1996年
Sensitivity analysis of bifurcation load of finite-dimensional symmetric systems
International Journal for Numerical Methods in Engineering
- ,
- 巻
- 39
- 号
- 10
- 開始ページ
- 1707
- 終了ページ
- 1720
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1002/(SICI)1097-0207(19960530)39:10<1707::AID-NME923>3.0.CO;2-K
- 出版者・発行元
- John Wiley and Sons Ltd
Three methods are presented lor sensitivity analysis of bifurcation load factor of finite-dimensional conservative symmetric systems subjected to a set of symmetric proportional loads. In the first method, a conventional method with diagonalization is utilized to derive an explicit formula of sensitivity coefficients corresponding to a minor imperfection. Next, a new concept is introduced to find the sensitivity coefficients of the load factor, displacements and the eigenmodes under fixed lowest eigenvalue of the tangent stiffness matrix. Based on this concept, a method is presented for finding approximate sensitivity coefficients of the buckling load factor. Finally, a direct method is presented to find the accurate sensitivity coefficients of the bifurcation load factor, displacements at buckling and the buckling mode of a symmetric system. Note that different formula should be used for sensitivity analysis of a limit point load factor. In the examples, the proposed three methods are compared in view of accuracy of tha results and simplicity in coding.
- リンク情報
- ID情報
-
- DOI : 10.1002/(SICI)1097-0207(19960530)39:10<1707::AID-NME923>3.0.CO;2-K
- ISSN : 0029-5981
- SCOPUS ID : 0030150537