...
首页> 外文期刊>Advances in Mathematical Physics >The Nonlinear Hydroelastic Response of a Semi-Infinite Elastic Plate Floating on a Fluid due to Incident Progressive Waves
【24h】

The Nonlinear Hydroelastic Response of a Semi-Infinite Elastic Plate Floating on a Fluid due to Incident Progressive Waves

机译:入射波引起的流体上漂浮的半无限弹性板的非线性水弹性响应

获取原文
           

摘要

The nonlinear hydroelastic response of very large floating structures (VLFSs) or an ice sheet floating on the surface of deep water, idealized as a semi-infinite thin elastic plate, is investigated analytically in the case of nonlinear incident waves. Assuming that the fluid is inviscid and incompressible and the motion is irrotational, we consider incident progressive waves with a given angular frequency within the framework of potential flow theory. With the aid of the homotopy analysis method (HAM), the convergent analytical series solutions are derived by solving the simultaneous equations in which we apply a convergence-control parameter to obtain convergent solutions with relatively few terms. The clear calculation results are represented to show nonlinear wave-plate interaction. The effects of different physical parameters, including incident wave amplitude, Young’s modulus, the thickness and density of the plate on the wave scattering, and the hydroelastic response of the floating plate, are considered. We find that the variations of the plate stiffness, thickness, and density greatly change amount of wave energy which is reflected into the open water region and is transmitted into the plate-covered region. Further, the hydroelastic response of the plate also can be affected by the amplitude of incident wave.
机译:在非线性入射波的情况下,通过分析研究了非常大的漂浮结构(VLFSs)或漂浮在深水表面的冰盖的非线性水弹性响应,理想情况下,将其理想化为半无限薄的弹性板。假设流体是无粘性且不可压缩的,并且运动是无旋转的,我们将在势流理论的框架内考虑具有给定角频率的入射渐进波。借助于同构分析方法(HAM),通过求解联立方程来导出收敛解析级数解,在该联立方程中,我们应用收敛控制参数来获得具有相对较少项的收敛解。清晰的计算结果表示出非线性波片相互作用。考虑了不同物理参数的影响,包括入射波幅度,杨氏模量,板的厚度和密度对波散射的影响以及浮板的水弹性响应。我们发现,板的刚度,厚度和密度的变化极大地改变了波能的量,该波能被反射到开放水域中并被传输到覆盖板的区域中。此外,板的水弹性响应也可能受到入射波幅度的影响。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号