含锚杆钻孔线单元的3D-FSM·DDM边界元数值系统开发  

DEVELOPMENT OF THREE-DIMENSIONAL BOUNDARY ELEMENT NUMERICAL SYSTEM FSM·DDM WITH ROCK HOLE AND ANCHOR BOLT LINE ELEMENTS

作　　者：刘承论[1] 张立钊[1] 赵迁乔[1] 郑元忠[1] 

机构地区：[1]山东科技大学,山东青岛266510

出　　处：《岩石力学与工程学报》2008年第12期2528-2534,共7页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金资助项目(50774051)

摘　　要：为了将已开发的3D-FSM·DDM边界元数值系统应用于新奥法施工中锚杆支护之类的实际问题,在原数值系统的基础上,尝试开发了含锚杆线单元的三维边界元数值系统。其基本思路是,首先使锚杆单元和与之重合的锚杆钻孔单元始终点的位移差相等;其次,将全长黏结式锚杆钻孔单元简化成线单元,并且根据Kelvin基本解求其锚杆线单元的影响系数;最后与自由单元一并考虑并进行耦合,形成求解同一个模型边值问题的三维边界元数值系统。In order to expand the applicability of the coupled fictitious stress method and displacement discontinuity method, an advanced numerical system FSM .DDM that can be applied to the problems dealing with rock bolting is developed. In the procedure, two line elements representing rock hole and rock bolt are taken into consideration. Basic condition of this system is displacement continuity over the hole length of two line elements which have the same geometry, i.e. the two line elements are overlapped. The condition mentioned above corresponds to the real condition that rock bolt surface completely adheres to borehole wall. Hence, the displacement difference between two ends of bolt element is equal to that of borehole element in the numerical procedure. The influential coefficients due to extension of line element are computed based on Kelvin solution. Then, the borehole line element（free element） is combined to the three-dimensional BEM system with rock bolt line element, and the combined system can be solved as a boundary value problem.

关 键 词：数值分析 边界元 全长黏结式锚杆 线单元 影响系数 

分 类 号：O242[理学—计算数学] TD353[理学—数学]