基于分形理论的高压辊磨机出料粒度分布模型  

Models for the particle size distribution of high-pressure grinding rolls based on fractal theory

作　　者：许鹏云[1,2] 李晶[3] 罗衡[2] 叶红齐[1] XU Pengyun LI Jing LUO Heng YE Hongqi(College of Chemistry ＆ Chemical Engineering, Central South University, Changsha, Hunan 410083, China Hefei Cement Research and Design Institute, Hefei, Anhui 230051, China Basic Teaching Department, Nanchang Institute of Science and Technology, Nanchang, Jiangxi 330108, China)

机构地区：[1]中南大学化学与化工学院,湖南长沙410083 [2]合肥水泥研究设计院,安徽合肥230051 [3]南昌工学院基础教学部,江西南昌330108

出　　处：《中国矿业大学学报》2016年第5期1030-1037,共8页Journal of China University of Mining & Technology

基　　金：安徽省科技攻关项目(12010402C187);国家自然科学基金项目(21276284);南昌工学院科技计划项目(GJKJ-14-89)

摘　　要：为了研究高压辊磨机出料的粒度分布及其粉磨速率,采用分形理论方法,建立并验证了高压辊磨机出料粒度分布的数学模型,考察了高压辊磨机操作因素对该数学模型中唯一参数分形维数的影响,最后得到高压辊磨机粉磨速率的一般表达式.研究结果表明：该数学模型所得结果与试验值的最大误差为6.64%,最佳预测区间为0~5mm;高压辊磨机的工作压力与分形维数是非线性关系,分形维数随液压油缸压力的增加而增加,并在液压油缸工作压力达到临界点10MPa时停止增加;与此对应的是高压辊磨机的辊面转速对分形维数几乎无影响.The fractal method was introduced to study the particle size distribution and comminution rate of high-pressure grinding rolls（HPGR）. A mathematical model of particle size distribution was established and validated, and then fractal dimension which is the only parameter in this model was investigated by adjusting operating factors of HPGR. Finally, general expression of HPGR comminution rate was obtained based on this model. The results show that the maximum error between experimental value and result of the model is 6.64 % and the optimal prediction interval is 0-5 mm. The relationship between HPGR pressure and fractal dimension is nonlinear, the value of fractal dimension rises with the increasing HPGR pressure and stops at the tipping point of 10 MPa. Correspondingly, roller speed of HPGR has little impact on the fractal dimension.

关 键 词：高压辊磨机 分形理论 颗粒粒度分布 粉磨速率 模型 

分 类 号：TD451[矿业工程—矿山机电]