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Volumn 25, Issue 2, 2003, Pages 67-85

A unified reanalysis approach for structural analysis, design, and optimization

Author keywords

Approximate analysis; Structural optimization; Structural reanalysis

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; STRUCTURAL OPTIMIZATION;

EID: 0042470613     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-002-0269-0     Document Type: Review
Times cited : (122)

References (33)
  • 1
    • 0035070169 scopus 로고    scopus 로고
    • Fast exact linear and nonlinear structural reanalysis and the Sherman-Morrison-Woodbury formulas
    • Akgun, M.A.; Garcelon, J.H.; Haftka, R.T. 2001: Fast exact linear and nonlinear structural reanalysis and the Sherman-Morrison-Woodbury formulas. Int. J. Numer. Methods Eng. 50, 1587-1606
    • (2001) Int. J. Numer. Methods Eng. , vol.50 , pp. 1587-1606
    • Akgun, M.A.1    Garcelon, J.H.2    Haftka, R.T.3
  • 2
    • 0031997255 scopus 로고    scopus 로고
    • Reduced basis eigenvalue solutions for damaged structures
    • Aktas, A.; Moses, F. 1998: Reduced basis eigenvalue solutions for damaged structures. Mech. Struct. Mach. 26, 63-79
    • (1998) Mech. Struct. Mach. , vol.26 , pp. 63-79
    • Aktas, A.1    Moses, F.2
  • 4
    • 0034188380 scopus 로고    scopus 로고
    • Extended Kirsch combined method for eigenvalue reanalysis
    • Chen, S.H.; Yang, X.W. 2000: Extended Kirsch combined method for eigenvalue reanalysis. AIAA J. 38, 927-930
    • (2000) AIAA J. , vol.38 , pp. 927-930
    • Chen, S.H.1    Yang, X.W.2
  • 5
    • 0034497783 scopus 로고    scopus 로고
    • Comparison of several eigenvalue reanalysis methods for modified structures
    • Chen, S.H.; Yang, X.W.; Lian, H.D. 2000: Comparison of several eigenvalue reanalysis methods for modified structures. Struct. Optim. 20, 253-259
    • (2000) Struct. Optim. , vol.20 , pp. 253-259
    • Chen, S.H.1    Yang, X.W.2    Lian, H.D.3
  • 8
    • 0033892040 scopus 로고    scopus 로고
    • Approximations in optimization of damage tolerant structures
    • Garcelon, J.H.; Haftka, R.T.; Scotti, S.J. 2000: Approximations in optimization of damage tolerant structures. AIAA J. 38, 517-524
    • (2000) AIAA J. , vol.38 , pp. 517-524
    • Garcelon, J.H.1    Haftka, R.T.2    Scotti, S.J.3
  • 10
    • 0041658374 scopus 로고    scopus 로고
    • Applied reanalysis techniques for large scale structural mechanics multidisciplinary optimization in automotive industry
    • held in Dalian, China
    • Heiserer, D.; Baier, H. 2001: Applied reanalysis techniques for large scale structural mechanics multidisciplinary optimization in automotive industry. Proc. WCSMO - 4. (held in Dalian, China)
    • (2001) Proc. WCSMO - 4
    • Heiserer, D.1    Baier, H.2
  • 11
    • 0026239061 scopus 로고
    • Reduced basis approximations of structural displacements for optimal design
    • Kirsch, U. 1991: Reduced basis approximations of structural displacements for optimal design. AIAA J. 29, 1751-1758
    • (1991) AIAA J. , vol.29 , pp. 1751-1758
    • Kirsch, U.1
  • 13
    • 0000337534 scopus 로고
    • Approximate reanalysis methods
    • Edited by Kamat, M.P., Washington D.C.: AIAA
    • Kirsch, U. 1993b: Approximate reanalysis methods. Structural optimization: status and promise. Edited by Kamat, M.P., Washington D.C.: AIAA
    • (1993) Structural Optimization: Status and Promise
    • Kirsch, U.1
  • 14
    • 0000783602 scopus 로고
    • Efficient reanalysis for topological optimization
    • Kirsch, U. 1993c: Efficient reanalysis for topological optimization. Struct. Optim. 6, 143-150
    • (1993) Struct. Optim. , vol.6 , pp. 143-150
    • Kirsch, U.1
  • 15
    • 0028466834 scopus 로고
    • Effective sensitivity analysis for structural optimization
    • Kirsch, U. 1994: Effective sensitivity analysis for structural optimization. Comp. Methods Appl. Mech. Eng. 117, 143-156
    • (1994) Comp. Methods Appl. Mech. Eng. , vol.117 , pp. 143-156
    • Kirsch, U.1
  • 16
    • 0029219458 scopus 로고
    • Improved stiffness-based first-order approximations for structural optimization
    • Kirsch, U. 1995: Improved stiffness-based first-order approximations for structural optimization. AIAA J. 33, 143-150
    • (1995) AIAA J. , vol.33 , pp. 143-150
    • Kirsch, U.1
  • 17
    • 0033309461 scopus 로고    scopus 로고
    • Efficient-accurate reanalysis for structural optimization
    • Kirsch, U. 1999: Efficient-accurate reanalysis for structural optimization. AIAA J. 37, 1663-1669
    • (1999) AIAA J. , vol.37 , pp. 1663-1669
    • Kirsch, U.1
  • 18
    • 0034297852 scopus 로고    scopus 로고
    • Combined approximations - A general reanalysis approach for structural optimization
