Stability of Non-separated Ultrasonic Vibration of Vertical Feed Direction Assisted Milling on Ti6Al4V
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摘要: 为了研究不分离型垂直进给方向超声振动辅助铣削加工的稳定性,建立了不分离型垂直进给方向超声振动辅助铣削系统的动力学模型。对该动力学模型采用了非线性周期函数的线性化理论、全离散法进行了研究。讨论了不分离型垂直进给方向超声振动辅助铣削的刀齿运动轨迹的特点,建立了瞬时切厚的模型,利用非线性方程的线性化理论建立了时滞微分方程。运用全离散法求解时滞微分方程,应用MATLAB7.1软件得出铣削系统的稳定性预测叶瓣图。通过加工钛合金Ti6Al4V进行不分离型垂直进给方向超声振动辅助铣削颤振实验并与普通铣削做了对比。结果表明:系统稳定性预测曲线与实验结果基本吻合;相同铣削参数下,不分离型垂直进给方向超声振动辅助铣削比普通铣削能提高系统稳定性,轴向切深最大增幅80%。Abstract: In order to study the stability of non-separated ultrasonic vibration of vertical feed direction assisted milling(NUVFAM), a dynamic model of the system is established based on the linearized theory of nonlinear periodic function and full-discretization method. Firstly, the characteristic of cutter tooth trajectory has been argued. The model of instantaneous chip thickness has been established. Then the time delay differential equations of non-separated ultrasonic vibration of vertical feed direction assisted milling have been deduced. Finally, the time delay differential equations are solved by full-discretization method. Stability prediction lobes diagrams of NUVAM systems are drawn by MATLAB7.1 software. The chatter experiments have been done under NUVFAM and normal milling on Ti6Al4V alloy. The results indicate the basic agreement of stability prediction lobes diagrams and the experimental conclusions. Under the same machining parameters, the system of NUVFAM is more stable than that of normal milling and the axial cutting depth values increase 80% at the largest.
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