EXPERIMENTAL STUDY ON AMPLITUDE FREQUENCY MODULATION CHARACTERISTICS OF ROGUE WAVES
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摘要:
在漂浮式风力机水池缩尺模型实验中，生成畸形波以模拟其在实际海况下的性能响应十分重要，而畸形波的生成机制以及产生概率一直是研究的热点问题。为此，本文通过在海洋工程实验水池中进行物理实验，以此来探究波浪的演化过程以及畸形波的产生概率。实验采用随机波幅和随机相位法生成初始波序，对实验结果进行统计学分析，并对波浪能谱进行研究。实验结果表明，波浪谱的谱峰值下移以及谱峰频率逐渐减小。波浪的波高分布不再服从Rayleigh分布，具有大Benjamin-Feir指数的波浪场更容易出现极限波高或畸形波。
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关键词:
- 非线性波 /
- 波浪调制演化 /
- 畸形波 /
- Benjamin-Feir指数
Abstract:Generating rogue waves in offshore tank during the scaled model tests of an offshore wind turbine is crucial, and the mechanisms and probabilities of rogue wave generation have always been a hot issue in the research. Therefore, through the experiment in the ocean engineering experimental tank, the experiment uses the random amplitude and random phase method to generate the initial wave sequence, and conducts a statistical analysis of the experimental results. The wave energy spectrum is studied to explore the evolution of waves and assess the probability of rogue waves. The results show that in the wave propagation, the spectral peak moves down and the frequency of the spectral peak decreases gradually. Additionally, the wave height distribution of waves does not obey the Rayleigh distribution, and the wave field with large Benjamin-Feir index (BFI) is more prone to limit wave height or rogue wave.
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Keywords:
- nonlinear waves /
- modulational instability /
- rogue wave /
- Benjamin-Feir index
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图 1 上海交通大学多功能拖曳水池
Figure 1. Multi-function towing tank of Shanghai Jiao Tong University
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图 2 实验中通过浪高仪测量波浪序列
Figure 2. The wave time series is measured by wave probes in the experiment
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图 4 3组实验的波峰生存函数
Figure 4. Survival functions of the wave crest height for the three cases
表 1 实验参数表
Table 1 Parameters of the test cases
Cases γ Hs/m ϵ BFI Case 1 1.0 0.125 0.046 0.6 Case 2 3.3 0.162 0.052 1.4 Case 3 6.0 0.182 0.056 2.0 
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表 2 X/L = 34.87处谱峰频率
Table 2 Wave frequencies in X/L = 34.87
Cases $ {f}_{0} $ $ {f}_{\text{test}} $ $ \Delta f $ Case 1 0.6667 0.6697 + 0.0031 Case 2 0.6667 0.6488 − 0.0179 Case 3 0.6667 0.6069 − 0.0597
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表 3 畸形波产生概率（单位：%）
Table 3 The probability of generating rogue waves (unit: %)
X/L = 11.57 X/L = 15.76 X/L= 34.87 Rayleigh 0.0333 0.0333 0.0333 Case 1 0.0763 0.1901 0.1559 Case 2 0.1230 0.6645 0.2152 Case 3 0.0628 0.7986 1.4157
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