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利用Muki和Sternberg的虚拟桩法,研究了饱和土体地基中排桩对移动荷载引起振动的被动隔振效果。隔振桩作为一维杆,饱和土体满足Biot理论。利用已有的移动荷载作用下的饱和土体的自由波场解及饱和土体内部受竖向圆形分布荷载作用下的基本解,建立了频域内土-桩的第2类Fredholm积分方程。通过Fourier逆变换得到时间域内评价隔振效果的振幅比。与已知文献结果相比较,验证了方法的正确性。数值结果表明,荷载速度对排桩的隔振效果有一定影响,即在相同隔振系统情况下,单排桩对低速荷载引起振动的隔振效果比高速移动荷载效果好。同时,较高速时的最佳桩长比低速时要短。
By using the virtual pile method of Muki and Sternberg, the passive vibration isolation effect of row piles on saturated soil foundation caused by moving loads is studied. Vibration isolation pile as a one-dimensional bar, saturated soil to meet the Biot theory. The second type Fredholm integral equation of soil-pile in frequency domain is established by using the free-wave solutions of saturated soils under the existing moving loads and the fundamental solution under the action of vertical circular load in saturated soil. Through the inverse Fourier transform, the amplitude ratio of vibration isolation in time domain is obtained. Compared with the known literature results, the correctness of the method is verified. The numerical results show that the load velocity has a certain influence on the vibration isolation effect of the piles. That is to say, under the same vibration isolation system, the single-row piles have better vibration isolation effect than the high-speed moving loads. At the same time, the best pile length at higher speeds is shorter than at low speeds.