摘要
基础动力柔度(刚度)是土-结构动力相互作用分析的关键。有限层法考虑了天然地基的分层特点,位移沿水平方向采用连续可微的级数,沿厚度方向采用线性插值计算,特别适于计算成层土中基础的动力柔度。分别采用有限层法和ABAQUS有限元软件计算了3层土层上表面矩形基础的动力柔度,2种方法得到的结果曲线能够很好的吻合,证明了用有限层法计算表面基础动力柔度的可行性及所编制程序的正确性。同时,由所得结果曲线可知:模型边界长度、级数的项数等因素是影响有限层法计算精度和收敛程度的关键因素,与ABAQUS相比,有限层法可很大程度的缩减分析时间,提高计算效率。
The foundation dynamic compliance（ stiffness） plays a key role in the dynamic soil-structure interaction analysis. The finite layer method is especially suitable for calculating dynamic compliance of a stratified soil foundation. This is due to the fact that it takes the stratified characteristic of natural soil into account,where the displacement can be calculated by using a series of continuous differentiable functions in the two orthogonal directions,while simple polynomial displacement functions are used along the thickness. In order to calculate and compare the dynamic compliance of a rectangular foundation on the surface of three-layered soil,both the finite layer method and ABAQUS（ a finite element analysis software） are used in this paper. The result curves of the two methods can be good matched. The effect of various parameters,namely,the size of the domain,the number of harmonic terms on the convergence and accuracy of the results is investigated. Analysis results show that the finite layer method can greatly reduce the analysis time,and improve the computation efficiency compared with ABAQUS.
出处
《世界地震工程》
CSCD
北大核心
2016年第1期284-291,共8页
World Earthquake Engineering
基金
国家自然科学基金项目(NO.51479174)
山东省自然基金项目(NO.ZR2012EEL31)
关键词
成层土
质量矩阵
刚度矩阵
等效荷载向量
有限层法
动力柔度
layered soil
mass matrix
stiffness matrix
equivalent load vector
finite layer method
dynamic compliance
