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Volumn 133, Issue 12, 2007, Pages 1700-1709

Combined axial and bending stiffness in interval finite-element methods

Author keywords

Bending; Finite element method; Parameters; Stiffness

Indexed keywords

DEPENDENCY PROBLEM; INTERVAL NUMBERS; LINEAR STATIC STRUCTURAL MECHANICS; STRUCTURAL MECHANICS; UNCERTAIN LOADING;

EID: 36248997568     PISSN: 07339445     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9445(2007)133:12(1700)     Document Type: Article
Times cited : (33)

References (41)
  • 2
    • 0004916189 scopus 로고
    • Grundzüge einer intervallrechtung für matrizen und einige anwwendungen
    • Apostolatos, N., and Kulisch, U. (1968). " Grundzüge einer intervallrechtung für matrizen und einige anwwendungen.. " Elektron. Rechenanlagen, 10, 73-83 (in German).
    • (1968) Elektron. Rechenanlagen , vol.10 , pp. 73-83
    • Apostolatos, N.1    Kulisch, U.2
  • 3
    • 0003474648 scopus 로고    scopus 로고
    • Prentice-Hall, Upper Saddle River, N.J.
    • Bathe, K. (1996). Finite element procedures, Prentice-Hall, Upper Saddle River, N.J.
    • (1996) Finite Element Procedures
    • Bathe, K.1
  • 4
    • 33846293056 scopus 로고    scopus 로고
    • Reliability implications of advanced analysis in design of steel frames
    • Buonopane, S. G., Schafer, B. W., and Igusa, T. (2003). " Reliability implications of advanced analysis in design of steel frames.. " Proc., ASSCCA'03, Sydney, Australia.
    • (2003) Proc., ASSCCA'03
    • Buonopane, S.G.1    Schafer, B.W.2    Igusa, T.3
  • 5
    • 0037137830 scopus 로고    scopus 로고
    • Interval static displacement analysis for structures with interval parameters
    • Chen, S. H., Lian, H. D., and Yang, X. W. (2002). Interval static displacement analysis for structures with interval parameters.. " Int. J. Numer. Methods Eng., 53, 393-407.
    • (2002) Int. J. Numer. Methods Eng. , vol.53 , pp. 393-407
    • Chen, S.H.1    Lian, H.D.2    Yang, X.W.3
  • 7
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced by a multi-valued mapping
    • Dempster, A. P. (1967). " Upper and lower probabilities induced by a multi-valued mapping.. " Ann. Math. Stat., 38, 325-339.
    • (1967) Ann. Math. Stat. , vol.38 , pp. 325-339
    • Dempster, A.P.1
  • 8
    • 0035246317 scopus 로고    scopus 로고
    • Analysis of mechanical systems using interval computations applied to finite elements methods
    • Dessombz, O., Thouverez, F., Làń, J.-P., and J́źquel, L. (2001). " Analysis of mechanical systems using interval computations applied to finite elements methods.. " J. Sound Vib., 238 (5), 949-968.
    • (2001) J. Sound Vib. , vol.238 , Issue.5 , pp. 949-968
    • Dessombz, O.1    Thouverez, F.2    Làń, J.-P.3    J́źquel, L.4
  • 9
    • 38449112156 scopus 로고
    • Hybrid arithmetic
    • IEEE Computer Society Press
    • Ferson, S., and Ginzburg, L. (1995). " Hybrid arithmetic.. " Proc., ISUMA-NAFIPS'95, IEEE Computer Society Press, 619-623.
    • (1995) Proc., ISUMA-NAFIPS'95 , pp. 619-623
    • Ferson, S.1    Ginzburg, L.2
  • 11
    • 0032626019 scopus 로고    scopus 로고
    • Load and resistance convex models for optimum design
    • Ganzerli, S., and Pantelides, C. P. (1999). " Load and resistance convex models for optimum design.. " Struct. Optim., 17, 259-268.
