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An asymptotic-numerical method to compute bifurcating branches

✍ Scribed by P. Vannucci; B. Cochelin; N. Damil; M. Potier-Ferry

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 516 KB
Volume: 41
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19980430)41:8<1365::aid-nme332>3.0.co;2-y

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✦ Synopsis

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), that 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.

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