 , pp. 1311-1331
    • Fung, T.C.1
  • 24
    • 0036543231 scopus 로고    scopus 로고
    • A study on time schemes for DRBEM analysis of elastic impact wave
    • DOI 10.1007/s00466-001-0297-4
    • Chen, W., and Tanaka, M., 2002, A Study on Time Schemes for DRBEM Analysis of Elastic Impact Wave., Comput. Mech., 28, pp. 331-338. 10.1007/s00466-001-0297-4 (Pubitemid 34631292)
    • (2002) Computational Mechanics , vol.28 , Issue.3-4 SPEC. , pp. 331-338
    • Chen, W.1    Tanaka, M.2
  • 25
    • 77952429362 scopus 로고    scopus 로고
    • Dynamic analysis of laminated composite coated beams carrying multiple accelerating oscillators using a coupled finite element-differential quadrature method
    • Eftekhari, S. A., Farid, M., and Khani, M., 2009, Dynamic Analysis of Laminated Composite Coated Beams Carrying Multiple Accelerating Oscillators Using a Coupled Finite Element-Differential Quadrature Method., ASME J. Appl. Mech., 76, p. 061001. 10.1115/1.3114969
    • (2009) ASME J. Appl. Mech. , vol.76 , pp. 061001
    • Eftekhari, S.A.1    Farid, M.2    Khani, M.3
  • 26
    • 69249222804 scopus 로고    scopus 로고
    • A coupled finite element-differential quadrature element method and its accuracy for moving load problem
    • 10.1016/j.apm.2009.03.039
    • Eftekhari, S. A., and Khani, M., 2010, A Coupled Finite Element-Differential Quadrature Element Method and its Accuracy for Moving Load Problem., Appl. Math. Model., 34, pp. 228-237. 10.1016/j.apm.2009.03.039
    • (2010) Appl. Math. Model. , vol.34 , pp. 228-237
    • Eftekhari, S.A.1    Khani, M.2
  • 27
    • 78249237157 scopus 로고    scopus 로고
    • A new mixed finite element-differential quadrature formulation for forced vibration of beams carrying moving loads
    • Jafari, A. A., and Eftekhari, S. A., 2011, A New Mixed Finite Element-Differential Quadrature Formulation for Forced Vibration of Beams Carrying Moving Loads., ASME J. Appl. Mech., 78, p. 011020. 10.1115/1.4002037
    • (2011) ASME J. Appl. Mech. , vol.78 , pp. 011020
    • Jafari, A.A.1    Eftekhari, S.A.2
  • 28
    • 0034253496 scopus 로고    scopus 로고
    • Time continuous galerkin methods for linear heat conduction problems
    • 10.1016/S0045-7825(99)00412-0
    • Mancuso, M., Ubertini, F., and Momanyi, F. X., 2000, Time Continuous Galerkin Methods for Linear Heat Conduction Problems., Comput. Methods Appl. Mech. Eng., 189, pp. 91-106. 10.1016/S0045-7825(99)00412-0
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.189 , pp. 91-106
    • Mancuso, M.1    Ubertini, F.2    Momanyi, F.X.3
  • 29
    • 0030173645 scopus 로고    scopus 로고
    • Structural dynamic analysis by a time-discontinuous galerkin finite element method
    • Li, X. D., and Wiberg, N.-E., 1996, Structural Dynamic Analysis by a Time-Discontinuous Galerkin Finite Element Method., Int. J. Numer. Methods Eng., 39, pp. 2131-2152. 10.1002/(SICI)1097-0207(19960630)39:12<>1.0.CO;2-I (Pubitemid 126648019)
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , Issue.12 , pp. 2131-2152
    • Li, X.D.1    Wiberg, N.-E.2
  • 32
    • 84985822198 scopus 로고
    • Stability and accuracy analysis of direct integration methods
    • 10.1002/eqe.v1:3
    • Bathe, K. J., and Wilson, E. L., 1973, Stability and Accuracy Analysis of Direct Integration Methods., Earthquake Eng. Struct. Dyn., 1, pp. 283-291. 10.1002/eqe.v1:3
    • (1973) Earthquake Eng. Struct. Dyn. , vol.1 , pp. 283-291
    • Bathe, K.J.1    Wilson, E.L.2
  • 33
    • 0016522260 scopus 로고
    • An improved stiffy stable method for direct integration of nonlinear structural dynamic equations
    • 10.1115/1.3423600
    • Park, K. C., 1975, An Improved Stiffy Stable Method for Direct Integration of Nonlinear Structural Dynamic Equations., ASME J. Appl. Mech., 42, pp. 464-470. 10.1115/1.3423600
