Ore Crushing in the High-pressure Roller-Press as a Modelling Object Under Stochastic Properties of Feed Materials

T. Oliinyk, P. Nikolaienko, K. Nikolaienko, Maksym Oliinyk
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Abstract

The results of improving ore crushing in a high-pressure roller-press are presented. Application of a roller-press enables higher crushing efficiency due to both power saving and reduction of sizes of ore crush products to release mineral aggregates. Ore disintegration by compressive strain prevails among currently applied crushing methods. Disintegration occurs not only due to the compressive, but also to the shear strain. Considering smaller power consumption of the shear strain than that of the compressive strain, it is concluded that roller-press application is quite efficient. Simulation of crushing by using the Bond law frequently applied in practice is under consideration. It is essential to consider the stochasticity of the ore flow to be crushed. Presentation of this flow as a random figure by transforming it by the Bond crushing law results in a probabilistic characteristic of the crushing result. This characteristic enables finding properties of the crush product and probabilistic formulation of the problem of improving the crushing process by setting a relevant functional. To apply the results obtained to practical uses, the crushing process is simulated. The theoretical results are confirmed by setting the stochastic properties of the input ore flow by means of Rosen-Rammler’s law followed by statistical substantiation of the conducted calculations in Mathcad. After stimulation and considering stochastic properties of the feed ore flow, the solution of the optimal stabilization problem reveals that stabilization is achieved, while dispersion in relation to the stabilization goal reduces sharply almost five-fold
基于物料随机特性的高压辊压机破碎模型研究
介绍了改进高压辊压机粉碎矿石的效果。辊压机的应用可以提高破碎效率,因为它既节省了电力,又减少了矿石破碎产品的尺寸,从而释放出矿物集料。压应变破碎是目前常用的破碎方法之一。除了压缩应变外,还会发生剪切应变的崩解。考虑到剪切应变的功率消耗小于压缩应变的功率消耗,认为辊压机的应用是非常有效的。研究了用实际中常用的Bond定律模拟破碎的方法。必须考虑待破碎矿流的随机性。用Bond破碎律将该流变换为随机图形,使其具有破碎结果的概率特征。这一特性使我们能够找到破碎产物的特性,并通过设置相关的函数来改进破碎过程的问题的概率公式。为了将所得结果应用于实际,对破碎过程进行了模拟。利用罗森-拉姆勒定律设定输入矿流的随机性质,并在Mathcad中对所进行的计算进行统计证实,从而证实了理论结果。在考虑给矿流随机特性的条件下,对最优稳定化问题进行了求解,得到了较好的稳定化效果,与稳定化目标相关的离散度急剧降低了近5倍
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