Reissner型板边界点法

The boundary point method for Reissner′s plates

文章采用 Reissner型板基本解来构建一系列特解 ,再通过边界点法确定边界元方程系数矩阵的全部元素。解算中不涉及具体插值 ,不用数值积分 ,避免了奇性处理 ,而任意点物理量的计算不依赖于待解的边界未知量 ,算效高 ,精度好。该法还可用来分析其它各类板壳问题 ,无论是各向同性还是各向异性的 。

In this paper, a series of particular solutions are formed by utilizing correspondent Reissner′s plate fundamental solutions. Thus all elements in the coefficient matrix of boundary element equations for plates to be solved will be determined by boundary point method. In the process of solving, interpolation and numerical integration are not needed and numerical treatment for singular integration is avoided, meanwhile, the calculation of physical characteristics of any point does not depend on boundary unknowns to be solved, therefore, the accuracy is excellent.The method presented may be applied to solving the problems of all kinds of plates and shells no matter if the problem is isotropic or anisotropic.But it should be noticed that the matrix of all particular solution field should conform with the fundamental solution of the specific problem.