摘要
本文讨论了弹性矩形板(Reissner板和Kirchhoff板)的一般精确解。选择三角级数和多项式组成的挠曲函数。它满足板的控制微分方程以及给定的边界条件,从而得到不同边界条件(自由,简支,固定)问题的精确解。文中包括一个悬臂矩形薄板的数值例题。
In this paper, we discuss the general exact solution of clastic rectangular plates (Reissner's plates and Kirchhoffs plates). The flexural function which consits of the trigonometric function scries and few terms of the polynomial expression is selected and a system of general linear algebraic equations for the solution of the rectangular plates is finally obtained. The flexural function satisfies the governing differential equation of plate and all of its boundary conditions. Consequently we obtain exact solution. A number of examples are included in this paper.
关键词
矩形厚板
矩形悬臂板
多项式
弹性
rectangular thick plate
rectangular cantilever plate
flcxural function
trigonometrical serics
polynomial expression
