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An asymptotic-numerical method to compute bifurcating branches (1998)

Vannucci, P. ; Cochelin, B. ; Damil, N. ; [et al.]

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 41 (1998), S. 1365-1389

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ISSN: 0029-5981

Keywords: asymptotic-numerical method ; bifurcation ; stability ; Engineering ; Numerical Methods and Modeling

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: 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.

Additional Material: 11 Ill.

Type of Medium: Electronic Resource

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