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一种高速列车引起的地基振动解析解 被引量:7

AN ANALYTICAL SOLUTION TO TRAIN-INDUCED GROUND VIBRATION
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摘要 为准确预测列车引起的地基振动,该文提出了一种新的轨道系统-饱和土地基解析分析模型。该文模型中轨道系统与饱和土地基接触面间采用与真实情况一致的位移与应力连续接触条件。轨道系统中钢轨与枕木分别采用无限长Euler梁与Kirchhoff薄板来模拟,路堤采用无限长矩形弹性层来模拟。轨道系统控制方程采用Fourier变换和Fourier级数展开相结合的方式进行求解。饱和土体半空间中引入Biot波动方程,并通过Fourier变换在变换域中进行求解。通过与现有研究成果对比发现,在高频荷载作用时,轨道系统与地基的简化接触条件会产生较大误差。另外,单相介质土体模型将明显低估地基的动力响应水平。 In order to predict the train-induced ground vibration precisely, a new track-poroelastic half-spaceAbstract: In order to predict the train-induced ground vibration precisely, a new track-poroelastic half-space model is proposed. The contact between the embankment and the half-space is assumed to be perfectly bonded, which is consistent with the real condition. The rails and sleepers are simulated by infinite Euler beams and Kirchhoff plate, respectively. The embankment to support them is modeled as a rectangular elastic layer. The solution to the embankment is based on Fourier transforms combined with the Fourier series expansion. Biot's theory is employed to simulate the fully saturated poroelastic half-space and the Fourier transform is applied to solve the governing equations. Through a comparison with existing works, it is found that, when excited by high-frequency load, the simplified contact conditions between the embankment and the half-space will cause apparent errors in predicting the ground vibration. In addition, the elastic half-space soil model will underestimate the dynamic response level significantly.
出处 《工程力学》 EI CSCD 北大核心 2011年第10期250-256,共7页 Engineering Mechanics
基金 国家自然科学基金项目(50778136) 浙江省自然科学基金杰出青年团队项目(R1080819) 博士后科学基金项目(20090450182)
关键词 Biot波动理论 列车荷载 连续接触 地基振动 解析解 Biot's theory train load continuous contact ground vibration analytical solution
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  • 2徐志胜,翟婉明.轨道交通轮轨噪声预测模型[J].交通运输工程学报,2005,5(3):14-18. 被引量:19
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