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地铁运行引起的饱和地基动力响应
引用本文:高广运,何俊锋,李佳.地铁运行引起的饱和地基动力响应[J].浙江大学学报(自然科学版 ),2010,44(10):1925-1930.
作者姓名:高广运  何俊锋  李佳
作者单位:1. 同济大学 岩土及地下工程教育部重点实验室,上海 200092; 2. 四川省宜宾市交通局,四川 宜宾 644000
基金项目:国家自然科学基金资助项目(50538010,50678128,50878155);上海市重点学科建设资助项目(B308).
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-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-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.

关 键 词:地铁移动荷载  饱和土  u-w格式2.5维有限元  Fourier逆变换  动力响应

Dynamic response induced by running subway in saturated ground
GAO Guang-yun,HE Jun-feng,LI Jia.Dynamic response induced by running subway in saturated ground[J].Journal of Zhejiang University(Engineering Science),2010,44(10):1925-1930.
Authors:GAO Guang-yun  HE Jun-feng  LI Jia
Affiliation:1. Key Laboratory of Geotechnical and Underground Engineering, Ministry of Education, Tongji University, Shanghai 200092, China; 2. Yibin Municipal Bureau of Transportation, Sichuan Province, Yibin 644000, China
Abstract: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.
Keywords:subway moving load  saturated soil  u-w format 2  5D finite element  inverse Fourier transform  dynamic response
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