Chatter problems in milling severely affect productivity and quality of machining. Tool wear causes cutting force coefficient, process damping coefficient, and other parameters to change with cutting time. These variations significantly reduce the accuracy of chatter prediction using conventional methods. To solve this problem, the time-varying reliability theory was introduced, and Gamma process was used to describe the relationship between tool edge radius and cutting time. The models for a micro milling system’s cutting force coefficients, time-varying stability and time-varying reliability were established. The changes of the system’s chatter stability and chatter reliability with cutting time under the given conditions were analyzed. The system’s chatter time-varying stability and chatter time-varying reliability were investigated under given cutting depths and spindle speeds. The results of case study showed that with increase in cutting time, the system’s chatter stability drops gradually; the proposed method can be used to predict the system’s chatter stability more accurately within different cutting time intervals.
刘宇1 王振宇1 杨慧刚2 张义民1. 微铣削中考虑时变切削力系数的颤振稳定性预测[J]. 振动与冲击, 2018, 37(3): 160-166.
LIU Yu1 WANG zhenyu1 YANG Huigang2 ZHANG Yimin1. Chatter stability prediction for micro-milling processes with time-varying cutting force coefficients. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(3): 160-166.
[1]. TLUSTY. Analytical Prediction of Stability Lobes in Milling[J]. Reliability Engineering & System Safety, 1995, 44(2): 357~362.
[2]. ALTINTA Y, BUDAK E. Analytical Prediction of Stability Lobes in Milling[J]. CIRP Annals - Manufacturing Technology, 1995, 44(1): 357~362.
[3]. ELBEYLI , SUN J Q, Ünal G. A semi-discretization method for delayed stochastic systems[J]. Communications in Nonlinear Science and Numerical Simulation, 2005, 10(1): 85~94.
[4]. DING Y, Zhu L, Zhang X, et al. A full-discretization method for prediction of milling stability[J]. International Journal of Machine Tools and Manufacture, 2010, 50(5): 502~509.
[5]. DUNCAN GS, T SCHMITZ et al, Uncertainty propagation for selected analytical milling stability limit analyses . NAMRI/SME 2006.
[6]. ZHANG X., DING H., et al 2012. Numerical robust optimization of spindle speed for milling process with uncertainties,” International Journal of Machine Tools and Manufacture, 2010 (61), 9–19,.
[7]. S S Park, R Rahnama. Robust chatter stability in micro-milling operations[J]. CIRP Annals - Manufacturing Technology, 2010, 59(1): 391~394.
[8]. SIMS N D, MANSON G, Mann B. Fuzzy stability analysis of regenerative chatter in milling[J]. Journal of Sound and Vibration, 2010, 329(8): 1025~1041.
[9]. TOTIS G. RCPM—A new method for robust chatter prediction in milling[J]. International Journal of Machine Tools and Manufacture, 2009, 49(3-4): 273~284.
[10]. LIU Yu. Mechanical Systems and Signal Processing[J]. Mechanical Systems and Signal Processing, 2016.66–67(3): 232–247,
[11]. Li H Z, ZENG H, CHEN X Q. An experimental study of tool wear and cutting force variation in the end milling of Inconel 718 with coated carbide inserts[J]. Journal of Materials Processing Technology, 2006, 180(1-3): 296~304.
[12]. KARANDIKARJ. M, Zapata R. E,. Schmitz, “combining tool wear and stability in high-speed machining 2008
[13]. BIERMANN D, BASCHIN A. Influence of cutting edge geometry and cutting edge radius on the stability of micromilling processes[J]. Production Engineering, 2009, 3(4-5): 375~380.
[14]. AFAZOV S M, RATCHEV S M, Segal J. Modelling and simulation of micro-milling cutting forces[J]. Journal of Materials Processing Technology, 2010, 210(15): 2154~2162.
[15]. AFAZOV S M, ZDEBSKI D, Ratchev S M, et al, Effects of micro-milling conditions on the cutting forces and process stability. In 2013.13:671~684.
[16]. ALTINTAS,XL J in. Chatter Stability Model of Micro-Milling With Process Damping[J]. 2013. 135: 1–9
[17]. 李常有, 张义民, 王跃武. 恒定加工条件及定期补偿下的刀具渐变可靠性灵敏度分析方法[J]. 机械工程学报, 2012, (12): 162~168.
LI C., Gradual Reliability and Its Sensitivity Analysis Approach of Cutting Tool in Invariant Machining Condition and Periodical Compensation, Journal of Mechanical Engineering, 2012, (12): 162~168.
[18]. VAN Noortwijk J M, Van der Weide J A M, Kallen M J, et al. Gamma processes and peaks-over-threshold distributions for time-dependent reliability[J]. Reliability Engineering & System Safety, 2007, 92(12): 1651~1658.
[19]. Moriwaki T, Tobito M. A new approach to automatic detection of life of coated tool based on acoustic emission measurement, ASME Winter Annual Meeting, Sens Controls Manuf, Chicago, 33, 1988.75-82.
[20]. M. Malekian, S.S. Park, M.B.G. Jun, International Journal of Machine Tools & Manufacture Modeling of dynamic micro-milling cutting forces, 49 (2009) 586–598.
[21]. T. Thepsonthi, T. Özel,3-D Finite Element Process Simulation of Micro-end Milling Ti-6Al-4V Titanium Alloy: Experimental Validations on Chip Flow and Tool Wear, Journal of Materials Processing Technology. 221 (2015) 128–145.