移动荷载作用下路面板与饱和弹性地基的动力响应

Dynamic response of pavement plate- saturated elastic foundation under moving loads

将路面板作为三维弹性体,建立路面-饱和弹性地基动力响应的层状弹性半空间体模型,对移动荷载作用下路面板-饱和弹性地基系统的动力特性进行了分析.将移动单元法引入到饱和弹性土介质的半解析方法中,构造了随荷载按照相同速度运动的移动层单元,基于移动坐标下饱和弹性土介质的动力控制方程和边界条件,应用加权残数法建立了饱和弹性土介质移动层单元动力方程,该方程可退化为单相弹性路面板移动层单元动力方程,基于此,建立了移动荷载下饱和弹性地基与路面板系统的三维动态响应的统一的半解析方程.数值分析了饱和弹性半空间地基上路面板的动力特性,研究了荷载速度、饱和层渗透系数等参数对路面板位移和土体孔隙水压力响应的影响,研究结果可为路面结构的施工设计及路基动力响应分析提供参考.

The 3d layered saturated elastic half-space model was established regarding the pavement plate as 3d elastomer. Dynamic response of the plate based on saturated elastic foundation under moving loads was analyzed. The moving element method was introduced into semi-analytical method of the saturated elastic foundation, so as to construct the moving layered element at the same speed as loads. Based on the saturated elastic foundation dynamic governing equations and boundary conditions in moving coordinate axis, the saturated elastic foundation moving layered element dynamic equations were established using weighted residual method. These equations degenerated to elastic plate element dynamic equations by simplification. And the unified semi-analytical equations of the system of plate and saturated elastic foundation 3d dynamic response under moving loads were established. The effect of load speed and saturated layer permeability coefficient dynamic response was analyzed numerically, some significant conclusions were obtained to provide references for pavement structure construction、design and subgrade dynamic response.