• CN:11-2187/TH
  • ISSN:0577-6686

›› 1993, Vol. 29 ›› Issue (3): 28-35.

• 论文 • 上一篇    下一篇

薄板/扁壳大挠度问题的新型广义变分原理

蒋友谅   

  1. 北京理工大学
  • 发布日期:1993-05-01

NEW GENERALIZED VARIATIONAL PRINCIPLES OF THIN PATE/SHALLOW SHELL FOR LARGE DEFLECTION PROBLEMS

Jiang Youliang   

  1. Beijing Institute of Technology
  • Published:1993-05-01

摘要: 本文利用Legendre变换给出薄板和扁壳大挠度问题最小势能/驻值余能原理的一种新提法;在这种新提法的基础上,用识别Legrange乘子法,解除包括广义应力-广义应变关系在内的全部的约束条件,建立了薄板/扁壳大挠度问题的新型三类变量广义变分原理,并讨论了它们同现有广义变分原理的关系。

关键词: 变分法, 薄板, 大挠度, 弹性力学, 壳体

Abstract: In this paper, new principles of minimum potential/stationary complementary energy of thin plates and shallow shells for large deflection are proposed by means of Legender transformation. And based on these new principles, new three-variable generalized variational principles of thin plate/shallow shell for large deflections are establisted by applying Lagrange multiplier method to relax all constraint conditions including generalized stress-generalized strain relation. And the relations between them and previous generalized varitional principles are discussed.

Key words: Elastic mechanics, Large deflection, Shallow shell, Thin plate, Variational method