边界元计算薄板弯曲问题的一个新途径

A NEW APPROACH OF BOUNDARY ELEMENT METHOD FOR THE CALCULATION OF BENDING PRObLEM OF THIN PLATE

处理基本解的奇异性是边界单元法的难题之一。本文避开奇异基本解,用非奇异基本解建立边界积分方程。非奇异基本解取自齐次微分方程的一般解和完备系,使求解边界积分方程容易,计算精度良好。

Deals with the singularities of the fundamental solution is one of the difficult problem of the boundary element method. Avoiding singular fundamental solution, the paper using non-singular fundamental solution to establish the boundary integral equation. The non-singular foundamental solutions are obtained based on the use of conpleted systems of general solution of the corresponding homogeneous differential equations, and so, let the solution of the boundary integral equation 'easier and the calculation precision bettev in results.