摘要：为了研究卧式行星磨筒内研磨体的运动规律,通过相对运动方程理论求解出研磨体的脱壁分离条件、脱落轨迹方程及研磨体的抛落时间等运动学规律。结果表明:卧式行星球磨机磨筒内研磨体的相对运动与传统球磨机内研磨体的运动完全运动相似和动力学相似;行星因子为z时,相似球磨机的直径是行星磨磨筒直径的z^1/4倍;运用相似原理证明了行星球磨机相对于普通球磨机的节能率为(1.29z^3/8-1)/(1.29z^3/8)。

关键词：球磨；行星磨；运动相似；动力学相似；粉磨节能

Abstract： To study the motion principles of grinding media in the vial of horizontal planetary ball mill, the relative motion equation was established to theoretically solve the detaching condition, trajectory and time. The results show that the grinding media in horizontal planetary ball mill and in traditional ball mill are completely motion similarity and dynamic similarity. When the planetary factor is z, the geometry sizes of planetary ball mill are z^1/4 times as those of traditional ball mill. The energy saving rate of planetary ball mill to traditional ball mill is proved to be (1.29z^3/8-1) /(1.29z^3/8) by the principle of similarity. 

Keywords: ball mill； planetary ball mill； motion similarity； dynamic similarity； energy-saving