    • Kirsch, U. 2000: Combined approximations - a general reanalysis approach for structural optimization. Struct. Optim. 20, 97-106
    • (2000) Struct. Optim. , vol.20 , pp. 97-106
    • Kirsch, U.1
  • 20
    • 0037338362 scopus 로고    scopus 로고
    • Design-oriented analysis of structures - A unified approach
    • Kirsch, U. 2003a: Design-oriented analysis of structures - a unified approach. ASCE Journal of Engineering Mech. 129, 264-272
    • (2003) ASCE Journal of Engineering Mech. , vol.129 , pp. 264-272
    • Kirsch, U.1
  • 21
    • 0037347024 scopus 로고    scopus 로고
    • Approximate vibration reanalysis of structures
    • Kirsch, U. 2003b: Approximate vibration reanalysis of structures. To be published, AIAA J.
    • (2003) AIAA J.
    • Kirsch, U.1
  • 23
    • 0037144334 scopus 로고    scopus 로고
    • Accurate reanalysis of structures by a preconditioned conjugate gradient method
    • Kirsch, U.; Kocvara M.; Zowe J. 2002: Accurate reanalysis of structures by a preconditioned conjugate gradient method. Int. J. Numer. Methods Eng. 55, 233-251
    • (2002) Int. J. Numer. Methods Eng. , vol.55 , pp. 233-251
    • Kirsch, U.1    Kocvara, M.2    Zowe, J.3
  • 24
    • 0029488243 scopus 로고
    • Exact structural reanalysis by a first-order reduced basis approach
    • Kirsch, U.; Liu, S. 1995: Exact structural reanalysis by a first-order reduced basis approach. Struct. Optim. 10, 153-158
    • (1995) Struct. Optim. , vol.10 , pp. 153-158
    • Kirsch, U.1    Liu, S.2
  • 25
    • 0001262222 scopus 로고    scopus 로고
    • Structural reanalysis for general layout modifications
    • Kirsch, U.; Liu, S. 1997: Structural reanalysis for general layout modifications. AIAA J. 35, 382-388
    • (1997) AIAA J. , vol.35 , pp. 382-388
    • Kirsch, U.1    Liu, S.2
  • 26
    • 0035396943 scopus 로고    scopus 로고
    • Structural reanalysis for topological modifications
    • Kirsch, U.; Papalambros, P.Y. 2001a: Structural reanalysis for topological modifications. Struct. Optim. 21, 333-344
    • (2001) Struct. Optim. , vol.21 , pp. 333-344
    • Kirsch, U.1    Papalambros, P.Y.2
  • 27
    • 0035744673 scopus 로고    scopus 로고
    • Exact and accurate reanalysis of structures for geometrical changes
    • Kirsch, U.; Papalambros, P.Y. 2001b; Exact and accurate reanalysis of structures for geometrical changes. Eng. Comp. 17, 363-372
    • (2001) Eng. Comp. , vol.17 , pp. 363-372
    • Kirsch, U.1    Papalambros, P.Y.2
  • 28
    • 0035957633 scopus 로고    scopus 로고
    • Accurate displacement derivatives for structural optimization using approximate reanalysis
    • Kirsch, U.; Papalambros, P.Y. 2001c: Accurate displacement derivatives for structural optimization using approximate reanalysis. Comp. Methods Appl. Mech. Eng. 190, 3945-3956
    • (2001) Comp. Methods Appl. Mech. Eng. , vol.190 , pp. 3945-3956
    • Kirsch, U.1    Papalambros, P.Y.2
  • 29
    • 0035505981 scopus 로고    scopus 로고
    • Exact and accurate solutions in the approximate reanalysis of structures
    • Kirsch, U.; Papalambros, P.Y. 2001d: Exact and accurate solutions in the approximate reanalysis of structures. AIAA J. 39, 2198-2205
    • (2001) AIAA J. , vol.39 , pp. 2198-2205
    • Kirsch, U.1    Papalambros, P.Y.2
  • 30
    • 0032136003 scopus 로고    scopus 로고
    • A reduced basis method for geometric nonlinear analysis of structures
    • Leu, L.-J.; Huang, C.-W. 1998: A reduced basis method for geometric nonlinear analysis of structures. IASS J. 39, 71-75
    • (1998) IASS J. , vol.39 , pp. 71-75
    • Leu, L.-J.1    Huang, C.-W.2
  • 31
    • 0041658376 scopus 로고    scopus 로고
    • Reliability analysis of systems with progressive failure modes using reduced basis approximations
    • held in Dearborn, Michigan
    • Ramaswamy, B.; Nikolaidis, E.; Keerti, A.; Kirsch, U. 2001: Reliability analysis of systems with progressive failure modes using reduced basis approximations. Proc. 6th U.S. Nat. Congr. Comp. Mech. (held in Dearborn, Michigan)
    • (2001) Proc. 6th U.S. Nat. Congr. Comp. Mech.
    • Ramaswamy, B.1    Nikolaidis, E.2    Keerti, A.3    Kirsch, U.4
  • 32
    • 0000905616 scopus 로고
    • Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix
    • Sherman, J.; Morrison, W.J. 1949: Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix. Ann. Math. Statist. 20, 621
    • (1949) Ann. Math. Statist. , vol.20 , pp. 621
    • Sherman, J.1    Morrison, W.J.2
  • 33
    • 0008351159 scopus 로고
    • Inverting modified matrices
    • Statistical research group, Princeton University, Princeton, NJ
    • Woodbury, M. 1950: Inverting modified matrices. Memorandum Report 42 Statistical research group, Princeton University, Princeton, NJ
    • (1950) Memorandum Report , vol.42
    • Woodbury, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.