边界点方法解Reissner型板

The boundary point method for Reissner's plates

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。本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。不同的只是应按各自的基本解来构造全特解场矩阵。

In this paper, a series particular solutions is formed by utilization correspondent Reissner＇s plate fundamental solutions. So that all elements in the coefficient matrix of boundary element equations for plates to be solved will be determined by boundary point method. In process of solution, interpolation and numerical intergration are not needed and numerical treatment for singular integration is avoided, meanwhile, the calculation of physical charaeteristics of any point is not depended on boundary unknowns to be solved, therefore, the accuracy is excellent. The method presented may be applied to solution all kind of plate and shell problems, regardless of problem is isotropy or anisotropy. The only difference is that the matrix of all particular solution field should be conform with the fundamental solution of the specific problem.