The singularity in the second-order solution of flexural-gravity waves and the influence of plate length on the second-order response of a finite elastic plate
The singularity in the second-order solution of flexural-gravity waves and the influence of plate length on the second-order response of a finite elastic plate
复制标题
弯曲重力波二阶解的奇异性及板长对有限弹性板二阶响应的影响
DOI：
10.1016/j.oceaneng.2022.110663
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发表时间：
2022-02
影响因子：
5
通讯作者：
Gou Ying
中科院分区：
文献类型：
--
作者：
Liang Shuang;Teng Bin;Gou Ying
基于势流理论，采用本征函数展开法和高阶边界元法（HOBEM）耦合板的格林函数，研究了非线性波与无限弹性板和有限弹性板的二阶相互作用。对于无限弹性板，研究了二阶弯曲重力波的奇异现象；对于有限弹性板，研究了板长对最大二阶位移和发生频率的影响。有限弹性板的最大二阶位移随板长增加而增大，最大位移频率随板长增加而减小并趋近于相应无限弹性板的奇异频率。此外，还研究了板的弯曲刚度和水深对最大二阶位移的影响。
Based on potential flow theory, the second-order interaction between nonlinear waves with infinite and finite elastic plates is examined by using the eigenfunction expansion method and Higher Order Boundary Element Method (HOBEM) coupling with the plate's Green function in the frequency domain. For infinite elastic plates, the singular phenomenon of second-order flexural-gravity waves is examined, and for finite elastic plates, the effects of plate length on the maximum second-order displacement and occurring frequency are studied. The maximum second-order displacement of the finite elastic plate increases with increasing plate length, and the frequency of the maximum displacement decreases and approaches the singular frequency of the corresponding infinite elastic plate with increasing plate length. In addition, the effects of the plate bending stiffness and water depth on the maximum second-order displacement are also investigated.
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影响因子：
3.7
作者：
FORBES, LK
通讯作者：
FORBES, LK
影响因子：
4.3
作者：
B. Teng;Liang Cheng;Shu-xue Liu;F. Li
通讯作者：
B. Teng;Liang Cheng;Shu-xue Liu;F. Li
影响因子：
1.3
作者：
D. Karmakar;J. Bhattacharjee;T. Sahoo
通讯作者：
D. Karmakar;J. Bhattacharjee;T. Sahoo
DOI：
--
发表时间：
2018-07
期刊：
--
影响因子：
--
作者：
Kyeonguk Heo;M. Kashiwagi
通讯作者：
Kyeonguk Heo;M. Kashiwagi
漂浮在流体上的半无限弹性板由于入射行进波的非线性水弹性响应
影响因子：
1.2
作者：
P. Wang
通讯作者：
P. Wang