空间实体与薄板组合结构的数学模型

本文利用变换将空间实体与薄板的组合结构转化为较易研究的等价问题，进而用摄动的思想研究了在体力作用下，依赖于板厚度的位移解簇的收敛性及其极限满足的变分方程．

Mathematical Model of a Junction between Linear Elastomer and Thin Plate

In this paper,a kind of junction problem between linear elastomer and thin plate is changed, through a well scaling,into an equivalent problem which is studied easily.Then,using an idea of disturbance,we have studied the convergence of the displacement vector field under the action of body force,which is depending on the thickness of the plate.At last,the variational equations of the limit are obtained.