移动荷载下单相弹性地基三维稳态响应

Three-dimensional steady-state responses of single-phase elastic foundation by moving loads

针对移动荷载对地基产生振动影响的问题,研究了移动荷载作用下弹性地基的动力响应。将移动单元法引入到单相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在移动荷载下单相弹性地基的三维动态响应半解析方程,将固定坐标下的动力问题转化为移动坐标下的拟静力问题。数值分析了荷载移动速度、地基阻尼等参数对地基动力响应的影响。本文工作表明,在半解析法中引入移动单元是研究移动荷载下单相介质动态响应的一种有效的方法。

To investigate the foundation vibration induced by moving loads, the dynamic responses of elastic foundation by moving loads were concerned. Moving Element Method was introduced into semi- analytical method of single-phase elastic soil medium, and moving layered elements at the same speed with loads~ were formed. Based on the soil medium dynamic governing equations and boundary condi- tions in moving coordinates, the three-dimensional dynamic response quasi-static semi-analytical element equations of single-phase elastic foundation were established by applying weighted residual method. The effects of load speed and foundation damping on elastic foundation dynamic responses were calculated numerically. Meanwhile, numerical calculations carried out in this paper indicate that the quasi-static semi-analytical element method is effective for the calculation and analysis of the dynamic responses of elastic foundation by moving loads.