Mindlin板几何非线性分析的广义变分原理

文章采用二类变量广义余能原理对 Mindlin板几何非线性问题进行了深入研究 ,可由变分原理给出板满足变形协调性大挠度分析的所有基本方程和边界条件 ,并可将板的控制微分方程写成二阶联立形式 ,这对于定解问题的分析和有限元计算理论是至关重要的。

Geometrically nonlinear analysis of Mindlin plate using the generalized variational principle

An approach of the two type variables generalized variational principle is suggested and applied to studying the problem of geometrically nonlinear analysis of Mindlin plates. The deformation conformability conditions of the nonlinear plate are researched and presented, all of the basic equations and boundary conditions of the plate in large deflection can be provided by the principle.The dominant differential equations can be written in two order simultaneous form,which is very important for the definite analysis of the solution and the computing principle of FEM.