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层状粘弹性地基动力响应的样条半解析法

A simplified method for vibration analysis of layered visco-elastic foundation

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【作者】 姬亦工王复明栾茂田

【Author】 JI Yi gong 1,WANG Fu ming 2,LUAN Mao tian 3 (1.Department of Road & Traffic Engineering,Tongji University,Shanghai 200092,China;2. The Research Center of Road Testing Technology,Zhengzhou University of Technology,Zhengzhou 450002,China; 3.State Ke

【机构】 同济大学道路与交通系郑州工业大学与河南省道路检测工程技术研究中心大连理工大学海岸和近海工程国家重点实验室 上海200092河南郑州450002辽宁大连116024

【摘要】 提出应用样条半解析法求解层状粘弹性地基的动力响应。首先将位移函数表示为一次样条函数与Fourier级数的乘积形式 ,并使其满足无穷远处的边界条件 ,根据复阻尼理论的拉格朗日方程 ,使问题归结为求解若干次低阶复代数方程。在此基础上求解了落锤式弯沉仪 (FWD)所记录的荷载作用下的层状粘弹性地基动力响应。数值结果表明 ,该方法具有较高的精度。从而为落锤式弯沉仪 (FWD)检测路面提供了理论基础。

【Abstract】 In this paper, a simplified approach based on spline semi analytical method is proposed for analysis of dynamic response of layered visco elastic foundation. The foundation is divided into a number of sub layers and the displacement functions are expressed as the product of basic spline function and Fourier’s series.According to the complex damping principle, the dynamic responses can be obtained by solving Lagrange’s equation. Furthermore, The data of load time histories are measured by Falling Weight Deflectometer(FWD) in situ to calculate the response curves of layered visco elastic foundation. The results obtained are compared with solutions by other theoretical methods. It may be considered that the Falling Weight Deflectometer (FWD) is a useful tool for the dynamic test of road surface.

  • 【文献出处】 岩土工程学报 ,Chinese Jounal of Geotechnical Engineering , 编辑部邮箱 ,2002年01期
  • 【分类号】TU470
  • 【被引频次】15
  • 【下载频次】192
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