非饱和弹性半空间地基的稳态响应半解析法研究  

Semi-analytical method for steady-state response of unsaturated elastic half-space foundations

作　　者：曹彩芹[1] 鲍楠 CAO Cai-qin;BAO Nan(School of Science,Xi'an University of Architecture&.Technology,Xi'an 710055,China)

机构地区：[1]西安建筑科技大学理学院,西安710055

出　　处：《计算力学学报》2023年第2期323-330,共8页Chinese Journal of Computational Mechanics

摘　　要：应用半解析法研究简谐荷载下非饱和弹性半空间地基的稳态响应。基于非饱和土的动力控制方程以及非饱和弹性半空间的边界条件,建立地基层单元的半解析函数,应用加权残数法得到在简谐荷载下非饱和弹性半空间地基的稳态响应半解析方程。对半解析方程求解,得到了竖向简谐荷载作用下非饱和弹性地基水平位移和竖向位移幅值,数值分析了饱和度和地基深度等参数对孔压和位移幅值的影响。研究结果表明,应用本文方法研究非饱和弹性半空间地基的稳态响应是切实有效的。Using a semi-analytical method,this paper studies steady-state responses of an unsaturated elastic half-space foundation under a harmonic load.Based on the dynamic control equation of unsaturated soil and the boundary conditions of the unsaturated elastic half-space,the semi-analytical function of the foundation element is established.By the weighted residual method,this paper gets the unsaturated semi-analytical equation of the steady-state responses on the elastic half space.The semi-analytical equations are solved to obtain the horizontal and vertical displacement amplitudes of the unsaturated elastic foundation under the vertical harmonic load.The effects of saturation and foundation depth on pore pressure and displacement were calculated numerically.The research results show that the application of this method to study the steady-state response of unsaturated elastic half-space foundations is practical and effective.

关 键 词：非饱和土 半空间地基 简谐荷载 稳态响应 半解析加权残数法 

分 类 号：O343[理学—固体力学]