论文部分内容阅读
利用Muki和Sternberg的虚拟桩法,分析了不同荷载速度下弹性土体地基中排桩对移动荷载引起振动的被动隔振效果。首先由积分变换推导弹性土体表面受移动荷载的自由波场解、内部受圆形均布简谐荷载作用下的基本解,再根据基本解与桩土变形协调条件,建立了频域内土—桩的第二类Fredholm积分方程。最后通过求解积分方程与相应的积分逆变换得到时间域内评价隔振效果的振幅比。通过与已知文献结果比较,验证本文方法的正确性。数值结果表明:荷载速度对排桩的隔振效果有一定影响:当移动荷载小于土体的剪切波速时,随荷载速度增加排桩的隔振效果会降低,然而当荷载速度大于土体的剪切波速后,部分区域的隔振效果较好。
By using the virtual pile method of Muki and Sternberg, the passive vibration isolation effect of the row piles on the moving loads under different load velocities is analyzed. Firstly, the free-wave solutions of elastic soil subjected to moving loads are deduced by integral transformation, and the fundamental solutions are obtained under the effect of circularly uniform circular harmonic loads. Based on the basic solution and the coordination of pile-soil deformation, The Second Fredholm Integral Equation of Pile. Finally, the amplitude ratio of the vibration isolation effect in the time domain is obtained by solving the integral equation and the corresponding integral inverse transform. By comparing with the known literature results, the correctness of this method is verified. The numerical results show that the load velocity has a certain influence on the vibration isolation effect of the pile: when the moving load is less than the shear wave velocity of the soil, the vibration isolation effect of the pile will decrease with the increase of the load velocity. However, After shear wave speed, the vibration isolation effect in some areas is better.