壳类静力学非线性问题分岔分支的数值求解

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP) Pub Date : 2015-12-03 DOI:10.1109/SCP.2015.7342171

S. A. Kabrits, E. P. Kolpak

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引用次数: 5

摘要

本文讨论了弹性体壳理论中出现的非线性边值问题的数值解。重点考虑了相应加载图的分岔分支情况下参数解的延拓问题。提出了一种求荷载-位移图分岔分支的数值算法。通过对拱条偏心压缩问题的分析，验证了该算法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finding bifurcation branches in nonlinear problems of statics of shells numerically

The article discusses numerical solution of nonlinear boundary value problems appearing in the theory of shells made of elastomers. Issues of solution continuation with respect to parameters in case of bifurcation branching of the corresponding loading diagrams are considered particularly. A numerical algorithm for finding the bifurcation branches at the load-displacement diagram is proposed. The effectiveness of the algorithm is demonstrated for the problem of arch strip off-center compression.

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2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)

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