ABSTRACT The seismic analysis of large-span offshore structures, especially considering soil-structure interaction, requires reasonable spatially variable seismic underground motions in saturated soils as the input. This article theoretically derives transfer functions of saturated soils for incident SV waves to simulate multi-support seismic motions in saturated media. Three critical components for establishing power spectral density matrix to simulate spatially variable seismic motions are subsequently formulated, i.e., underground power spectral densities, response spectrum functions, and coherency functions. Consequently, the multi-support underground motions are generated based on the PSD matrix.

中文翻译：

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层状饱和介质中空间变地震地下运动模拟的理论和数值方法

摘要 大跨度海上结构的地震分析，特别是考虑土-结构相互作用，需要将饱和土壤中合理的空间可变地下地震运动作为输入。本文从理论上推导出饱和土壤对入射 SV 波的传递函数，以模拟饱和介质中的多支点地震运动。随后制定了用于建立功率谱密度矩阵以模拟空间可变地震运动的三个关键组件，即地下功率谱密度、响应谱函数和相干函数。因此，多支撑地下运动是基于 PSD 矩阵生成的。