圆板弹塑性弯曲的简单样条积分方程法

A Simple Spline Integral Equation Method for the Elasto-plastic Bending of Circular Plates

提出了圆板弹塑性弯曲的简单样条积分方程法.以径向转角作为未知量建立积分方程并结合B样条函数进行求解.这一方法具有域积分容易处理、精度高和计算简单的优点.计算结果表明本文解与文[2]解吻合良好.

In this paper, a method of spline integral equation to solve the elasto-plastic bending of circular plates is presented. The radial rotational angle is taken as the unknown and a governing integral equation is thus established which may be solved by using B-spline function. This method has the advantages of easily treatings the domain integrals and of high precision and simpler calculation. Calculation results show that solutions in this paper are in good agreement with corresponding results in paper [2].