摘要：为了得到更高精度的粒度特性方程,引入包含偏斜系数的广义正态分布,以广义正态分布为基础,构建包含偏斜系数的三参数粒度特性方程,并与常见的几种粒度特性方程进行比较。结果表明,广义正态分布对粒度组成具有更高的拟合精度,且粒度区间为与实际相符的有限区间;包含偏斜系数的广义对数正态分布是一个良好的三参数粒度特性方程。

关键词：广义正态分布；粒度特性方程；偏斜系数

Abstract：To obtain the particle size distribution function with higher fitting precision,the generalized normal distribution containing a skew coefficient was introduced.Based on the generalized normal distribution,three-parameter particle size distribution functions containing a skew coefficient were built,which were compared with several common functions.The results show that the generalized normal distribution can get higher fitting precision.The particle size range is consistent with the actual situation.The generalized log-normal distribution containing a skew coefficient is a good three-parameter particle size distribution function.

Keywords：generalized normal distribution;particle size distribution function;skew coefficient