三维层状地基动力刚度矩阵连分式算法  

A continued-fraction algorithm for dynamic stiffness matrix of foundation located or embedded in three-dimensional layered subgrade

作　　者：韩泽军[1] 林皋[1] 

机构地区：[1]大连理工大学建设工程学部,辽宁大连116024

出　　处：《大连理工大学学报》2012年第6期862-869,共8页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(90510018);中德合作研究资助项目(GZ566)

摘　　要：复杂层状地基与结构的动力相互作用尚缺乏比较准确而有效的算法.在改进的比例边界有限元方法(SBFEM)得出的三维层状地基动力刚度矩阵控制方程的基础上,将动力刚度矩阵展开为量纲一坐标ξ的级数形式并应用连分式的求解算法进行求解.该方法随连分式的阶数递增而快速收敛,可以显著提高计算效率,同时获得比较好的计算精度.利用改进的SBFEM与有限元耦合成功求解得出三维层状地基动力刚度矩阵.The solution of the dynamic interaction between the complex layered subgrade and structures lacks accurate and efficient algorithm.The governing equation for the dynamic stiffness matrix of foundation located or embedded in three-dimensional layered subgrade is formulated by the modified scaled boundary finite-element method（SBFEM）,and further expanded as a series of the nondimensional coordinate ξ.The equation is solved by a continued-fraction algorithm.The algorithm converges rapidly with the increasing of orders of continued-fraction.The modified SBFEM combining FEM is proved to possess excellent efficiency and accuracy for the analyses of dynamic stiffness matrix of three-dimensional layered subgrade.

关 键 词：比例边界有限元 动力刚度 三维层状地基 连分式算法 

分 类 号：O302[理学—力学]