移动荷载作用下饱和土地基无限板的动力响应

利用Biot波动理论、无限大板的弹性理论,研究了移动荷载作用下饱和土地基上覆弹性板的动力响应问题.首先引入两类势函数解耦Biot波动方程,由所引入势函数及二维Fourier变换,得出了土体位移、应力及孔压在变换域内的通解.再根据无限大板的弹性理论求解变换域内饱和土的波动系数及板的内力表达式.最后利用IFFT算法得出时间-空间域内的解析解.通过具体算例,分析了荷载移动速度、土层剪切模量对板内力、土体的动力响应的影响.

Dynamic response of infinite plate on poro-elastic subsoils under moving loads

Based on the Biot's dynamic equation and the theory of elastic plate,the dynamic responses of an infinite plate on a poro-elastic subsoils under moving loads are studied.Numerical results of the bending moment and the shear force for the plate are obtained by performing inverse Fourier transformation in the time space domain.Moreover,the vibration of subsoil due to the moving load is also retrieved.The present methodology was validated by comparing our solutions with some monitoring results.Two examples and corresponding analysis are presented in the paper.Based on the analysis,it can be seen that the occurrence of a softer middle layer inside the layered subsoil will enhance the internal force of beam and the pore pressure considerably.It also indicates that the dynamic response of distribution becomes more oscillatory and concentrated to the region of load application with increasing the moving load velocity.