静载荷作用下颗粒破碎的分形统计规律研究

Study on Statistical Fractal Rule of Particle Breakage with Static Load

矿石颗粒外形的不规则、粒度的不均匀等因素致其与破碎设备的实际接触面积无法测定,导致单颗粒破碎时的实际破碎强度无法测定。为解决这一技术难点,对广西某碳酸锰矿石进行了单颗粒破碎及筛分研究,采用分形的方法,从单颗粒破碎后的分形维数入手,建立了单颗粒破碎过程中的实际抗压强度与颗粒粒径、分形维数之间的关系。结果表明:原料、返砂物料的单颗粒破碎后粒径的分形维数存在较大差异,建立了实际抗压强度与颗粒本身的单轴极限抗压强度、颗粒粒径、分形维数之间的函数关系式,利用统计规律有效地解决了工程颗粒实际破碎强度的计算问题。

Due to the particle shape is irregular and the size is non-uniformity,it is difficult to measure the real crushing strength of particle breakage by measuring actual contacting area. In order to solve this technical difficulty,a typical carbonate manganese ore which obtained from Guangxi was used in the simulation test of single-particle breakage. Further,fractal method was used to study the fractal dimension of broken ore in the simulation test. Finally,the relationship between crushing strength and parlicle＇s uniaxial limit comprehensive strength,particle size,fractal dimension was investigated. The study shows that greater exists in fractal dimension of raw ore and sand return,the relationship among crushing strength and particle size,fractal dimension was obtained. This formula can predict the real crushing strength of single particle breakage.