圆板大挠度新的样条积分方程法

A NEW SPLINE INTEGRAL EQUATION METHOD FOR LARGE DISPLACEMENT OF CIRCULAR PLATES

本文提出了圆板大挠度新的样条积分方程法。根据圆板大挠度问题的二个平衡方程及环基本解,导出了一组积分方程,再利用样条函数法进行求解。由于采用了样条插值,只要划分少量单元就能获得精度很高的数值解。本文成果与精确解良好吻合。

A new spline integral equatiou method for large displacement of circular plates is presented. According to two equilibrium equations of large displacement of circular plates and the ring fundamental solutions,a set of integra equations is derired.Then,these integral equations are solved by the spline function method.Because of using the spline intepolation,the numerical so- lutions with very high accuracy can be achieved even if fewer elements are chosen.The solutions of this paper almost agree with exact solutions.