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不均匀介质样条边界元数值计算方法及应用

Formulistic method of spline boundary element in inhomogeneous media and its application
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摘要 引入虚拟力影响项改造均质岩体的边界积分方程,使其满足复合岩体分区介质的边界条件和区界联结条件,采用样条插值函数将分区介质的边界积分方程离散为代数方程组。通过对分区介质样条边界元列式方法的改进,最终使总体系数矩阵成为带宽很窄的条带阵,提高了计算精度和解题效率并应用于平顶山五矿复合围岩的变形分析和支护结构的受力计算。 By using influencing factor of fictitious force to reform the boundary integral equation of homogeneous rocks, the equation met the boundary conditions of subarea media of complex rocks. Then the equation was dispersed into algebraic equations with spline function. By the improvement of the formulistic method for spline boundary element, the whole quotient matrix was turned into a strip, which had a very narrow strip width. The calculative precision and efficiency to solve problems were improved and successfully put into the practice Pingdingshan No.5 Mine.
作者 庞建勇
出处 《安徽理工大学学报(自然科学版)》 CAS 2004年第1期25-28,共4页 Journal of Anhui University of Science and Technology:Natural Science
基金 安徽省自然科学基金资助项目(03044404)
关键词 样条函数 样条边界元 分区介质 不均匀介质 数值计算 虚拟力 岩体 边界积分方程 spline function spline boundary element subarea media engineering application
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参考文献4

  • 1秦荣.样条边界元法[J].广西大学学报(自然科学版),1983,13(2):32-42. 被引量:7
  • 2郭兰波编著..边界元法及其在岩体力学中的应用[M].徐州:中国矿业大学出版社,1991:217.
  • 3L B Guo .S S Peng. Numerical Simulation of the Long-term Stability of Entry Intersection in Underground Coal Mines [ J ]. Technical Report G1184154, West Virginia University , USA ,1990,38(2):265-268. 被引量:1
  • 4刘效尧编著..样条函数与结构力学[M].北京:人民交通出版社,1990:428.

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