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中文摘要：
基于Biot饱和多孔介质的波动方程，通过对时间的Fourier变换得出频域内的波动方程，结合边界条件利用Galerkin法推导出频域一波数域内的u-w格式的2．5维有限元方程，通过快速Fourier逆变换求得三维时域一空间域内的动力响应．通过计算实例验证了计算模型．建立地铁-隧道-饱和地基动力相互作用模型，分析地铁移动荷载引起的饱和地基动力响应．研究表明，地铁荷载加振频率对振动幅值及衰减规律的影响很大，控制荷载自振频率是减小环境振动的最佳措施．
英文摘要：
The Galerkin method was used to derive the u-w format 2. 5D finite element equation in the frequency domain and wave-number domain by Fourier transform based on Biot＇s wave propagation equations for a saturated porous medium. The three-dimensional time-space domain dynamic response of the track and the ground was obtained from the fast inverse Fourier transform. The model of 2.5D finite element model was verified by the calculation example. The subway-tunnel-saturated ground＇s dynamic interaction model was established to analyze the dynamic response induced by subway moving load. Results showed that the oscillation frequency of subway moving loads greatly influenced the vibration amplitude and the attenuation law. It is the best measures to control the oscillation frequency for reducing the environment vibration.
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Solution of Moving-load Induced Soil Vibrations Based on the Betti-Rayleigh Dynamic Reciprocal Theor
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