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三阶Stokes型随机波浪载荷谱研究
引用本文:马汝建,赵锡平.三阶Stokes型随机波浪载荷谱研究[J].海洋科学,2002,26(11):38-43.
作者姓名:马汝建  赵锡平
作者单位:济南大学科技处,250022
摘    要:应用非线性谱分析理论,对三阶Stokes型随机波浪载荷谱进行了分析,将波面方程及海水质点的水平速度用一阶波面的非线性组表示,导出了随机波浪谱的表达式。为了便于求解随机波浪的载荷谱,将阻力项展开为幂级数式,并应用非线性谱分析理论,确定了幂级数的系数,进而将波浪载荷表示为一阶波面及其导数的非线性组合,最后得出波浪载荷谱密度的表达式,并应用数值分析方法,得出单位桩柱波浪力及总波浪力谱密度。

关 键 词:三阶Stokes波浪理论  随机波浪  载荷谱  波浪阻力级数表达式
收稿时间:2001/3/28 0:00:00
修稿时间:2001年3月28日

SPECTRAL STUDY ON WAVE LOADINGS OF RANDOM WAVES WITH THE THIRD STOKES TYPE
MA Ru-jian,ZHAO Xi-ping.SPECTRAL STUDY ON WAVE LOADINGS OF RANDOM WAVES WITH THE THIRD STOKES TYPE[J].Marine Sciences,2002,26(11):38-43.
Authors:MA Ru-jian  ZHAO Xi-ping
Abstract:The wave loading spectrum of the third order Stokes type random waves on circular cylinders is studied on this paper by means of nonlinear spectral analysis.The study is carried out by expressing the wave profile and velocities of water particles as a nonlinear composition of the first order wave profile.Under the assumption of the first order wave profile being zeromean Gaussian process,the random wave spectra of the random waves are given.In order to solve the loading spectra of the random waves,the drag force is extended into power series.The coefficients of the series are determined by means of nonlinear spectral analysis.The loadings of the random waves are then expressed as nonlinear compositions of the first order wave profile and its derivatives.Lastly,the spectral densities of the random wave loadings are given.The numerical computations are carried out to obtain the spectra of wave forces per unit pile length and the total wave forces on the vertical circular cylinder.
Keywords:Random waves  Wave loading spectrum  Series expression of drag forces  The third order Stokes wave theory
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