显式分析方法在高层建筑弹塑性地震反应分析中的适用性研究  

The applicability of explicit analysis method for elastic-plastic seismic response analysis of high-rise building

作　　者：杜轲[1] 孙景江[1] 丁宝荣[1] 刘仲伟[1] 

机构地区：[1]中国地震局工程力学研究所中国地震局地震工程与工程振动重点实验室,黑龙江哈尔滨150080

出　　处：《地震工程与工程振动》2015年第4期85-93,共9页Earthquake Engineering and Engineering Dynamics

基　　金：中国地震局工程力学研究所基本科研业务费专项(2013B05);国家自然科学基金青年科学基金项目(51408563;51308513)

摘　　要：目前隐式方法是动力弹塑性时程分析最常用的分析方法,然而隐式方法在强非线性分析中常常存在迭代不收敛的问题,并且刚度矩阵求解消耗的存储空间随结构自由度增加呈几何级数增长。因此,在求解高层建筑这种大规模问题中,极易遭遇计算瓶颈。显式分析方法直接求解解耦的方程组,不需要迭代。本文对隐式方法和显式方法进行了对比分析,研究了显式分析方法在高层建筑弹塑性地震反应分析中适用性。实例分析表明,从计算精度来讲,隐式方法和显式方法在稳定条件下都能得到较好的精度。从计算效率来讲,对于自由度较少的结构,隐式方法计算效率较高;对于自由度庞大的结构,显式方法计算效率较高。建议在进行自由度多的高层建筑弹塑性地震反应分析时,采用显式分析方法。The implicit analysis method is the most commonly used for the elastic-plastic seismic response analysis because of its unconditional stability. However it often has iteration convergence problems during strong nonlinear analysis. Besides the storage space size of the stiffness matrix is geometric progression growing with the degree of structural freedom. Due to these problems,it is easy to encounter computational bottleneck for elastic-plastic seismic response analysis of high-rise building. In order to solve these problems,explicit analysis method is proposed for elastic-plastic seismic response analysis of high-rise building in this paper. The implicit method and the explicit method are studied based on finite element program Vi PSea. Numerical analytical results show that both implicit and explicit methods have good precision. For structures with few degrees of freedom（ DOFs）,implicit method is much more efficient than explicit method,but explicit method is much more efficient than the implicit method for structure with a large DOFs. It is recommended explicit analysis method is used for the nonlinear analysis of highrise building with a large DOFs.

关 键 词：显式分析方法 高层建筑 弹塑性地震反应分析 计算精度 计算效率 

分 类 号：TU973.2[建筑科学—结构工程] TU311.4