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分区非均质固体边界元法的改进

Inprovement of the Boundary Element Method of Piece-wise Inhomogeneous Solids

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【作者】 郭兰波

【Author】 Guo Lanbo (Department of Coal Mining)

【机构】 淮南矿业学院采矿系

【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。

【Abstract】 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

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