    • (1999) Struct. Optim. , vol.17 , pp. 259-268
    • Ganzerli, S.1    Pantelides, C.P.2
  • 13
  • 15
    • 0025725943 scopus 로고
    • Interval linear system with symmetric matrices, skew-symmetric matrices, and dependencies in the right hand side
    • Jansson, C. (1991). " Interval linear system with symmetric matrices, skew-symmetric matrices, and dependencies in the right hand side.. " Computing, 46, 265-274.
    • (1991) Computing , vol.46 , pp. 265-274
    • Jansson, C.1
  • 18
    • 0032041562 scopus 로고    scopus 로고
    • A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties
    • Koyluoglu, H. U., and Elishakoff, I. (1998). A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties.. " Comput. Struct., 67, 91-98.
    • (1998) Comput. Struct. , vol.67 , pp. 91-98
    • Koyluoglu, H.U.1    Elishakoff, I.2
  • 19
    • 0004963344 scopus 로고
    • Algebraische und metrische strukturen in der intervallrechung und eingine anwendungen
    • Mayer, O. (1970). Algebraische und metrische strukturen in der intervallrechung und eingine anwendungen.. " Computing, 5, 144-162 (in German).
    • (1970) Computing , vol.5 , pp. 144-162
    • Mayer, O.1
  • 20
    • 0035255129 scopus 로고    scopus 로고
    • Anti-optimisation of uncertain structures using interval analysis
    • McWilliam, S. (2000). " Anti-optimisation of uncertain structures using interval analysis.. " Comput. Struct., 79, 421-430.
    • (2000) Comput. Struct. , vol.79 , pp. 421-430
    • McWilliam, S.1
  • 21
    • 17344387190 scopus 로고    scopus 로고
    • Fuzzy structural analysis using level-optimization
    • Möller, B., Graf, W., and Beer, M. (2000). " Fuzzy structural analysis using level-optimization.. " Comput. Mech., 26 (6), 547-565.
    • (2000) Comput. Mech. , vol.26 , Issue.6 , pp. 547-565
    • Möller, B.1    Graf, W.2    Beer, M.3
  • 22
    • 0004293209 scopus 로고
    • Prentice-Hall, Englewood Cliffs, N.J.
    • Moore, R. E. (1966). Interval analysis, Prentice-Hall, Englewood Cliffs, N.J.
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 24
    • 38449122552 scopus 로고
    • Development of interval based methods for fuzziness in continuum mechanics
    • Muhanna, R. L., and Mullen, R. L. (1995). " Development of interval based methods for fuzziness in continuum mechanics.. " Proc., ISUMA-NAFIPS'95, 23-45.
    • (1995) Proc., ISUMA-NAFIPS'95 , pp. 23-45
    • Muhanna, R.L.1    Mullen, R.L.2
  • 25
    • 0033105251 scopus 로고    scopus 로고
    • Formulation of fuzzy finite element methods for mechanics problems
    • Muhanna, R. L., and Mullen, R. L. (1999). Formulation of fuzzy finite element methods for mechanics problems.. " Comput. Aided Civ. Infrastruct. Eng., 14, 107-117.
    • (1999) Comput. Aided Civ. Infrastruct. Eng. , vol.14 , pp. 107-117
    • Muhanna, R.L.1    Mullen, R.L.2
  • 26
    • 0035371106 scopus 로고    scopus 로고
    • Uncertainty in mechanics problems-Interval-based approach
    • Muhanna, R. L., and Mullen, R. L. (2001). " Uncertainty in mechanics problems-Interval-based approach.. " J. Eng. Mech., 127 (6), 557-566.
    • (2001) J. Eng. Mech. , vol.127 , Issue.6 , pp. 557-566
    • Muhanna, R.L.1    Mullen, R.L.2
  • 28
    • 0032633467 scopus 로고    scopus 로고
    • Bounds of structural response for all possible combinations
