摘要
基于作者最近的工作,本文对一般表载及体力作用下的多层弹性地基的静态响应问题给予了较详细的讨论。以柱谐向量函数系为基础,应用传播矩阵技术给出了求解此类问题所必须的公式,并且还对不同层数及不同表载作用情形的几个例子作了数字计算,在数值积分中应用了一强迫技术以加快由此所得的缓慢收敛序列的收敛速度。 无论是从本文所给公式还是从公式的程序化及数字计算来看,柱谐向量函数系,传播矩阵法及强迫技术的联合应用既具一般性,又简单且易于实际应用,因而将其用于分析实际工程问题,特别是多层地基的粘弹性响应问题将是特别方便、有效的。
Based on the author's recent work, a detailed discussion has been given in this paper on the static responses of multilayered elastic foundations to general surface loading and body force. The formulae for calculating the displacement and stress components in this general case are deduced by the combined use of a system of special vector functions and the propagator matrix method. Numerical calculations for three examples with different number of layers and different distributions of surface loading are given. A procrustean technique is introduced to speed the convergence of the slowly convergent sequence obtained from numerical quadrature.From the formulae given or their programmed counterparts and numerical calculation, it is apparent that the combined use of the system of special vector functions, the propagator matrix method and the procrustean technique is not only general, but also simple and easy to apply in practice. Thus, it is convenient and efficient to use this combined method to analyze this type of engineering problems, it is especially, applicable to the case of viscoelastic responses of multilayered foundations.
出处
《力学学报》
EI
CSCD
北大核心
1989年第3期344-353,共10页
Chinese Journal of Theoretical and Applied Mechanics
关键词
多层地基
弹性地基
静态响应
multilayered foundations, special vector functions, propagator matrix thod, procrustean technique
