统计共振理论在振动磨机中颗粒碰撞行为优化中的应用  

Application of Statistical Resonance Theory in Optimizing Particle Collision Behavior in Vibrating Mills

作　　者：姜志宏[1,2] 龚哲 JIANG Zhihong;GONG Zhe(School of Mechanical and Electrical Engineering,Jiangxi University of Science and Technology,Ganzhou 341000,Jiangxi,China;Jiangxi Province Engineering Research Center for Mechanical and Electrical of Mining and Metallurgy,Ganzhou 341000,Jiangxi,China)

机构地区：[1]江西理工大学机电工程学院,江西赣州341000 [2]江西省矿冶机电工程技术研究中心,江西赣州341000

出　　处：《有色金属（选矿部分）》2024年第8期115-121,共7页Nonferrous Metals（Mineral Processing Section）

基　　金：国家自然科学基金资助项目(52364025);江西省重点研发计划项目(20181ACE50034)。

摘　　要：振动磨机在粉体研磨领域中具有广泛的应用,其性能直接影响到产品的质量和生产效率。为优化振动磨机中颗粒的碰撞行为,提高振动磨机的研磨效率,结合统计共振理论对振动磨机进行动力学分析,发现当振动磨机的结构参数确定的情况下,统计共振效应的产生仅与振动磨机的激振频率、腔体内介质质量及介质影响系数有关。为进一步明确统计共振的发生条件,以填充率、颗粒粒径和振动频率为变量因素,对ZM-10型振动磨机磨腔内颗粒运动进行了三因素10水平的仿真模拟试验。通过分析仿真结果得到填充率、颗粒粒径和振动频率三种因素变化下平均碰撞频率及能量转移比率的变化趋势,并且发现在颗粒粒径和激振频率发生变化的过程中,出现了统计共振效应。运用统计共振理论,从碰撞的数量与质量两个维度对颗粒碰撞行为进行分析,发现当ZM-10型振动磨机的作业参数为填充率75%、激振频率16 Hz、磨介粒径8 mm时,颗粒的碰撞频率和能量转移比率为综合最高。通过实际的破碎试验验证,参数优化后的振动磨机的破碎效率提升了23.43%,同时,产品颗粒粒径的分布也得到了明显改善。这一研究为振动磨机工艺的优化提供了一种新的思路。The vibratory mill possesses diverse applications in the powder grinding sector.Its operational efficiency directly impacts production output and product quality.To enhance the particle collision behaviour and grinding efficiency of the vibrating mill,a kinetic analysis is conducted using statistical resonance theory.The study reveals that,upon determining the structural parameters of the vibrating mill,statistical resonance effects are solely influenced by the excitation frequency,quality of the medium in the chamber,and the medium's influence coefficient.Technical abbreviations will be explained upon first use.Consistent formatting and citation style will be applied throughout.To enhance the understanding of the conditions needed for statistical resonance,we conducted a simulation experiment on the movement of particles within the grinding chamber of the ZM-10 vibrating mill.This experiment consisted of three factors and ten levels,with filling rate,particle size,and vibration frequency as the variables.Through analysing the simulations,we have identified trends in the average collision frequency and energy transfer ratio as the filling rate,particle size and vibration frequency changed.It was discovered that statistical resonance effects occurred during the changes in particle size and excitation frequency.After subjecting the particle collision behaviour to statistical resonance theory,we observed that the collision frequency and energy transfer ratio of particles were highest during synthesis under specific operating parameters of the ZM-10 vibration mill,namely,75%filling rate,excitation frequency of 16 Hz,and grinding media with a particle size of 8 mm.The study conducted actual crushing experiments to verify that optimised parameters increased the vibration mill crushing efficiency by 23.43%.In addition,the distribution of product particle size was significantly improved.This research offers a novel approach for optimising the vibratory mill process.

关 键 词：振动磨机 统计共振 离散单元法 参数优化 

分 类 号：TD453[矿业工程—矿山机电]