开孔簿板非线性分析的数学模型和广义变分原理<sup>*</sup>

程昌钧; 杨骁

开孔簿板非线性分析的数学模型和广义变分原理^*

程昌钧,
杨骁

兰州大学力学系兰州 730000

基金项目: * 国家教委博士点基金

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出版历程
- 收稿日期: 1995-02-22
- 刊出日期: 1996-02-15

The Mathematical Models and Generalized Variational Principles of Nonlinear Analysis for Perforated Thin Plates

Department of Mechanics, Lanzbou University, Lanzbou, Gansu 730000, P. R. China

摘要

摘要: 基于薄板非线性弯曲的Kirchhoff-Kármán假设.本文提出了在任意中面边界条件下任意开孔薄板非线性分析的三类边值问题并建立了相应的广义变分原理.能够看到在本文中提出的数学模型完全是一种新的不同于Karman理论的模型.这些数学模型能够应用于任意中面边界条件下开孔薄板的非线性分析和稳定性分析.
- 开孔薄板 /
- 非线性分析 /
- 数学模型 /
- 广义变分原理
Abstract: On foe basis of the Kirchoff-Kármán hypothses for the nonlinear bending of thin plates, the three kinds of boundary value problems of nonlinear analysis for perforated fhin plates are presented under the differenr in-plane boundary conditions and the corresponding generalized varialional principles are established. One can see that all mathematical models presented in this paper are completely new ones and differ from the ordinary von Karman theory. These mathematical models can be applied to the nonlinear analysis and the Stability analysis of perforaled thin plates in arbitraryplane boundary conditions.
- perforated thin plate /
- non-linear analysis /
- mathematical model /
- generalized variational principle

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参考文献(13)

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