变厚度夹层环形板的非线性弯曲

本文对具有变厚度的夹层环形板大挠度弯曲问题进行研究。利用变分原理导出表层和夹心均为变厚度的夹层环形板大挠度弯曲问题的控制方程和边界条件,进一步给出表层和夹心均为双曲型变厚度的夹层环形板大挠度方程,采用摄动法求得了具有双曲型变厚度夹层环形板在外边缘为可移夹紧固定、内边缘与一刚性中心固结情况下非线性弯曲问题的渐近解,得到内边缘处无量纲挠度与无量纲载荷和无量纲应力的解析表达式,并讨论几何参数和物理参数对夹层环板弯曲的影响。

NONLINEAR BENDING OF ANNULAR SANDWICH PLATES WITH VARIABLE THICKNESS

In this paper, the nonlinear bending theory for annular sandwich plates with variable thickness under the action of uniform pressure is presented. The plate consists of a isotropic core with variable thickness and two isotropic faces with variable thickness. The fundamental equations and boundary conditions are derived by means of calculus of variations. An asymptotic solution for the problem of large deflection bending of annular sandwich plates with hyperbolically varying thickness is obtained by the method of perturbation. The effects of geometrical and physical parameters on bending of the plate are illustrated and discussed.