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目前破碎机的破碎模型一般由破碎函数和选择函数组成,破碎函数和选择函数相当于预测破碎颗粒尺寸分布的两个约束条件,满足约束条件并且熵值最大的分布就是最接近实际情况的分布。熵模型是以群体平衡原理为基础,应用最大信息熵方法,通过归一化条件处理,再引入能量平衡约束条件,并由拉格朗日乘数法推导出破碎函数的数学形式,再由转换函数和破碎函数推导出选择函数。通过圆锥破碎机试验破碎颗粒分布情况与熵模型计算结果进行比较,证明熵模型在液压圆锥破碎机颗粒分布情况的预测是可行和有效的。
At present, the crushing model of the crusher is generally composed of the crushing function and the selection function. The crushing function and the selection function are equivalent to two constraints for predicting the size distribution of the crushed particle. The distribution with the maximum entropy satisfying the constraint is the distribution closest to the actual situation. Entropy model is based on the principle of population balance, applying maximum information entropy method, through the normalization conditions, then introducing the energy balance constraints, and deducing the mathematical form of the fragmentation function by Lagrange multiplier method, The function and the fragmentation function deduce the selection function. Through the comparison of the distribution of crushed particles with the results of entropy model by the cone crusher, it is proved that the entropy model is feasible and effective in predicting the particle distribution of the hydraulic cone crusher.