中文摘要：

对振动磨机离散磨介群进行高速摄影试验观察，在分析、简化和假设的基础上，借鉴流体力学和弹性力学方法建立了振动磨机离散磨介群动力学数学模型；讨论和导出了只考虑正向碰撞而忽略剪切作用，以及只考虑剪切作用而忽略正向碰撞这两种极端状况下的振动磨机离散磨介群动力学方程。

英文摘要：

By means of experimental observation for high-speed cinematography of disperse milling medium group, numerical dynamics model of disperse milling medium group about vibration mill was established by using the theories of elasticity mechanics and hydrodynamics for reference,based on analysis,simplification and supposition. And the dynamics equation had also been discussed and educed under two extremely conditions：one just considering frontal impacting and ignoring cut effect, but the other reverse rightly.