RRB分布模型特征粒径和均匀性系数的准确计算

To accurately calculate cutting diameter of particles and factor n with RRB curve.

对于符合RRB分布模型的粉体特征粒径(De)和均匀性系数(n)的计算,根据应用实例,从离差平方和、剩余标准偏差、特征粒径计算值与实测值间的差距等方面,分析比较了几种计算方法的计算结果。结果表明:直接采用RRB分布方程的原数学形式(指数模型)并根据最小二乘法原理计算得到的结果,能够比较准确地反映粉体粒度分布的实际特征;而对原形式实行线性变换成“lnln-ln”形式后进行线性回归计算得到的结果则存在较大的偏差。

For the calculation of the characteristic diameter （Do） and homogeneous index （n） of the powders which conform to Rosin-Rammler-Bennet （RRB） particle size distribution model, the fitting values obtained by variant methods were compared by means of the sum of square error, the residual standard deviation, and the deviation between the fitting values and the measured ones. The results showed that the values, calculated by the least square method directly based on the original mathematical expression of RRB model may match to the real particle size distribution of powders comparatively, whereas large deviation existed if applying the linear regression calculation method based on the ＂lnln-ln＂ form of the RRB original mathematical expression.