圆板非线性分析的一种新的渐近解法

A NEW APPROACH TO THE NON-LINEAR ANALYSIS OF CIRCULAR PLATES

本文提出了解决圆板非线性静、动力学分析的另一种新的渐近方法,方法的实质就是在板的应变能中引入一个新的参变量I_e,得到了一组以I_e进行简单耦合的控制方程,再通过迭代一变分方法得出了圆板一般非线性运动方程的渐近表达式,将文中所得结果和已知结果相比较,证明本文结果精度是满意的。

A new approach is presented in this paper to the analysis of non-linear static and dynamic behavior of dircular plates.Substan- tially it is that a new parameter,Ie,is introduced in the strain energy of plate and a set of governing differential equations coupled simply with Ie are obtained and that non-linear general dynamic equations of circular plates are obtained by solving the above equations with the iteration and Galerkin′s method Compared with the present results obtained by other methods, those Obtained by this method are proved to have a satisfactory precision.