基于数值积分的车削加工时域仿真

Turning Time-Domain Simulation Based on Numerical Integration

建立了车削加工系统z向单自由度动力学模型,试验测试获得了CJ0625车床的刀架频响函数,并辨识获得结构动态特性参数.采用一种变步长方法进行时域仿真研究,该算法可以根据计算点主轴转速动态调整仿真步长,保证算法收敛,满足仿真结果精度要求.基于Matlab平台设计并编写了车削加工时域仿真软件.对时域仿真方法与频域颤振预测方法(叶瓣图法)进行了比较研究.给出了稳定切削、临界稳定以及颤振情况下的振动位移变化曲线.结果表明两种方法获得的车削加工绝对稳定切削深度误差小于6.07%.

A single degree of freedom dynamic model in z direction for turning machine system was established. The frequency response function of the tool holder of CJ0625 turning machine was obtained through the hammer test, with the dynamic parameters identified. The time-domain simulation was conducted using a variable stepsize method that can dynamically adjust the stepsize according to the spindle speed and thus ensure the algorithm convergence and required accuracy. The software for the time-domain simulation of the turning process was designed and written based on the Matlab platform. The time-domain solution method was compared with the frequency domain flutter prediction method （stability lobe diagram）, and the displacement vs time history curves of vibration were given under the conditions of stable cutting, critical stable cutting and unstable cutting. The results show that the errors of absolute stable cutting widths determined using these two methods are both below 6.07%.