【摘要】 本论文在最大熵原理的基础上,通过解一个条件变分问题导出一种适用于描述非瑞利海浪波高H统计分布的概率密度函数fn(H)=αHre-βHn,用实验室风浪槽中不同风速下和不同风区处实测的36组风浪波高数据对上述概率密度函数进行验证,并与至今仍被广泛应用的瑞利波高概率密度函数加以比较.结果显示瑞利概率密度函数显著地偏离实验数据,而上述概率密度函数则与各组实测波高分布均符合良好.更多还原

【Abstract】 A maximum entropy probability density function(PDF) for the wave height H of non-Rayleigh sea waves:fn(H)=αHγe-βHn,is derived by solving a conditional variation problem based on the maximum entropy principle.To test the validity,the maximum entropy distribution is compared with 36 observed distributions of wave heights measured at different wind speeds and different fetches in a wind-wave tunnel,along with the Rayleigh PDF which has been widely employed to describe the distribution of sea wave heights.The results showed that while the Rayleigh PDF deviated significantly from the observed distributions,this PDF agreed quite well with them.更多还原