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针对饱和均质地基中二维填充沟远场被动隔振问题,首先,基于饱和多孔介质频域边界元法,建立了以薄层法(TLM)基本解作为动力Green函数的饱和土半解析边界元法,该方法可有效的分析饱和半空间的动力问题,是解决土–结构动力相互作用问题的一种有效工具。在此基础上,根据填充沟与周围土体的邻接条件,推导得到了填充沟对Rayleigh波散射的二维边界元方程;运用上述边界元方程,对刚性填充沟的远场隔振问题进行了详细的参数分析。结果表明:在饱和地基中设置填充沟能够对地面振动起到有效的隔振作用;增加填充沟的深度和剪切模量均能有效地提高其隔振效果;填充沟宽度对隔振效果影响较为复杂,而填充材料的泊松比对隔振效果则基本没有影响。
Aiming at the problem of far-field passive isolation of two-dimensional filled ditch in saturated homogeneous ground, firstly, based on saturated porous media, the fundamental solution of saturated layered soil (TLM) is established as a semi-analytical boundary of saturated soil Element method. This method can effectively analyze the dynamic problem of saturated half-space and is an effective tool to solve the soil-structure dynamic interaction problem. Based on the above, the two-dimensional boundary element equation of Rayleigh wave scattering by the filling groove is deduced according to the adjacent conditions of the filling groove and the surrounding soil. Using the above boundary element equation, the far-field vibration isolation of the rigid filling groove Detailed parameter analysis. The results show that filling the groove in a saturated foundation can effectively prevent the vibration of the ground; increasing the depth and the shear modulus of the filling groove can effectively improve the vibration isolation effect; and the width of the filling groove affects the vibration isolation effect Is more complicated, but the Poisson’s ratio of filling material has no effect on the vibration isolation effect.