论非线性稳定分析中的临界载荷并建议一组求解临界载荷的变分原理

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Discussion of Critical Load in Nonlinear Stability Analysis and Suggestion of Variational Principle of Solving Critical Loads

Shanghai University of Technology; Shanghai Institute of Appl, Math, and Mech., Shanghai

摘要: 本文从变分原理的概念出发,给出了一组求解非线性稳定临界载荷的变分公式.从本文的变分公式中可非常方便地得到失稳临界载荷的上限值.

Abstract: In this paper, a set of variational formulas of solving nonlinear instability critical loads are established from the view point of variational principle. The paper shows that it is very convenient to solve nonlinear instability critical load by using the variational formulas suggested in this paper.

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