短期风浪波高周期联合分布研究  

Joint distribution of wave height and period for short-term wind seas

作　　者：马永亮 高志扬 韩超帅 左青锋 陆国庆 MA Yong-liang;GAO Zhi-yang;HAN Chao-shuai;ZUO Qing-feng;LU Guo-qing(School of Shipping and Naval Architecture,Chongqing Jiaotong University,Chongqing 400074,China;School of Naval Architecture and Ocean Engineering,Jiangsu University of Science and Technology,Zhenjiang 212100,China)

机构地区：[1]重庆交通大学航运与船舶工程学院,重庆400074 [2]江苏科技大学船舶与海洋工程学院,江苏镇江212100

出　　处：《浙江大学学报（工学版）》2023年第6期1111-1119,共9页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(52001144);重庆市基础研究与前沿探索专项(自然科学基金)面上项目(cstc2019jcyj-msxmX0619);重庆市教育委员会科学技术研究项目(KJQN201900743)。

摘　　要：为了准确描述短期风浪波高周期的联合分布,采用条件概率方法提出新的联合分布模型,并给出新的波高周期联合概率密度函数表达式.该表达式仅包含有义波高、平均跨零周期2个参数,便于工程应用.以Pierson-Moscowitz (P-M)谱、布氏谱以及实测波浪谱为靶谱,采用余弦波叠加方法模拟短期波浪,统计分析得到波高周期的经验联合分布.以经验联合分布为基准,对提出的联合分布模型以及现有文献中5种联合分布模型进行对比分析.采用均方根误差评价所有模型与经验分布的匹配程度.均方根误差结果表明,在所有模型中所提模型与经验分布最接近.模型之间的差异,主要体现在周期分布上.在所有模型中,所提模型导出的周期分布与经验分布最接近.所提模型采用显式闭合公式表示,可采用Hermite变换、Rychlic变换,将该模型推广到非高斯波浪情况.A new joint distribution model was proposed by using the conditional probability method,and a new expression for the joint probability density function of wave height period was given,in order to accurately describe the joint distribution of wave high and period for short-term wind seas.Only two parameters were contained in the expression,the significant wave height and the mean cross zero period,which facilitated engineering applications.Taking the Pierson-Moscowitz(P-M)spectrum,the Bretschneider spectrum and the measured wave spectrum as the target spectrum,the short-term irregular waves were modelled as a sum of cosinoidal wave components.An empirical distribution of wave high and period was obtained through statistical analysis.The empirical joint distribution was used as the benchmark,and the proposed joint distribution models and five joint distribution models in the existing literature were compared and analyzed.The root-mean-square error was used to evaluate the degree of matching between all models and the empirical distribution.The results of the root-mean-square error indicate that the proposed model is closest to the empirical distribution in the all models.The difference between the models is mainly reflected in the distribution of period.Among all the models,the distribution of period derived from the proposed model is also closest to the empirical distribution.The proposed joint distribution is expressed by an explicit closed-form formula,it can be easily extended to non-Gaussian wave cases according to transform Gaussian methods such as Hermite transform and Rychlic transform.

关 键 词：波浪谱 单个波 周期分布 波高周期联合分布 短期海况 

分 类 号：P751[交通运输工程—港口、海岸及近海工程]