摘要
引入考虑研磨介质形状和尺寸的致密度系数,对研磨介质填充率的质量计量法进行了修正。利用几何密排作图方法得到柱形研磨介质在磨筒内的六边形排布特征,给出了致密度系数的基础计算公式。导出筒壁空隙处能够继续填充研磨介质的判别条件,并利用三角形面积近似替代得到致密度系数的修正公式,其计算结果与几何密排作图结果之间的误差小于5%。球形研磨介质致密度的修正系数极值为0.6252,接近实验结果的0.61。应用算例表明,对研磨介质填充率的质量计量法进行修正是必要的。
Relative density coefficient considering the shape and size of grinding medium was introduced to modify the mass metric method of grinding medium filling rates. Hexagonal arrangement characteristics of cylindrical grinding medium in grinding cylinder were obtained by means of geometric close-packed drawing method, and the basic calculation formula of the relative density coefficient of grinding medium was given. Then, the discriminative conditions for continuous filling of grinding medium in wall gaps of the grinding cylinder were derived. Triangle area was used to approximately replace the total area of grinding medium in the gaps of the grinding cylinder, and the modified formula for calculating the density relative coefficient was obtained. Errors between the calculated results of theoretical formulas and the experimental results of geometric close-packing drawing are less than 5%. The limiting value of the modified formula for the relative density coefficient of spherical grinding medium is as 0.625 2, which is close to the experimental result 0.61. The calculating results of application examples show that it is necessary to modify the mass metric method of grinding medium filling rates.
作者
程敏
刘保国
刘彦旭
CHENG Min;LIU Baoguo;LIU Yanxu(School of Mechanical and Electrical Engineering,Henan University of Technology,Zhengzhou,450001;National Engineering Laboratory of Wheat & Corn Further Processing,Henan University of Technology,Zhengzhou,450001)
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2019年第18期2164-2171,共8页
China Mechanical Engineering
基金
NSFC-河南联合基金资助重点项目(U1604254)
小麦和玉米深加工国家工程实验室开放课题资助项目(NL2017010)
郑州市2016年度“智汇郑州·1125聚才计划”资助项目(创新领军团队)
关键词
振动磨机
研磨介质填充率
致密度系数
质量计量法
vibrating mill
grinding medium filling rate
relative density coefficient
mass metric method
