Calculation method of wind-wave joint forces exerted on offshore structures considering coherence

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (19) : 126-133.

WEI Chengxun, LI Shenghui, ZHANG Zhihao, YU Songze

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Abstract

The environmental elements of random wind and wave have strong coherence which affects the fluctuating wind speeds and waveforms in the process of combined wind and wave propagation , and then further affects the combined wind-wave forces and structural responses of offshore structures. To accurately calculate the combined random wind-wave forces on offshore structures, cross correlation spectrums between the incoming fluctuating wind speeds and random wave fronts of the structure were calculated based on the established wind-wave coherence function which is describe the coherence of combined wind and wave propagation, and then a structural combined wind-wave power spectrum matrix including wind self-spectrum, wind cross-spectrum, wave spectrum and wind-wave cross-spectrum was established. Based on the Cholesky decomposition matrix of the combined wind-wave power spectrum, a harmonic synthesis method was utilized to generate structural fluctuating wind speed time histories under wind-wave interaction. And then the time history of structural fluctuating wind action forces were generated by combining with the wind resistance coefficients of the above-water portion of the structure. Based on the Cholesky decomposition matrix of the combined wind-wave power spectrum, by introducing the hydrodynamic transfer function of structural random wave action into the harmonic synthesis formula, the time history of structural random wave action force under wind-wave interaction was generated. The synchronous time histories of combined random wind-wave forces on the structure were generated by linking up the generated time histories of wind and wave forces. Taking the calculation of the combined wind-wave forces of an upright cylinder as an example, an application analysis of the above algorithm was carried out.

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fluctuating wind speed / random wave / wind-wave coherence function / offshore structures / combined wind-wave force

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WEI Chengxun, LI Shenghui, ZHANG Zhihao, YU Songze. Calculation method of wind-wave joint forces exerted on offshore structures considering coherence[J]. Journal of Vibration and Shock, 2024, 43(19): 126-133

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