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三层流体中斜入射波作用下半无限板的水弹性响应

浦俊 卢东强

浦俊, 卢东强. 三层流体中斜入射波作用下半无限板的水弹性响应[J]. 力学学报, 2019, 51(6): 1614-1629. doi: 10.6052/0459-1879-19-081
引用本文: 浦俊, 卢东强. 三层流体中斜入射波作用下半无限板的水弹性响应[J]. 力学学报, 2019, 51(6): 1614-1629. doi: 10.6052/0459-1879-19-081
Pu Jun, Lu Dongqiang. HYDROELASTIC RESPONSE OF A SEMI-INFINITE PLATE DUE TO OBLIQUELY INCIDENT WAVES IN A THREE-LAYER FLUID[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 1614-1629. doi: 10.6052/0459-1879-19-081
Citation: Pu Jun, Lu Dongqiang. HYDROELASTIC RESPONSE OF A SEMI-INFINITE PLATE DUE TO OBLIQUELY INCIDENT WAVES IN A THREE-LAYER FLUID[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 1614-1629. doi: 10.6052/0459-1879-19-081

三层流体中斜入射波作用下半无限板的水弹性响应

doi: 10.6052/0459-1879-19-081
基金项目: 1) 国家自然科学基金资助项目(11872239)
详细信息
    通讯作者:

    卢东强

  • 中图分类号: Q353

HYDROELASTIC RESPONSE OF A SEMI-INFINITE PLATE DUE TO OBLIQUELY INCIDENT WAVES IN A THREE-LAYER FLUID

  • 摘要: 解析地研究了在三层流体中斜入射波浪与半无限弹性板的相互作用引起的波散射和板的水弹性响应. 三层流体在界面处的密度发生阶跃, 各层为一常数. 假设流体不可压缩、无黏、流体运动无旋. 在线性势流理论框架下, 使用本征函数展开法和内积式给出波板相互作用的半解析解. 根据色散关系分析, 得到了表面波模态和界面波模态入射时的临界入射角. 随着物理参数的变化, 临界角将随之发生变化. 临界角决定了当由开阔水域向板覆盖水域传播的表面波或界面波的存在性: (1)板覆盖水域入射界面上, 透射波能否存在; (2)入射界面之上界面中, 板覆盖水域中的透射波以及开阔水域中的反射波能否存在. 当下界面波入射时并且入射角足够大时, 开阔水域中的下界面波模态是整个流体域中唯一存在的模态.

     

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出版历程
  • 收稿日期:  2019-04-06
  • 刊出日期:  2019-11-18

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