An asymptotic-numerical method to compute bifurcating branches

被引：0
|
作者：
Vannucci, P
Cochelin, B
Damil, N
Potier-Ferry, M [1 ]
机构：
[1] Inst Super Genie Mecan & Prud, Lab Phys & Mecan Mat, URA CNRS 1215, ISGMP, F-57045 Metz 1, France
[2] Univ Pisa, Dipartimento Ingn Strutturale, I-56126 Pisa, Italy
[3] Univ Marseille, IMT Technopole Chateau Gombert, F-134510 Marseille 13, France
[4] Univ Hassan II, Fac Sci Ben MSik, LCSM, Dept Phys, Casablanca, Morocco
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1998年 / 41卷 / 08期
关键词：
asymptotic-numerical method; bifurcation; stability;
D O I：
10.1002/(SICI)1097-0207(19980430)41:8<1365::AID-NME332>3.0.CO;2-Y
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper a new method to compute the bifurcating branches for an elastic structure is presented. The method is based on the asymptotic-numerical method (ANM), hat is a perturbation technique to solve problems in non-linear mechanics. Herein, we present a computing strategy to find the bifurcation points and the post-buckling branches in the framework of the ANM. Some examples are also given, which prove the effectiveness of the proposed method. A discussion of the results and of the open problems ends the paper. (C) 1998 John Wiley & Sons, Ltd.
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页码：1365 / 1389
页数：25
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