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Numerical investigation of secondary load cycle and ringing response of a vertical cylinder

机译：垂直圆筒二次载荷周期和振铃响应的数值研究

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摘要

A numerical wave tank is established based on two-phase FVM model and VOF method and verified with the physical experiment in Grue et al. (1994). Focusing waves with different wave steepness passing a vertical cylinder are investigated by Numerical simulations. The phenomenon called 'secondary load cycle' which may lead to ringing response, is observed and discussed. The presence of secondary load cycle could be related to Froude Number (Fr). The possible transition region of the present and absent secondary load cycle is Fr = 0.4. Sub and super harmonic wave components appear in the propagation of waves, second-order wave theory could give a good prediction. Morison equation with linear wave theory could predict well the wave forces of vertical cylinder with small steepness without the secondary load cycle, but cannot capture the crests/troughs of the wave forces with the secondary load cycle. Crest improvements are achieved by second-order wave theory. A spectral analysis based on wavelet transform is applied to wave loads. The frequency of the secondary load may be up to 13 times the wave frequency, which may cause the ringing response expanding to a higher frequency range. Strong ringing response occurs in steep wave, it could be extended up to 15 times wave trough-to-trough frequency due to the secondary load cycle. The damping has slightly influence on the peak of resonance response, but it will lead to faster decay of subsequent response, if the damping ratio is large.
机译：基于两相FVM模型和VOF方法建立了数值波箱，并用Grue等人的物理实验验证。 （1994）。通过数值模拟研究了通过垂直圆筒的不同波陡度的聚焦波。观察并讨论称为“二次负载循环”的现象，并讨论。二次载荷周期的存在可能与FRoude号（FR）有关。本发明的可能的过渡区域和不存在二级载荷循环是FR = 0.4的。 Sub和超级谐波部件出现在波的传播中，二阶波理论可以给出良好的预测。具有线性波理论的Morison方程可以预测垂直圆筒的波力，垂直圆柱体具有小陡峭的陡峭载荷循环，但不能用二级负载循环捕获波力的波峰/槽。利用二阶波理论实现了波峰。基于小波变换的光谱分析应用于波浪载荷。二次负载的频率可以是波频的高达13倍，这可能导致振铃响应扩展到更高的频率范围。强烈的振铃响应发生在陡峭波中，由于二次负载循环，它可以延伸到高达15次波浪槽到槽频率。阻尼对共振响应的峰值有略微影响，但如果阻尼比率大，则会导致随后的响应的衰减更快。

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