基于比例边界有限元法动态刚度矩阵的坝库耦合分析方法  

TRANSIENT ANALYSIS METHOD FOR DAM-RESERVOIR INTERACTION BASED ON DYNAMIC STIFFNESS OF SBFEM

作　　者：李上明[1] 

机构地区：[1]中国工程物理研究院总体工程研究所,四川绵阳621900

出　　处：《工程力学》2013年第2期313-317,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(10902060);中国博士后科学基金特别项目(201003123);中国工程物理研究院科学技术发展基金项目(2011B0201036)

摘　　要：针对坝体在水平向激励下的瞬态耦合问题和基于比例边界有限元法,推导了等横截面半无限水库的动态刚度矩阵,其值用贝赛尔函数计算。基于该动态刚度矩阵,建立了有限元法与比例边界有限元法的耦合方程,分析了水平向激励下任意几何形状的半无限水库的瞬态响应。其中,半无限水库分解成用有限元离散的任意几何形状的近场域和用比例边界有限元法模拟的远场域即等横截面半无限水库。通过比较动态刚度矩阵和动态质量矩阵模拟等横截面半无限水库的计算效率,发现它们计算精度相同,但动态刚度矩阵效率更高。数值算例表明了所发展的动态刚度矩阵与其耦合方程的正确性。For dam transient analysis subjected to horizontal ground excitations and based on the scaled boundary finite element method （SBFEM）, a dynamic stiffness of semi-infinite reservoir with constant cross section was proposed, which was evaluated by the Bessel fi.mction. Based on the dynamic stiffness, a SBFEM and finite element method （FEM） coupling equation was developed to analyze transient responses of semi-infinite reservoir with arbitrary geometry under horizontal ground excitations, where the semi-infinite reservoir was divided into two parts： near field and far field （semi-infinite reservoir with constant cross section）. The near field with arbitrary geometry was discretized by FEM, while the far field was modeled by the SBFEM. Through comparing the calculation efficiency of the dynamic stiffness matrix and that of the dynamic mass matrix, it was found that the calculation efficiency of the dynamic stiffness matrix was higher than that of the dynamic mass matrix, and both of them had the same accuracy. Numerical examples showed the accuracy of the developed dynamic stiffness matrix and its coupled equation.

关 键 词：比例边界有限元法 动态刚度矩阵 有限元法 坝库系统 水平向地震激励 瞬态分析 

分 类 号：TV312[水利工程—水工结构工程]