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An asymptotic-numerical method to compute bifurcating branches
Authors:P Vannucci  B Cochelin  N Damil  M Potier-Ferry
Abstract: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. © 1998 John Wiley & Sons, Ltd.
Keywords:asymptotic-numerical method  bifurcation  stability
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