    • Mullen, R. L., and Muhanna, R. L. (1999). " Bounds of structural response for all possible combinations.. " J. Struct. Eng., 125 (1), 98-106.
    • (1999) J. Struct. Eng. , vol.125 , Issue.1 , pp. 98-106
    • Mullen, R.L.1    Muhanna, R.L.2
  • 29
  • 30
    • 0001861349 scopus 로고
    • Rigorous sensitivity analysis for parameter-dependent systems of equations
    • Neumaier, A. (1989). " Rigorous sensitivity analysis for parameter-dependent systems of equations.. " J. Math. Anal. Appl., 144, 14-25.
    • (1989) J. Math. Anal. Appl. , vol.144 , pp. 14-25
    • Neumaier, A.1
  • 32
    • 0035333126 scopus 로고    scopus 로고
    • Comparison of fuzzy set and convex model theories in structural design
    • Pantelides, C. P., and Ganzerli, S. (2001). " Comparison of fuzzy set and convex model theories in structural design.. " Mech. Syst. Signal Process., 15 (3), 499-511.
    • (2001) Mech. Syst. Signal Process. , vol.15 , Issue.3 , pp. 499-511
    • Pantelides, C.P.1    Ganzerli, S.2
  • 33
    • 0031696684 scopus 로고    scopus 로고
    • Antioptimization of structures with large uncertain-but-non-rand parameters via interval analysis
    • Qiz, Z., and Elishakoff, I. (1998). " Antioptimization of structures with large uncertain-but-non-rand parameters via interval analysis.. " Comput. Methods Appl. Mech. Eng., 152, 361-372.
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.152 , pp. 361-372
    • Qiz, Z.1    Elishakoff, I.2
  • 34
    • 0000448462 scopus 로고    scopus 로고
    • Analysis of uncertain structural systems using interval analysis
    • Rao, S. S., and Berke, L. (1997). " Analysis of uncertain structural systems using interval analysis.. " AIAA J., 35 (4), 727-735.
    • (1997) AIAA J. , vol.35 , Issue.4 , pp. 727-735
    • Rao, S.S.1    Berke, L.2
  • 35
    • 0032188518 scopus 로고    scopus 로고
    • Numerical solution of fuzzy linear equations in engineering analysis
    • Rao, S. S., and Chen, L. (1998). " Numerical solution of fuzzy linear equations in engineering analysis.. " Int. J. Numer. Methods Eng., 43, 391-408.
    • (1998) Int. J. Numer. Methods Eng. , vol.43 , pp. 391-408
    • Rao, S.S.1    Chen, L.2
  • 36
    • 0003119522 scopus 로고
    • Solving algebraic problems with high accuracy
    • U.Kulisch and W.Miranker, eds., Academic, New York.
    • Rump, S. M. (1983). " Solving algebraic problems with high accuracy.. " A new approach to scientific computation, U. Kulisch, and, W. Miranker, eds., Academic, New York.
    • (1983) A New Approach to Scientific Computation
    • Rump, S.M.1
  • 37
    • 0026761994 scopus 로고
    • On the solution of interval linear systems
    • Rump, S. M. (1992). " On the solution of interval linear systems.. " Computing, 47, 337-353.
    • (1992) Computing , vol.47 , pp. 337-353
    • Rump, S.M.1
  • 38
    • 0035628958 scopus 로고    scopus 로고
    • Self-validating methods
    • Rump, S. M. (2001). " Self-validating methods.. " Linear Algebr. Appl., 324, 3-13.
    • (2001) Linear Algebr. Appl. , vol.324 , pp. 3-13
    • Rump, S.M.1
  • 41
    • 49349133217 scopus 로고
    • Fuzzy sets as a basis for a theory of possibility
    • Zadeh, L. A. (1978). " Fuzzy sets as a basis for a theory of possibility.. " Fuzzy Sets Syst., 1, 3-28.
    • (1978) Fuzzy Sets Syst. , vol.1 , pp. 3-28
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.