矩形薄板与弹性半空间地基相互作用研究  

Interaction analysis between thin rectangular plate and elastic foundation

作　　者：王春玲[1] 曹彩芹[1] 孔旭光[1] 黄义[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《西安建筑科技大学学报（自然科学版）》2006年第2期236-240,共5页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

基　　金：国家自然科学基金项目(59678003)

摘　　要：半解析单元法分析了矩形薄板与弹性半空间地基的静动力相互作用,提出了板单元和地基单元半解析位移函数.采用在水平两方向解析,在竖向进行离散化的方法,使三维相互作用的问题简化为一维数值计算问题,大大减少了计算工作量.根据半解析单元法编制的程序简单,收敛速度快,并提高计算精度,大大克服了计算工作量.数值计算表明:通过与其他文献其他方法的计算结果对比,结果吻合良好,说明半解析单元法是分析矩形薄板与弹性半空间地基的静动力相互作用的实用方法.In this paper , interaction problem between thin rectangular plate and elastic foundation is analyzed by the semianalytic element method. Two sets of analytic function are used in the horizontal directions and the method of discreteness is used in the vertical direction. Thus the three dimensional interaction problem can be simplified into one dimensional numerical problem. The program based on the principle of semi analytic element method, which can save compution time dramatically for its quick convergeuce, furthermore, it can acqure precise result. Compare to other literature, their results are coincident. And the results show that semi-analytic element method is a practical method for analyzing the static and dynamic interaction between thin rectangular plate and elastic foundation.

关 键 词：矩形薄板 弹性半空间地基 静动力相互作用 半解析单元法 

分 类 号：TU470[建筑科学—结构工程]