    • (1975) ASME J. Appl. Mech. , vol.42 , pp. 464-470
    • Park, K.C.1
  • 34
    • 0016991814 scopus 로고
    • Stability, convergence and growth and decay of the average acceleration method in nonlinear structural dynamics
    • 10.1016/0045-7949(76)90007-9
    • Hughes, T. J. R., 1976, Stability, Convergence and Growth and Decay of the Average Acceleration Method in Nonlinear Structural Dynamics., Comput. Struct., 6, pp. 313-324. 10.1016/0045-7949(76)90007-9
    • (1976) Comput. Struct. , vol.6 , pp. 313-324
    • Hughes, T.J.R.1
  • 35
    • 84985759019 scopus 로고
    • Improved numerical dissipation for time integration algorithms in structural dynamics
    • 10.1002/eqe.v5:3
    • Hilber, H. M., Hughes, T. J. R., and Taylor, R. L., 1977, Improved Numerical Dissipation for Time Integration Algorithms in Structural Dynamics., Earthquake Eng. Struct. Dyn., 5, pp. 283-292. 10.1002/eqe.v5:3
    • (1977) Earthquake Eng. Struct. Dyn. , vol.5 , pp. 283-292
    • Hilber, H.M.1    Hughes, T.J.R.2    Taylor, R.L.3
  • 36
    • 84952130600 scopus 로고
    • Collocation, dissipation and overshoot' for time integration schemes in structural dynamics
    • 10.1002/eqe.v6:1
    • Hilber, H. M., and Hughes, T. J. R., 1978, Collocation, Dissipation and Overshoot' for Time Integration Schemes in Structural Dynamics., Earthquake Eng. Struct. Dyn., 6, pp. 99-118. 10.1002/eqe.v6:1
    • (1978) Earthquake Eng. Struct. Dyn. , vol.6 , pp. 99-118
    • Hilber, H.M.1    Hughes, T.J.R.2
  • 37
    • 84987034590 scopus 로고
    • An alpha modification of newmark's method
    • 10.1002/nme.v15:10
    • Wood, W. L., Bossak, M., and Zeinkiewicz, O. C., 1981, An Alpha Modification of Newmark's Method., Int. J. Numer. Methods Eng., 15, pp. 1562-1566. 10.1002/nme.v15:10
    • (1981) Int. J. Numer. Methods Eng. , vol.15 , pp. 1562-1566
    • Wood, W.L.1    Bossak, M.2    Zeinkiewicz, O.C.3
  • 38
    • 0027610910 scopus 로고
    • Time integration algorithm for structural dynamics with improved numerical dissipation: The generalized- method
    • Chung, J., and Hulbert, G. M., 1993, A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-Method., ASME J. Appl. Mech., 60, pp. 371-375. 10.1115/1.2900803 (Pubitemid 23679960)
    • (1993) Journal of Applied Mechanics, Transactions ASME , vol.60 , Issue.2 , pp. 371-375
    • Chung, J.1    Hulbert, G.M.2
  • 39
    • 0347058540 scopus 로고    scopus 로고
    • Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics
    • DOI 10.1002/nme.873
    • Zhou, X., and Tamma, K. K., 2004, Design, Analysis, and Synthesis of Generalized Single Step Single Solve and Optimal Algorithms for Structural Dynamics., Int. J. Numer. Methods Eng., 59, pp. 597-668. 10.1002/nme.v59:5 (Pubitemid 38193078)
    • (2004) International Journal for Numerical Methods in Engineering , vol.59 , Issue.5 , pp. 597-668
    • Zhou, X.1    Tamma, K.K.2
  • 40
    • 28844439845 scopus 로고    scopus 로고
    • Design spaces, measures and metrics for evaluating quality of time operators and consequences leading to improved algorithms by design - Illustration to structural dynamics
    • DOI 10.1002/nme.1405
    • Zhou, X., Tamma, K. K., and Sha, D., 2005, Design Spaces, Measures and Metrics for Evaluating Quality of Time Operators and Consequences Leading to Improved Algorithms by Design-Illustration to Structural Dynamics., Int. J. Numer. Methods Eng., 64, pp. 1841-1870. 10.1002/nme.v64:14 (Pubitemid 41763202)
    • (2005) International Journal for Numerical Methods in Engineering , vol.64 , Issue.14 , pp. 1841-1870
    • Zhou, X.1    Tamma, K.K.2    Sha, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.