Experimental and numerical study of nonlinear modal characteristics of Faraday waves

Experimental and numerical study of nonlinear modal characteristics of Faraday waves
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DOI:
10.1016/j.oceaneng.2020.108554
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发表时间:
2021-02
期刊:
影响因子:
5
通讯作者:
Xin Jin;Mi-An Xue;P. Lin
Xin Jin;Mi-An Xue;P. Lin
中科院分区:
工程技术2区
文献类型:
--
作者:
Xin Jin;Mi-An Xue;P. Lin

文献摘要

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法拉第波是指在垂直激励的水箱中产生的驻波。各种模式,特别是高阶模式的波形特性和触发条件的报道很少。本文利用NEWTANK自编程序和六足晃动试验台对法拉第波的模式1到模式5进行了研究。通过实验和数值模拟,得到了Faraday波的二维非线性模式1和模式2。此外,对二维强破缺模2、2D陡峭模3和全三维(3D)模4的Faraday波进行了数值研究。给出并分析了与非线性和破裂现象有关的自由面位移和法拉第波的快照。采用快速傅立叶变换(FFT)技术对频率响应进行识别。利用小波分析技术对暂态非线性能量的传递进行了识别。最后,在多频激励下触发了全三维多模Faraday波。
Faraday wave means the standing wave produced in a vertically-excited tank. The wave characteristics and trigger conditions of various modes especially the high-order modes are rarely reported. In this paper, an in-house-code NEWTANK and a hexapod motion sloshing test platform were employed to study mode 1 to mode 5 Faraday waves. The two-dimensional (2D) nonlinear mode 1 and mode 2 Faraday waves were obtained through both experiments and simulations. Besides, the 2D strongly breaking mode 2, 2D steep mode 3 and fully three-dimensional (3D) mode 4 Faraday waves were investigated numerically. The free surface displacement and snapshots of Faraday waves in connection with the non-linearity and breaking phenomenon were presented and analyzed. The fast Fourier transform (FFT) technique was adopted to identify the frequency response. The transfer of transient nonlinear energy was also identified by using the Wavelet analysis technique. Finally, a fully 3D multiple modal Faraday wave was triggered under multiple frequency excitations.