ZHANG Y M, GUO H Y, JIA H W, et al.Stability study on ultrasonic elliptical vibration milling titanium alloy[J].Journal of Henan Polytechnic University(Natural Science) ,2024,43(4):117-125.

doi:10.16186/j.cnki.1673-9787.2022050038

Received:2022/05/12

Revised:2022/09/29

Published:2024/07/05

Stability study on ultrasonic elliptical vibration milling titanium alloy

ZHANG Yuemin, GUO Haiyun, JIA Hewei, WANG Xiaobo

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

Abstract:Ultrasonic elliptical vibration milling（UEVM） is a good machining technique of reducing cutting force，improving workpiece surface quality，restraining chatter and increasing product efficiency. Objectives In order to realize no chatter in milling titanium alloy materials，  Methods the method of UEVM was put forth and studied on system stability analysis.The UEVM system had a characteristic of high frequency intermittent cutting，the modal of instantaneous chip thickness was different to ordinary milling.The motion formula of tool tip were simulated by MATLAB software and the motion trajectories were analyzed in UEVM system for solving the true instantaneous chip thickness.According to the 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，by using linear theory of nonlinear periodic function，the dynamic model of UEVM had been established.The eigenvalues of the transition matrix were solved by full-discretization method.The system stability was predicted and critical cutting depth corresponding to different rotational speeds was obtained by the Floquet theorem．The stability prediction curves of UEVM system and ordinary milling system were constructed，and the chatter tests had been carried out to verify and analyze the curves.  Results The limit values of axial cutting depth and the stability areas of UEVM were increasing with the rising of spindle speed.When the speed reached 6 000 r/min，the axial cutting depth of UEVM was increasing sharply.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.  Conclusions The experimental results coincided with the numerical simulation.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