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Jinbo NIU, Jinting XU, Fei REN, Yuwen SUN, Dongming GUO. A short review on milling dynamics in low-stiffness cutting conditions: Modeling and analysis[J]. Journal of Advanced Manufacturing Science and Technology , 2021, 1(1): 2020004. doi: 10.51393/j.jamst.2020004
Citation: Jinbo NIU, Jinting XU, Fei REN, Yuwen SUN, Dongming GUO. A short review on milling dynamics in low-stiffness cutting conditions: Modeling and analysis[J]. Journal of Advanced Manufacturing Science and Technology , 2021, 1(1): 2020004. doi: 10.51393/j.jamst.2020004

A short review on milling dynamics in low-stiffness cutting conditions: Modeling and analysis

doi: 10.51393/j.jamst.2020004
Funds:

This study was co-supported by the National Natural Science Foundation of China (Nos. 51905076 and 91948203), the China Postdoctoral Science and Foundation (No. BX20190054), and the Research Project of Science and Technology Commission of Shanghai Municipality (No. 18XD1421800).

  • Publish Date: 2021-01-11
  • The dynamic responses of milling system change the ideal trajectories of cutting teeth and therefore plays a critical role in determining the machining accuracy. The amplitude of cutting vibrations could reach tens of or even hundreds of micrometers in low-stiffness cutting conditions, for example, when milling thin-walled parts and/or using slender tools. Usually, moderate cutting parameters are utilized to avoid excessive cutting loads, strong milling chatter or large dynamic deflections, which however, significantly lowers the productivity. In spite of decades of study, it is still a challenge to accurately model, efficiently analyze, reliably monitor and precisely control the dynamic milling process in low-stiffness cutting conditions. In this paper, the recent advances and research challenges on dynamics modeling and response analysis are briefly reviewed.

