具有初曲率板弯曲的边界元分析

BOUNDARY ELEMENT ANALYSIS OF INITIALLY CURVED THIN PLATE IN BENDING

由于具有初曲率板弯曲问题的控制微分方程较复杂，直接求解原问题基本解推导边界积分方程较为困难。本文通过引入等效荷载，将此问题的控制微分方程化成与普通板弯曲基本方程形式相同的微分方程，利用一般求解板弯曲问题的边界元法迭代求解，建立了分析具有初曲率板弯曲问题的边界元法。算例表明本方法理论准确、精度良好。

The boundary. element method for initially. curved plate in bending is established in the paper. Since the governing equation of initially curved thin plate in bending is rather complicated, it is difficult to set up boundary integral equation by solving the equation to obtain fundamental solution. On the basis of introducing equivalent load, the governing equation of the problem is transformed into the form of ordinary plates. The boundary element method for ordinary plate bending is employed to tackle the problem through iteration. Numerical examples are presented. The method is shown to be accurate and efficient.