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

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

浦俊,
卢东强

上海大学上海市应用数学和力学研究所, 上海 200072
上海市能源工程力学重点实验室, 上海 200072

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
计量
- 文章访问数: 769
- HTML全文浏览量: 121
- PDF下载量: 135
- 被引次数: 0
出版历程
- 收稿日期: 2019-04-06
- 刊出日期: 2019-11-18

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

Shanghai institute of applied mathematics and mechanics, Shanghai University, Shanghai 200072, China
Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072

摘要

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.
- 三层流体 /
- 半无限弹性板 /
- 本征函数展开 /
- 斜入射
Abstract: Wave scattering and hydroelastic response of semi-infinite elastic plates due to obliquely incident waves in a three-layer fluid are studied analytically. The densities of the three layers of fluid are different with sharp interfaces, but are constant at each layer. The fluid is assumed to be inviscid and incompressible and the motion to be irrotational. Within the frame of the linear potential flow, semi-analytical solutions for wave-plate interaction are derived with the aid of the methods of matched eigenfunction expansions and the inner product of eigenfunction. The critical angles for the incident waves of the surface mode and the interfacial wave mode are deduced in terms of the dispersion relation. As the physical parameters change, the critical angle varies accordingly. The critical angle are closely related with the existence of the surface or interfacial wave modes that propagate from the open water region to the plate-covered one, by which two problems can be answered: (1) Is there a transmitted wave on the incident interface in the plate-covered region; (2) Is there, on the interfaces above the incident surface, a transmitted wave on the plate-covered region and a reflected wave in the open water region. When the low interfacial wave is incident and the incident angle is large enough, the low interfacial wave mode in the open-water region becomes the solo wave mode in the entire fluid domain.
- three-layer fluid /
- semi-infinite elastic plate /
- eigenfunction expansion /
- oblique incidence

HTML全文

参考文献(1)

1	Kashiwagi M . Research on hydroelastic responses of VLFS: Recent progress and future work. International Journal of Offshore and Polar Engineering, 2000,10(2):81-90
2	Watanabe E, Utsunomiya T, Wang CM . Hydroelastic analysis of pontoon-type VLFS: A literature survey. Engineering Structures, 2004,26(2):245-256
3	Ohkusu M, Namba Y . Hydroelastic analysis of a large floating structure. Journal of Fluids and Structures, 2004,19(4):543-555
4	Wang CM, Tay ZY . Very large floating structures: Applications, research and development. Procedia Engineering, 2011,14:62-72
5	Squire VA . Of ocean waves and sea-ice revisited. Cold Regions Science and Technology, 2007,49(2):110-133
6	闫红梅, 崔维成, 刘应中 . 超大型浮体水弹性分析的平板格林函数法. 海洋工程, 2003,21(4):8-14
6	( Yan Hongmei, Cui Weicheng, Liu Yingzhong . Hydroelastic analysis of VLFS using plate Green function method. Ocean Engineering, 2003,21(4):8-14 (in Chinese))
7	王志军, 李润培, 舒志 . 箱式超大型浮体结构在不规则波中的水弹性响应. 海洋工程, 2001,19(3):9-13
7	( Wang Zhijun, Li Runping, Shu Zhi . Study on hydroelastic response of box 2 shaped very large floating structure in regular waves. Ocean Engineering, 2001,19(3):9-13 (in Chinese))
8	刘超, 祁恩荣, 陆晔 . 浅吃水超大型浮体连接器动力响应. 船舶力学, 2014,18(5):581-590
8	( Liu Chao, Qi Enrong, Lu Ye . Dynamic response of connectors of very large floating structures under shallow draft. Journal of Ship Mechanics, 2014,18(5):581-590 (in Chinese))
9	巴迪, 卢东强 . Plotnikov-Toland板模型中水弹性孤立波的迎撞. 力学学报, 2018,50(6):1406-1417
9	( Bhatti MM, Lu Dongqiang . Head-on collision between two hydroelastic solitary waves with Plotnikov-Toland’s plate model. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(6):1406-1417 (in Chinese))
10	Linton CM, McIver M . The interaction of waves with horizontal cylinders in two-layer fluids. Journal of Fluid Mechanics, 1995,304(1):213-229
11	Cadby JR, Linton CM . Three-dimensional water-wave scattering in two-layer fluids. Journal of Fluid Mechanics, 2000,423(1):155-173
12	Xu F, Lu DQ . Wave scattering by a thin elastic plate floating on a two-layer fluid. International Journal of Engineering Science, 2010,48(9):809-819
13	Behera H, Koley S, Sahoo T . Wave transmission by partial porous structures in two-layer fluid. Engineering Analysis with Boundary Elements, 2015,58:58-78
14	Islam N, Gayen R . Scattering of water waves by an inclined plate in a two-layer fluid. Applied Ocean Research, 2018,80:136-147
15	Paul S, De S . Effects of vertical porous barrier on progressive waves in a two layered fluid. Ocean Engineering, 2018,156:153-166
16	Rus$\mathring{a}$ PO, Grue J . Solitary waves and conjugate flows in a three-layer fluid. European Journal of Mechanics B/Fluids, 2002,21(2):185-206
17	Das D . Wave scattering by a horizontal circular cylinder in a three-layer fluid. Journal of Ocean Engineering and Science, 2016,1(2):135-148
18	Meng QR, Lu DQ . Hydroelastic interaction between water waves and thin elastic plate floating on three-layer fluid. Applied Mathematics and Mechanics - English Edition, 2017,38(4):567-584
19	Fox C, Squire VA . On the oblique reflexion and transmission of ocean waves at shore fast sea ice. Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences, 1994,347(1682):185-218
20	Kim H, Do KD, Suh KD . Scattering of obliquely incident water waves by partially reflecting non-transmitting breakwaters. Ocean Engineering, 2011,38(1):148-158
21	Cho I, Kim M . Transmission of oblique incident waves by a submerged horizontal porous plate. Ocean Engineering, 2013,61:56-65
22	Lin Q, Lu DQ . Hydroelastic interaction between obliquely incident waves and a semi-infinite elastic plate on a two-layer fluid. Applied Ocean Research, 2013,43(43):71-79