摘要
本文用半解析半数值方法求解粘弹性非均匀平面地基的动力柔度系数。将地基划分为有限个水平条带,位移函数表示为三次样条函数与富里叶级数的乘积形式,应用复数阻尼理论的拉格朗日方程,使问题归结为求解若干次低阶复代数方程组,很容易利用微机实现。文中完成了一系列算例,考察了方法的计算精度,并分析了夹层对地基柔性的影响,从而为研究结构与复杂地基的相互作用建立了可行的途径。
A semi-analytic method for determining the dynamic flexibility coefficients of the viscoelastic non-homogeneous plane foundations is developed in this paper. In this method, the foundation is partitioned into a number of strips and the displacement functions are expressed as cubic splines and Fourier's series.Then the flexibility coefficients can be obtained by solving Lagrange's equation.The present method can be conveniently carried out on a micro-computer. A number of numerical examples have been analysed and the influence of the inhomogeneity on the compliance of the foundation is briefly discussed. Therefore it may be considered as an applicable approach to the interaction analysis of structure-foundation systems.
出处
《土木工程学报》
EI
CSCD
北大核心
1990年第1期54-64,共11页
China Civil Engineering Journal
