【摘要】 基于非线性随机海浪模型，对各向异性波面斜率统计分布进行了理论研究。结果表明：在高阶近似下，波面斜率统计分布为截断的Ｇｒａｍ－Ｃｈａｒｌｉｅｒ级数，如果忽略波－波相互作用的非线性影响，则Ｃｒａｍ－Ｃｈａｒｌｉｅｒ级数分布蜕化为正态分布。更多还原

【Abstract】 The non-Gaussian theory of Sun Fu(1994), a statistical distribution of surface elevation, is extended here to obtain the joint distribution of edsotropy surface slopes for a weakly nonlinear model of random sea waves by applying the method of calculating directly each coupling moment. It is shown that in higher approximation of sea surface, the distribution can be given by the truncated Gram-Charlier series. The types of wave-wave coupling interactions are connected with the other of approximation to nonlinearity of sea surface, which eventually defines the truncated term of the Gram-Charlier series. For each other of approximation, the coefficients in the series are modified comparatively to the corresponding ones for the previous other approximation. The distribution reduces to Gaussin if the effect of nonlinear wave-wave coupling interation is excluded.更多还原