Research on the vibration propagation mechanism and influencing factors of the foundation vibration is gaining attention increasingly. This study utilizes the IBEM (Indirect Boundary Element Method) to derive a semi-analytical solution for investigating the vibration propagation laws induced by a rigid embedded foundation in a layered half-space. Initially, the vibration response is simulated by combining the dynamic stiffness coefficients of the embedded foundation with Green's function of uniformly distributed loads. Subsequently, the accuracy and applicability of the method are verified by comparing the obtained results with the finite element results and test results. Furthermore, the attenuation laws of body waves and surface waves, as well as the influence of soil parameters are investigated. Results indicate that the softer soil site class E, as specified by the National Earthquake Hazards Reduction Program (NEHRP), exhibits the highest attenuation for both body waves and surface waves, and the ground vibration attenuation rates of P waves and Rayleigh waves at 85 m are 94% and 84%, respectively. The ground vibration response tends to oscillate around the corresponding homogeneous half-space results when the loading frequency is greater than 10 Hz, and the thinner shallow soil layer exhibits a maximum 70% amplification in peak ground displacement (PGD) compared to a homogeneous half-space.

中文翻译：

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层状半空间中刚性嵌入基础引起的振动传播的 IBEM 模拟


基础振动的振动传播机理及影响因素的研究日益受到关注。本研究利用 IBEM（间接边界元法）导出半解析解，用于研究分层半空间中刚性嵌入基础引起的振动传播规律。最初，通过将嵌入式基础的动刚度系数与均匀分布载荷的格林函数相结合来模拟振动响应。随后，通过将所得结果与有限元结果和试验结果进行比较，验证了该方法的准确性和适用性。此外，还研究了体波和面波的衰减规律以及土壤参数的影响。结果表明，国家减灾计划（NEHRP）规定的E级软土场地，体波和面波衰减最高，P波和瑞利波在85 m处的地面振动衰减率最高。分别为 94% 和 84%。当加载频率大于 10 Hz 时，地面振动响应倾向于围绕相应的均匀半空间结果振荡，并且与均匀半空间相比，较薄的浅土层在峰值地面位移 (PGD) 中表现出最大 70% 的放大空间。