直接积分及分段积分在边界单元法中的应用

Application of Direct Integral and Sectional Integral in Boundary Unitary Method

在边界单元法中,用积分递推公式代替高斯数值积分,以消除高斯数值积分在积分奇点上的误差,使计算靠近边界的内点应力和位移同其它内点具有相同的精确度,从而解决了应用边界元法计算狭长形状弹性体误差较大的问题。按该方法编制的计算机程序适合于线弹性的平面问题。可包含多介质及多连通体问题的计算。

In boundary unitary method this paper suggests using integral rccurrence formula to substitute Gauss numerical quadrature so as to eliminate it error in integral oddpoint,which makes calculation approach boundary internal stress and displacement,having the same accuracy as other internal points.It avoids making rather larger errors to calculate long and narrow elestie objects when using boundary unitary method,Uttilizing this method to compile a program is available to linear elestie plane.It is adequate to calculate multiple mediums and connecting units.