立式旋转线切割加工电极丝动态行为理论研究

Dynamic Behaviors of the Wire During the Vertical WEDM with Rotating Wire

针对立式回转线切割加工,将电极丝简化成旋转细长轴,分析电极丝动态特性。应用Hamilton分析力学原理建立旋转电极丝的动力学方程,得到两个相互耦合的微分方程;通过求解微分方程的齐次部分,得出旋转电极丝正负进动速度的特性及临界转速,研究分析后发现在无外力作用的自由振动时,因旋转运动而产生了耦合方向的振动,因此需研究两个垂直面内的动态行为及相互之间的关系。同时还分析了旋转电极丝的临界转速,对于实际加工有重要的理论指导意义。

Based on the simplified model of rotating shaft, dynamic behaviors of the wire during the vertical WEDM with rotating wire has been studied in this paper. Two coupled dynamic motion equations was formulated first in the principle of Hamilton. By solving the differential equations, forward and backward whirling characteristics as well as the natural frequency of the rotating wire was concluded. As we can find that, because of the rotating motion, oscillation appears on both of the two plains perpendicularly. The higher of the order of the vibration and the higher speed of the rotation, the locus of the shaft center is more likely to be a circle. The critical rotating speed analysis has also been done here. All of the work is useful and helpful to the development of the new type WEDM.