Comparison of several eigenvalue reanalysis methods for modified structures

Structural and Multidisciplinary Optimization

Volumn 20, Issue 4, 2000, Pages 253-259

  Chen, S H ^a   Yang, X W ^a   Lian, H D ^a  

^a JILIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; EIGENVALUES AND EIGENFUNCTIONS; PERTURBATION TECHNIQUES;

KIRSCH COMBINED METHODS; PADE APPROXIMATE METHODS;

STRUCTURAL ANALYSIS;

EID: 0034497783     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001580050155     Document Type: Article

References (9)

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2. Chen, S.H. 1993: Matrix perturbation theory in structural dynamics. Beijing: International Academic Publisher
3. Chen, S.H.; Lin, Y.L. 1984: Matrix perturbation of vibration analysis. Proc. 2-nd IMAC, pp. 698-704
4. Chen, S.H.; Song, D.T.; Ma, A.J. 1994: Eigensolution reanalysis of modified structures using perturbations and Raleigh quotients. Comm. Num. Meth. Eng. 10, 111-119
5. Cochelin, B.; Damil, N.; Potier-Ferry, M. 1994: Asymptotic-numerical methods and Pade' approximants for non-linear elastic structures. Int. J. Numer. Meth. Eng. 37, 1187-1213
6. Kirsch, U. 1993: Efficient reanalysis for topological optimization. Struct. Optim. 6, 143-150
7. Kirsch, U. 1995: Improved stiffness-based first-order approximations for structural optimization. AIAA J. 33, 143-150
8. Kirsch, U.; Liu, S.H. 1997: Structural reanalysis for general layout modifications. AIAA J. 35, 382-388
9. Wu, B.S.; Piao, S.X. 1996: Applications of Pade' approximation to mechanics. Mechanics & Practice 18, 27-29