doi:10.16186/j.cnki.1673-9787.2022050038

Received:2022-05-12

Revised:2022-10-09

Online Date:2022-11-07

Stability study on ultrasonic elliptical vibration milling titanium alloy（Online）

ZHANG Yuemin, GUO Haiyun, JIA Hewei, WANG Xiaobo

School of Mechanical and Power Engineering，Henan Polytechnic University，Jiaozuo 454000，Henan，China

Abstract:In order to realize no chatter in milling titanium alloy materials， ultrasonic elliptical vibration milling was put forth and studied on stability analysis. Because ultrasonic elliptical vibration milling （UEVM） system had a characteristic of high frequency intermittent cutting， it was difficult to achieve instantaneous chip thickness. The motion trajectories of tool tip were simulated and analyzed in UEVM system. According to trajectory character of tool tip， the coordinate method was put forth for establishing window function to predict and solve instantaneous chip thickness in UEVM system. Then using linear theory of nonlinear periodic function， the dynamic model of UEVM had been established and solved by full-discretization method. The critical cutting depth corresponding to different rotational speeds was obtained by the Floquet theorem．The stability prediction lobes diagrams were constructed. Final， stability tests of UEVM had been carried out on titanium alloy workpieces. The experimental results showed that the limit values of axial cutting depth and the stability areas of UEVM were increasing with the rising of spindle speed. When the speed was less than 3 000 r/min， the axial cutting depth of UEVM under no chatter was up to 50% higher than that of ordinary milling. The experimental results coincided with the numerical simulation. It showed that the proposed window functi.on was correct， the theoretical model was valid and the prediction stability curves was feasible and reliable.

Key words:stability analysis;ultrasonic elliptical vibration milling;coordinate method;titanium alloy

CLC: TG54