摘要
本文采用镜相法,推导出了正交各向异性半平面作用集中载荷的理论解,给出了常单元系数矩阵表达式,为采用边界元法求解半平面问题提供了必要的公式.特解表达形式简洁,对边界元间接法常单元和高次单元各积分均可求出其原函数,可避免计算程序中的定积分数值计算过程.
In this paper, the elastic solutions of concentrated force acting in orthogonal anisotropic half-plane are derived by imaginal method and the formulae of coefficient matrix for constant element arc put forward. To solve half-plane problems numerically by BEM, this paper provides the necessary formulae. Because the expressions of fundamental solutions are very simple, the object functions could be obtained for every integral of constant element and higher order element of indirect BEM. Thus, the procedure of integration could be avoided in calculation program.
出处
《应用数学和力学》
EI
CSCD
北大核心
1992年第12期1117-1126,共10页
Applied Mathematics and Mechanics
关键词
集中载荷
弹性解
边界元法
orthotropic, concentrated load, elastic solution, boundary element method