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直角坐标系下黏弹性层状地基动力响应分析

寇磊 徐建国 王博

寇磊, 徐建国, 王博. 直角坐标系下黏弹性层状地基动力响应分析[J]. 应用数学和力学, 2018, 39(5): 529-537. doi: 10.21656/1000-0887.380155
引用本文: 寇磊, 徐建国, 王博. 直角坐标系下黏弹性层状地基动力响应分析[J]. 应用数学和力学, 2018, 39(5): 529-537. doi: 10.21656/1000-0887.380155
KOU Lei, XU Jianguo, WANG Bo. Dynamic Response Analysis of Viscoelastic Multilayered Foundation in the Cartesian Coordinate System[J]. Applied Mathematics and Mechanics, 2018, 39(5): 529-537. doi: 10.21656/1000-0887.380155
Citation: KOU Lei, XU Jianguo, WANG Bo. Dynamic Response Analysis of Viscoelastic Multilayered Foundation in the Cartesian Coordinate System[J]. Applied Mathematics and Mechanics, 2018, 39(5): 529-537. doi: 10.21656/1000-0887.380155

直角坐标系下黏弹性层状地基动力响应分析

doi: 10.21656/1000-0887.380155
基金项目: 国家自然科学基金(51708512;51579226);河南省高等学校重点科研项目(17A560031);郑州大学青年专项科研启动基金(F0000881)
详细信息
    作者简介:

    寇磊(1983—),男,讲师,博士(通讯作者. E-mail: klyhe@163.com).

  • 中图分类号: TU433

Dynamic Response Analysis of Viscoelastic Multilayered Foundation in the Cartesian Coordinate System

Funds: The National Natural Science Foundation of China(51708512; 51579226)
  • 摘要: 基于直角坐标系下黏弹性力学的基本控制方程,运用Fourier-Laplace积分变换、解耦变换、微分方程组理论和矩阵理论,推导轴对称动荷载及非轴对称动荷载作用时黏弹性地基三维空间问题积分变换域内的解析单元刚度矩阵;根据边界条件和层间连续条件集成总刚度矩阵;求解含有总刚度矩阵方程的代数方程,得到积分变换域内相应问题的解;利用Fourier-Laplace积分逆变换得到真实物理域内的解.编制相应程序计算黏弹性层状地基动力响应与已有解答进行对比,验证了提出方法的正确性.
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出版历程
  • 收稿日期:  2017-05-26
  • 修回日期:  2017-07-30
  • 刊出日期:  2018-05-15

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