针对高速电主轴系统具有复杂机电系统的特点,提出对高速电主轴系统进行机电耦合分析的观点。提炼并归纳了高速电主轴系统中存在的多物理过程、多参数耦合现象,给出高速电主轴系统全局耦合关系的框图。通过分析高速电主轴电动机-主轴子系统的结构及其耦合情况,得到了该子系统的机电耦合关系框图,并建立其物理模型。基于机电系统分析动力学理论,采用变分原理法,应用拉格朗日方程建立电动机-主轴子系统的电压方程和机械运动方程,将两组方程联立得到与该子系统物理模型相对应的数学模型,导出子系统的动力学方程,为进一步研究高速电主轴系统的机电耦合动力学性能提供理论基础。
Based on that high speed motorized spindle system has characteristics of the complex electromechanical system, the view of electromechanical coupling analyses on high speed motorized spindle is put forward. Coupling phenomena of several physical processes and parameters multidimensional coupling that exist in the high speed motorized spindle system are extracted and summed up. Global coupling relation block diagram of high speed motorized spindle system is given. The configuration and coupling situation of high speed motorized spindle's motor-spindle subsystem are analyzed. The coupling relation block diagram of the subsystem is gained and the physical model of the subsystem is also set up. Founded on the electromechanical system dynamics theory and the variational principle, voltage equation and mechanical movement equation are built up by Lagrange equation. Simultaneous equations of voltage equation and mechanical movement equation are the mathematical model of the subsystem. So the dynamical equation of the subsystem is educed, which provides the theoretical basis for further research on the electromechanical coupled dynamical performance of high speed motorized spindle system.