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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

黄强 刘干斌 律清 黄宏伟 郑荣跃

黄强, 刘干斌, 律清, 黄宏伟, 郑荣跃. 移动荷载作用下黏弹性地基Timoshenko梁振动响应对比分析[J]. 应用数学和力学, 2020, 41(7): 735-746. doi: 10.21656/1000-0887.400235
引用本文: 黄强, 刘干斌, 律清, 黄宏伟, 郑荣跃. 移动荷载作用下黏弹性地基Timoshenko梁振动响应对比分析[J]. 应用数学和力学, 2020, 41(7): 735-746. doi: 10.21656/1000-0887.400235
HUANG Qiang, LIU Ganbin, Lü Qing, HUANG Hongwei, ZHENG Rongyue. Comparative Analysis of Dynamic Responses of Timoshenko Beams on Visco-Elastic Foundations Under Moving Loads[J]. Applied Mathematics and Mechanics, 2020, 41(7): 735-746. doi: 10.21656/1000-0887.400235
Citation: HUANG Qiang, LIU Ganbin, Lü Qing, HUANG Hongwei, ZHENG Rongyue. Comparative Analysis of Dynamic Responses of Timoshenko Beams on Visco-Elastic Foundations Under Moving Loads[J]. Applied Mathematics and Mechanics, 2020, 41(7): 735-746. 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
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

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

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

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