埋置高速移动荷载作用下黏弹性半空间地表响应规律研究

Ground Surface Response of Viscous-Elastic Half-Space Due to High-Speed Moving Loads of Different Depths

分析不同埋深的高速移动荷载作用在黏弹性无限半空间的响应规律.推导了埋置移动荷载作用下均匀无限黏弹性半空间地表响应的解析解,在柱坐标系下利用时间的拉普拉斯变换和位移的坐标变换得出了埋置移动荷载下黏弹性半空间的动态响应的二维积分解析解,之后用IFFT及坐标变换计算二维积分,提高了运算效率,最后分析了不同埋深、移动荷载速度情况下地表动力响应规律,发现了移动荷载在超Rayleigh波波速时地表位移出现明显的非对称性.

This paper analyzes the response of an infinite viscous-elastic half-space excited by the moving loads of different depths. To obtain the two-dimensional analytical solution of the viscous-elastic half-space due to the moving loads of different depths, the Laplace transformation and relative coordinate transformation were utilized. Then, two-dimensional infinite integration was calculated by employing the inverted fast Fourier transform and coordinate transformation to improve the operational efficiency. Further, the effects of different depths and different velocities on the surface response were analyzed. It is found that the significant asymmetry of displacement appears when the moving loads exceed the super-Rayleigh wave velocity on the surface.