大尺度群桩随机波浪力场的降维模拟
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P731.22;O324;TV139.2+6

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国家自然科学基金面上项目(51978543);湖北省高等学校优秀中青年科技创新团队计划项目(T2020010)


Dimension⁃reduction simulation for large scale multiple circular cylinders random wave force field
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    摘要:

    根据随机波浪的能量分布特点,建议了一种随机波浪作用下大尺度桩柱的判别方法。在此基础上,利用大尺度桩柱波浪力谱,结合随机函数的降维思想,提出了大尺度单桩及群桩随机波浪力场的降维模拟方法。数值分析表明,此方法生成的大尺度桩柱代表性样本的均值、标准差、功率谱密度函数、自相关及互相关函数均与目标值拟合一致,且模拟精度均高于 Monte Carlo 方法,模拟效率与 Monte Carlo 方法相当。基于绕射理论和基于 Morison 方程分别对大尺度桩柱进行对比分析,以考察大尺度桩柱基于 Morison 方程所带来的误差。通过对桩柱在单桩及群桩情况下的模拟结果对比分析,进而说明群桩效应对桩柱波浪力的影响。

    Abstract:

    According to the energy characteristics of random waves,a method for judging large-scale circular cylinders subjected to random waves is suggested. On this basis,the dimension-reduction simulation method for random wave force field in terms of large scale single circular cylinder and multiple circular cylinders is derived utilizing the power spectral density function of random wave force and the random function-based dimension-reduction idea. Numerical analysis shows that the relative errors of mean,standard deviation,power spectrum,auto-correlation functions and cross-correlation functions generated by the proposed dimension-reduction method are all in good agreement with the corresponding target values. Moreover,comparison indicates that the simulation accuracy of the proposed dimension-reduction method is higher than that of Monte Carlo method,and the simulation efficiency is equivalent to Monte Carlo method. Meanwhile,large-scale circular cylinders are compared and analyzed based on diffraction theory and Morison equation to investigate the errors caused by large-scale cylinders based on Morison equation. Through the comparisons and analysis of the simulation results of cylinder in the case of single cylinder and cylinder group,the influence of cylinder group effect on wave force is explained.

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刘章军,董心宇,张文远.大尺度群桩随机波浪力场的降维模拟[J].振动工程学报,2022,35(4):849~856.[LIU Zhang?jun, DONG Xin?yu, ZHANG Wen?yuan. Dimension⁃reduction simulation for large scale multiple circular cylinders random wave force field[J]. Journal of Vibration Engineering,2022,35(4):849~856.]

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  • 在线发布日期: 2022-09-09
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