移动荷载作用下黏弹性地基Timoshenko梁振动响应对比分析

黄强; 刘干斌; 律清; 黄宏伟; 郑荣跃

doi:10.21656/1000-0887.400235

移动荷载作用下黏弹性地基Timoshenko梁振动响应对比分析

doi: 10.21656/1000-0887.400235

¹宁波大学岩土工程研究所, 浙江宁波 315211;²宁波工程学院建筑与交通工程学院, 浙江宁波 315211;²同济大学地下建筑与工程系, 上海 200092

基金项目: 国家自然科学基金(面上项目)（51778303）；国家自然科学基金(重点项目)（51538009）；宁波市自然科学基金(2019A610399)

详细信息

作者简介:
黄强（1987—），男，讲师，博士(E-mail: qianghuang1987@163.com);刘干斌（1976—），男，教授，博士(通讯作者. E-mail: liuganbin@nbu.edu.cn).

中图分类号: U213.2⁺¹
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- 文章访问数: 1222
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出版历程
- 收稿日期: 2019-08-06
- 修回日期: 2019-10-16
- 刊出日期: 2020-07-01

Comparative Analysis of Dynamic Responses of Timoshenko Beams on Visco-Elastic Foundations Under Moving Loads

¹Institute of Geotechnical Engineering, Ningbo University, Ningbo, Zhejiang 315211, P.R.China;²School of Civil and Transportation Engineering, Ningbo University of Technology, Ningbo, Zhejiang 315211, P.R.China;³Department of Geotechnical Engineering, Tongji University, Shanghai 200092, P.R.China

Funds: The National Natural Science Foundation of China(General Program)（51778303）; The National Natural Science Foundation of China(Key Program)（51538009）

摘要

摘要: 基于Fourier变换方法，对移动荷载作用下三维、二维和一维轨道地基模型的振动响应特征进行了研究，将轨道视为Timoshenko梁，比较了不同速度和地基厚度下各计算模型之间的响应差异.研究结果表明：三维模型存在一个地基等效刚度，为波数和频率的函数.二维和三维模型的临界速度较为接近，但比一维地基梁模型要小得多.荷载速度小于地基临界速度时，三维模型的梁挠度幅值最小，二维模型次之，一维模型梁挠度最大.当荷载速度达到或超过临界速度时，二维模型的梁挠度幅值变得最大，此时三者的挠度时程曲线存在明显差别.二维和三维模型的地层水平位移幅值先随地基深度增加而增大，在某一深度达到最大值后随深度增加逐渐减小，竖向位移幅值则随深度的增加逐渐减小.
- 移动荷载 /
- Timoshenko梁 /
- 地基等效刚度 /
- 临界速度 /
- 地基位移
Abstract: The dynamic responses of 3D, 2D and 1D track-ground models under moving loads were analyzed based on the Fourier transformation technique. The track was modelled as a Timoshenko beam, and response discrepancies between the 3 models were compared in terms of different load speeds and ground thicknesses. The results indicate that, there is an equivalent ground stiffness in the 3D track-ground model, which is a function of the wave number and the frequency. The critical velocities of 2D and 3D track-ground models are almost the same, but are much smaller than that of the 1D model. When the load speed is less than the critical speed, the Timoshenko beam deflection of the 3D model is the smallest, that of the 2D model is the intermediate, and that of the 1D model is the largest. However, when the load speed reaches or exceeds the critical velocity, the T beam deflection of the 2D model becomes the largest, and the time history curves of the T beam deflection for the 3 models are significantly different. In the 2D and 3D models, the longitudinal ground displacement firstly increases with the soil depth to a peak value and then decreases, but the vertical displacement decreases continuously with the soil depth.
- moving load /
- Timoshenko beam /
- equivalent ground stiffness /
- critical velocity /
- ground displacement

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参考文献(16)

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移动荷载作用下黏弹性地基Timoshenko梁振动响应对比分析

doi: 10.21656/1000-0887.400235

作者简介:
黄强（1987—），男，讲师，博士(E-mail: qianghuang1987@163.com);刘干斌（1976—），男，教授，博士(通讯作者. E-mail: liuganbin@nbu.edu.cn).

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Comparative Analysis of Dynamic Responses of Timoshenko Beams on Visco-Elastic Foundations Under Moving Loads

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移动荷载作用下黏弹性地基Timoshenko梁振动响应对比分析

doi: 10.21656/1000-0887.400235

作者简介: 黄强（1987—），男，讲师，博士(E-mail: qianghuang1987@163.com);刘干斌（1976—），男，教授，博士(通讯作者. E-mail: liuganbin@nbu.edu.cn).

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出版历程

Comparative Analysis of Dynamic Responses of Timoshenko Beams on Visco-Elastic Foundations Under Moving Loads

计量

出版历程

目录

作者简介:
黄强（1987—），男，讲师，博士(E-mail: qianghuang1987@163.com);刘干斌（1976—），男，教授，博士(通讯作者. E-mail: liuganbin@nbu.edu.cn).