矩形浮动弹性板的三维非线性水弹性模型以及对最大非线性响应峰值频率的研究

IF 3.4 2区工程技术 Q1 ENGINEERING, MECHANICAL

Journal of Fluids and Structures Pub Date : 2024-11-13 DOI:10.1016/j.jfluidstructs.2024.104217

S. Liang, Y. Gou, B. Teng

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引用次数: 0

摘要

通过时域非线性势流模型模拟了非线性波与三维浮动弹性板之间的非线性相互作用。在自由表面上，采用半拉格朗日的四阶 Runge-Kutta 方案进行时间步进。选择经典的薄板理论来模拟弹性板的运动。采用高阶边界元法（HOBEM）求解每个时间步的相应边界值问题。在对本模型进行验证后，成功地在三维水弹性问题中观测到了特定频率现象，表明在特定频率附近，弹性板上波侧和下波侧中心点的二次谐波位移明显较大。此外，还讨论了板宽对特定频率现象的影响。

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A three-dimensional nonlinear hydroelastic model for rectangular floating elastic plates and the examination on the peak frequency with maximum nonlinear response

The nonlinear interaction between nonlinear waves and a three-dimensional floating elastic plate is simulated by a time-domain nonlinear potential flow model. On the free surface, the 4th-order Runge-Kutta scheme with a semi-Lagrangian approach is adopted in the time-stepping process. The classical thin-plate theory is selected to simulate the motion of the elastic plate. The higher-order boundary element method (HOBEM) is employed to solve the corresponding boundary value problem at each time step. After validation of the present model, a particular frequency phenomenon is successfully observed in a three-dimensional hydroelastic problem, which shows that the second harmonic displacements at the centre point of the upwave side and downwave side of the elastic plate near a particular frequency are significantly large. In addition, the effect of the plate width on the particular frequency phenomenon is discussed.

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来源期刊

Journal of Fluids and Structures 工程技术-工程：机械

CiteScore

6.90

自引率

8.30%

发文量

173

审稿时长

65 days

期刊介绍： The Journal of Fluids and Structures serves as a focal point and a forum for the exchange of ideas, for the many kinds of specialists and practitioners concerned with fluid–structure interactions and the dynamics of systems related thereto, in any field. One of its aims is to foster the cross–fertilization of ideas, methods and techniques in the various disciplines involved. The journal publishes papers that present original and significant contributions on all aspects of the mechanical interactions between fluids and solids, regardless of scale.