非均匀地基在矩形移动荷载作用下的动力响应

Dynamic response of non-homogeneous foundation to rectangular moving loads

利用半解析法研究矩形移动荷载作用下非均匀地基的动力响应问题.基于双向Fourier级数展开技术,建立矩形移动荷载作用下非均匀地基的动力计算模型,其中考虑地基剪切模量为随深度任意变化的连续函数.经过理论推导,给出非均匀地基在矩形移动荷载作用下地基中位移级数形式的解析解答.通过数值算例分析并讨论地基非均匀参数、荷载移动速度以及地基表面的剪切模量等对地基力学响应的影响规律.从数值计算结果看,表面土体的剪切模量越大、非均匀程度越大、移动荷载速度越小,都会使土体中各点的竖向位移减小.

Semi-analytical method was used to study the problem of dynamic response of non-uniform foundation to rectangular moving loads. By using the approach of double Fourier series expansion, the dy- namic calculation model of non-uniform foundation subjected to rectangular moving load was established in which the shear modulus of foundation was taken as an arbitrarily variable continuous function of depth. Through theoretical derivation, the analytical solutions of displacement in series forms was given＇to the non-homogeneous foundation subjected to rectangular moving loads. Through a numerical example, the influence pattern of the foundation non-uniform parameters, load, moving speed and shear modulus of foundation surface on the mechanical response of the foundation were analyzed and discussed. The numeri- cal result showed that the soil vertical displacement would decrease proportionally with the surface shear modulus and degree of non-homogeneity and load moving velocity.