考虑离心体力的直线单元的解析法

AN ANALYTIC INTEGRATIONAL METHOD OF STRAIGHT LINE ELEMENT WITH ROTATIONAL INERTIA

对于体积力问题,可将体积力的域内积分转换为边界上的积分运算。这将减少域内划分单元,使边界元法处理体积力时更简捷方便。本文在文[1]和[2]的基础上,提出用单元的解析积分取代数值积分,计算离心体力问题,推导了相应的直线单元即常单元和线性单元的解析式,算例表明,本文方法数值精度高,尤其在靠近边界的内点时,效果亦较好。

A boundary element method for two dimonsional elastic problem included the rotational inertia is proposed in this paper. The analytic formula of corresponding straight line element of the problem is deduced. The computed results of an example show that the method gives higher numerical precision, especially about the inner stresses at positions close to the boundary.