摄动——样条函数法计算四边夹支可动矩形薄板大挠度问题

CALCULATION OF THE LARGE DEFLECTION OF THIN RECTANGULAR PLATES WITH FOUR SAND-WICHED MOVABLE BOUNDARYS BY PERTURBATION SPLINE-FUCTION METHOD

本文以中心挠度为摄动参数.将矩形板大挠度问题的非线性偏微分方程组转化成几个线性偏微分方程,然后用双样条函数配点法求解每一级摄动方程.本文具体计算了具有夹支可动边界的两个算例,计算结果表明本法具有较好的精度.

In this paper, Von Karman's set of nonlinear equation for large deflec-tion of rectangular plates is at first converted into several sets of linear equations by tak-ing central dimensionless deflection as perturbation parameter. and then. everyperturbation equation is solved by double spline--collocation method. As two computeexemples. the bending of thin plates with four sandwiched movable bounderys iscomputed. The computations show the method is of good accuracy.