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回传射线矩阵法分析桩的横向动力响应
引用本文:陈云敏,王宏志.回传射线矩阵法分析桩的横向动力响应[J].岩土工程学报,2002,24(3):271-275.
作者姓名:陈云敏  王宏志
作者单位:浙江大学岩土工程研究所;浙江大学岩土工程研究所 浙江杭州310027;浙江杭州310027;
摘    要:将Timoshenko梁引入到弹性地基梁模型中 ,考虑地基土的分层变化 ,建立了桩顶作用一水平动荷载桩的横向动力响应的基本方程。采用Fourier变换和回传射线矩阵法 ,获得了桩基横向自由振动的频率方程 ;通过离散Fourier反变换 ,得到了冲击荷载作用下桩身的动力响应。经算例分析 ,桩基横向动力响应的传播深度与土层分布以及桩土之间的相对刚度密切相关

关 键 词:Timoshenko梁  弹性地基梁  Fourier变换  回传射线矩阵法  
文章编号:1000-4548(2002)03-0271-05
修稿时间:2001年3月12日

Analysis on lateral dynamic response of a pile with the method of reverberation ray matrix
CHEN Yunmin,WANG Hongzhi.Analysis on lateral dynamic response of a pile with the method of reverberation ray matrix[J].Chinese Journal of Geotechnical Engineering,2002,24(3):271-275.
Authors:CHEN Yunmin  WANG Hongzhi
Affiliation:Geotechnical Engineering Institute of Zhejiang University Hangzhou 310027 China
Abstract:In this paper, Timoshenko beam on elastic foundation is introduced to model a pile in a layered half space under a dynamic lateral loading. The wave equation of the system in frequency domain is established using Fourier transform. The natural frequency equation and dynamic response of the system are also obtained using the method of reverberation ray matrix. And then, the response of a pile under transient loading is presented by means of the discrete Fourier inverse transform. Case studies show that the dynamic response of a pile is closely related with the distribution of layered soil and the relative stiffness between pile and soil.
Keywords:Timoshenko beam  elastic foundation beam  Fourier transform  method of reverberation ray matrix
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