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成层弹性介质的二维基本解
引用本文:刘光廷,郝巨涛. 成层弹性介质的二维基本解[J]. 清华大学学报(自然科学版), 1996, 0(1)
作者姓名:刘光廷  郝巨涛
作者单位:清华大学水利水电工程系,“高坝大型结构”国家实验室!北京100084,清华大学水利水电工程系,“高坝大型结构”国家实验室!北京100084
摘    要:成层碾压混凝土结构的内部应力和位移对其设计十分重要。根据刚度矩阵法的基本原理提出了一个建立成层弹性介质二维基本解的一般方法,基于这一方法可以建立用于进行有限尺寸成层结构体应力分析的半解析数值方法。另外,用叠加法解决了在层体内部力作用点附近Fourier积分收敛性不好的问题。在对叠加法进行数值检验中,还得到了具有刚性边界的无限长条形介质在内部集中力作用下的解。

关 键 词:刚度矩阵法  成层弹性介质  二维基本解

Two dimensional fundamental solutions to layered elastic media
Liu Guangting,Hao Jutao. Two dimensional fundamental solutions to layered elastic media[J]. Journal of Tsinghua University(Science and Technology), 1996, 0(1)
Authors:Liu Guangting  Hao Jutao
Abstract:It is very important for designers to understand the inner stresses and displacements of layered roller compacted concrete structure. Based upon the principle of the stiffness matrix method, a general method is offered to seek the two dimensional fundamental solutions to layered elastic media,by which semi-analytical method can be set up to finite layered structure analysis. In addition, the ill convergency problems of Fourier integration in the area close to the application point of forces are solved by the method of superposition,and in the numerical test process of which, solutions are found to the problem of an infinite strip with fixed boundaries under the action of inner concentrated forces.
Keywords:stiffness matrix method  layered elastic media  two dimensional fundamental solution
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