摘要
本文借助虚拟力与积分变换法推导出分区不均质弹性及粘弹性问题的边界积分方程,阐述了数值解法。这种数值解法与均质弹性体的边界元法相类似,不需作分区组合计算,也不必随时间逐步求解,从而简化了计算程序,计算量也大大减少,便于工程应用。文中提供了用该方法完成巷道交岔点应力分析的算例。
The boundary integral equations of inhomogencous elastic and viscoelastic problems were derived through the use of applied fictitious forces and integral transformation technique. The numerical method for solving these equations was describlcd.This method is analogical to the boundary clement method for homogencous clastic solids.It docs not require to solve the problems by zoning technique and time steps so that the solution scheme is simplified and calculations can be largely reduced.Consequently,it is covvcnienl to be applied in engineering.A numerical example of the stress analysis of entry intersections using this method is presented
关键词
煤矿
巷道
应力
边界元法
粘弹性
viscoelasticity
entries
intersection
inhomogcncous medium
stress analysis / boundary clement method
