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一个新的簿板大挠度广义势能原理
A New Generalized Potential Energy Principle for Plate Bending with Large Deflection
【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。
【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.
【关键词】 薄板大挠度;
Lagrange乘子法;
广义势能原理;
【Key words】 large deflection for plate bending; Lagrange multiplier method; generalized potential energy principle;
【Key words】 large deflection for plate bending; Lagrange multiplier method; generalized potential energy principle;
【基金】 国家自然科学基金
- 【文献出处】 北京工业大学学报 ,Journal of Beijing Polytechnic University , 编辑部邮箱 ,1991年02期
- 【被引频次】1
- 【下载频次】44