任意荷载下成层粘弹性地基的一维固结  

One Dimensional Consolidation of Layered and Visco-Elastic Solids Under Arbitrary Loading

作　　者：蔡袁强[1] 徐长节[1] 袁海明[1] 

机构地区：[1]浙江大学土木系,杭州310027

出　　处：《应用数学和力学》2001年第3期307-313,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目 !(5990 80 12 )

摘　　要：针对成层粘弹性地基模型 ,运用Laplace变换及矩阵传递法求解了任意荷载下成层粘弹性地基一维变形问题 ,得到了频域内的通解 ,通过Laplace逆变换 ,即可计算成层粘弹性地基在任意荷载下的一维变形·　Terzaghi一维固结理论解是本文的一个特例·　结合三层地基的算例 ,可以看到粘弹性地基的固结相对于弹性地基有个滞后过程 ,但随时间最终趋于一致 ;循环荷载下粘弹性多层地基固结时 ,其有效应力和变形都呈振荡增长 ,且不与荷载同步 ,而要相对滞后·　此外 ,通过一工程实例 ,对该方法的可靠性进行论证 。Based on the layered visco_elastic soil model, according to the Terzaghi's one dimensional consolidation theory, by the method of Laplace transform and matrix transfer technique, the problems about the consolidation of layered and saturated visco_elastic soils under arbitrary loading were solved. Through deductions, the general solution, in the terms of layer thickness, the modulus and the coefficients of permeability and Laplacian transform's parameters was obtained. The strain and deformation of the layered and saturated visco_elastic soils under arbitrary loading can be calculated by Laplace inversion. According to the results of several numerical examples, the consolidation of visco_elastic soils lags behind that of elastic soils. The development of effective stress and the displacement is vibrant process under cyclic loading. Finally, an engineering case is studied and the results prove that the methods are very effective.

关 键 词：任意荷载 成层 粘弹性地基 一维固结 

分 类 号：TU471.2[建筑科学—结构工程]