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一个新的簿板大挠度广义势能原理
引用本文:蒋友谅.一个新的簿板大挠度广义势能原理[J].北京工业大学学报,1991(2).
作者姓名:蒋友谅
作者单位:北京理工大学
摘    要:在薄板大挠度问题最小势能原理的一种新提法(势能密度中同时含有应变与应力函数的形式)的基础上,用线性Lagrange乘子法,解除包括薄膜和弯曲广义应力-广义应变关系在内的全部变分约束条件,建立了一个新的薄板大挠度问题三类变量广义势能原理。

关 键 词:薄板大挠度  Lagrange乘子法  广义势能原理

A New Generalized Potential Energy Principle for Plate Bending with Large Deflection
Jiang Youliang.A New Generalized Potential Energy Principle for Plate Bending with Large Deflection[J].Journal of Beijing Polytechnic University,1991(2).
Authors:Jiang Youliang
Affiliation:Beijing Institute of Technology
Abstract:Based on a new proposition of the principle of minimum potential energy for plate bending with large deflection, a new generalized potential energy principle for plate bending with large deflection is established in this paper, with linear Lagrange multiplier method of relaxing all variational constraint conditions, including generalized stress-generalized strain relation for membrane and bending.
Keywords:large deflection for plate bending  Lagrange multiplier method  generalized potential energy principle
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