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太沙基固结微分方程的加权余量解法 被引量:4

THE WEIGHTED RESIDUAL ANALYTICS OF THE CONSOLIDATION DIFFERENTIAL EQUATION OF TERGAGHI, K
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摘要 加权余量法是求解力学及非力学问题的一种数学方法,原理简明,计算方便,应用广泛,误差随结果给出.本文将加权余量法应用于太沙基固结微分方程,给出了受均布荷载作用,初始时刻孔隙水压力为线性分布,边界条件分别为顶面透水、底面透水(或不透水)的饱和欠固结土层孔隙水压力解析表达式,其中二维、三维固结问题级数解尚未见有关文献介绍.所获结果可供工程技术人员应用. The weighted residual method, which is a mathematical method of the problem of the analysis mechanics and non-mechanics. The principle of the method is simple, computation is convenient. Therefore, it is applied widely. The error is given in the wake of the result of computation. In this paper, the consolidation differential equation of Tergaghi is analysed by using the weighted residual method. Then, an analytical expression of the pore water pressure of soil's layer is derived on the basis of the soil's layer under the action of the uniform load, the initial condition of the pore water pressure of linear distribution and the boundary condition of the perviousness of the top and bottom of the soil's layer. The series solution of the two dimension consolidation problem and three dimensional consolidation problem, is not presented by the relevant references. This result can be used by the engineering technical personnel.
作者 蔡晓鸿
出处 《江西水利科技》 1996年第2期94-100,共7页 Jiangxi Hydraulic Science & Technology
关键词 土工试验 孔隙水 固结 加权余量法 微分方程 Pore water pressure Consolidation The weighted residual method
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