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  • [1]
    . Schmitz TL, Smith KS. Machining Dynamics. Springer US; 2009.
    [2]
    . Niu JB, Jia JJ, Sun YW, et al. Generation Mechanism and Quality of Milling Surface Profile for Variable Pitch Tools Considering Runout. Journal of Manufacturing Science and Engineering. 2020;142(12):121001.
    [3]
    . Munoa J, Beudaert X, Erkorkmaz K, et al. Active suppression of structural chatter vibrations using machine drives and accelerometers. CIRP Annals. 2015;64(1):385-388.
    [4]
    . Mousavi S, Gagnol V, Bouzgarrou BC, et al. Dynamic modeling and stability prediction in robotic machining. The International Journal of Advanced Manufacturing Technology. 2017;88(9-12):3053-3065.
    [5]
    . Zhou X, Zhang DH, Luo M, et al. Toolpath dependent chatter suppression in multi-axis milling of hollow fan blades with ball-end cutter. The International Journal of Advanced Manufacturing Technology. 2014;72(5-8):643-651.
    [6]
    . Uriarte L, Zatarain M, Axinte D, et al. Machine tools for large parts. CIRP Annals. 2013;62(2):731-750.
    [7]
    . Wiercigroch M, Budak E. Sources of nonlinearities, chatter generation and suppression in metal cutting. Wiercigroch M, ed. Philosophical Transactions of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences. 2001;359(1781):663-693.
    [8]
    . Quintana G, Ciurana J. Chatter in machining processes: A review. International Journal of Machine Tools and Manufacture. 2011;51(5):363-376.
    [9]
    . Munoa J, Beudaert X, Dombovari Z, et al. Chatter suppression techniques in metal cutting. CIRP Annals - Manufacturing Technology. 2016;65(2):785-808.
    [10]
    . Totis G, Insperger T, Sortino M, et al. Symmetry breaking in milling dynamics. International Journal of Machine Tools and Manufacture. 2019;139(January):37-59.
    [11]
    . Honeycutt A, Schmitz TL. Milling Bifurcations: A review of literature and experiment. Journal of Manufacturing Science and Engineering. 2018;140(12):120801.
    [12]
    . Niu JB, Ding Y, Geng ZM, et al. Patterns of regenerative milling chatter under joint influences of cutting parameters, tool geometries, and runout. Journal of Manufacturing Science and Engineering. 2018;140(12):121004.
    [13]
    . Teti R, Jemielniak K, O’Donnell G, et al. Advanced monitoring of machining operations. CIRP Annals. 2010;59(2):717-739.
    [14]
    . Ding Y, Zhang XJ, Ding H. Harmonic differential quadrature method for surface location error prediction and machining parameter optimization in milling. Journal of Manufacturing Science and Engineering. 2015;137(2):024501.
    [15]
    . Stepan G, Hajdu D, Iglesias A, et al. Ultimate capability of variable pitch milling cutters. CIRP Annals. 2018;67(1):373-376.
    [16]
    . Bakker OJ, Papastathis TN, Popov AA, et al. Active fixturing: literature review and future research directions. International Journal of Production Research. 2013;51(11):3171-3190.
    [17]
    . Altintas Y. Manufacturing Automation. Cambridge: Cambridge University Press; 2012.
    [18]
    . Yang Y, Zhang WH, Ma YC, et al. Chatter prediction for the peripheral milling of thin-walled workpieces with curved surfaces. International Journal of Machine Tools and Manufacture. 2016;109:36-48.
    [19]
    . Eksioglu C, Kilic ZM, Altintas Y. Discrete-time prediction of chatter stability, cutting forces, and surface location errors in flexible milling systems. Journal of Manufacturing Science and Engineering. 2012;134(6):061006.
    [20]
    . Wan M, Ma YC, Zhang WH, et al. Study on the construction mechanism of stability lobes in milling process with multiple modes. The International Journal of Advanced Manufacturing Technology. 2015;79(1-4):589-603.
    [21]
    . Zhang XJ, Xiong CH, Ding Y. A new solution for stability prediction in flexible part milling. In: Lecture Notes in Computer Science. 2011.p.452-464.
    [22]
    . Seguy S, Dessein G, Arnaud L. Surface roughness variation of thin wall milling, related to modal interactions. International Journal of Machine Tools and Manufacture. 2008;48(3-4):261-274.
    [23]
    . Kilic ZM, Altintas Y. Generalized mechanics and dynamics of metal cutting operations for unified simulations. International Journal of Machine Tools and Manufacture. 2016;104:1-13.
    [24]
    . Lu YA, Ding Y, Zhu LM. Dynamics and stability prediction of five-axis flat-end milling. Journal of Manufacturing Science and Engineering. 2017;139(6):061015.
    [25]
    . Lazoglu I, Boz Y, Erdim H. Five-axis milling mechanics for complex free form surfaces. CIRP Annals. 2011;60(1):117-120.
    [26]
    . Li ZL, Niu JB, Wang XZ, et al. Mechanistic modeling of five-axis machining with a general end mill considering cutter runout. International Journal of Machine Tools and Manufacture. 2015;96:67-79.
    [27]
    . Kilic ZM, Altintas Y. Generalized modelling of cutting tool geometries for unified process simulation. International Journal of Machine Tools and Manufacture. 2016;104:14-25.
    [28]
    . Rubeo MA, Schmitz TL. Milling force modeling: A comparison of two approaches. Procedia Manufacturing. 2016;5:90-105.
    [29]
    . Kline WA, DeVor RE. The effect of runout on cutting geometry and forces in end milling. International Journal of Machine Tool Design and Research. 1983;23(2-3):123-140.
    [30]
    . Wan M, Zhang WH, Dang JW, et al. New procedures for calibration of instantaneous cutting force coefficients and cutter runout parameters in peripheral milling. International Journal of Machine Tools and Manufacture. 2009;49(14):1144-1151.
    [31]
    . Sun YW, Jiang SL. Predictive modeling of chatter stability considering force-induced deformation effect in milling thin-walled parts. International Journal of Machine Tools and Manufacture. 2018;135:38-52.
    [32]
    . Xu JT, Xu LK, Li YF, et al. Shape-adaptive CNC milling for complex contours on deformed thin-walled revolution surface parts. Journal of Manufacturing Processes. 2020;59:760-771.
    [33]
    . Engin S, Altintas Y. Mechanics and dynamics of general milling cutters. Part Ⅱ: inserted cutters. International Journal of Machine Tools and Manufacture. 2001;41(15):2213-2231.
    [34]
    . Bravo U, Altuzarra O, López De Lacalle LN, et al. Stability limits of milling considering the flexibility of the workpiece and the machine. International Journal of Machine Tools and Manufacture. 2005;45(15):1669-1680.
    [35]
    . Ewins DJ. Modal testing: Theory, practice and application. 2000.
    [36]
    . Schmitz TL, Donalson RR. Predicting high-speed machining dynamics by substructure analysis. CIRP Annals. 2000;49(1):303-308.
    [37]
    . Ertürk A, Özgüven HN, Budak E. Analytical modeling of spindle-tool dynamics on machine tools using Timoshenko beam model and receptance coupling for the prediction of tool point FRF. International Journal of Machine Tools and Manufacture. 2006;46(15):1901-1912.
    [38]
    . Du C, Zhang J, Lu D, et al. Coupled model of rotary-tilting spindle head for pose-dependent prediction of dynamics. Journal of Manufacturing Science and Engineering. 2018;140(8):081008.
    [39]
    . Chen GX, Li YG, Liu X. Pose-dependent tool tip dynamics prediction using transfer learning. International Journal of Machine Tools and Manufacture. 2019;137:30-41.
    [40]
    . Alan S, Budak E, Özgüven HN. Analytical prediction of part dynamics for machining stability analysis. International Journal of Automation Technology. 2010;4(3):259-267.
    [41]
    . Budak E, Tunç LT, Alan S, et al. Prediction of workpiece dynamics and its effects on chatter stability in milling. CIRP Annals. 2012;61(1):339-342.
    [42]
    . Song QH, Liu ZQ, Wan Y, et al. Application of Sherman–Morrison–Woodbury formulas in instantaneous dynamic of peripheral milling for thin-walled component. International Journal of Mechanical Sciences. 2015;96-97:79-90.
    [43]
    . Tuysuz O, Altintas Y. Frequency Domain updating of thin-walled workpiece dynamics using reduced order substructuring method in machining. Journal of Manufacturing Science and Engineering. 2017;139(7):071013.
    [44]
    . Tuysuz O, Altintas Y. Time-domain modeling of varying dynamic characteristics in thin-wall machining using perturbation and reduced-order substructuring methods. Journal of Manufacturing Science and Engineering. 2017;140(1):011015.
    [45]
    . Budak E, Altintaş Y, Armarego EJA. Prediction of milling force coefficients from orthogonal cutting data. Journal of Manufacturing Science and Engineering. 1996;118(2):216.
    [46]
    . Zhang X, Zhang W, Zhang J, et al. General modeling and calibration method for cutting force prediction with flat-end cutter. Journal of Manufacturing Science and Engineering. 2017;140(2):021007.
    [47]
    . Adetoro OB, Wen PH. Prediction of mechanistic cutting force coefficients using ALE formulation. The International Journal of Advanced Manufacturing Technology. 2010;46(1-4):79-90.
    [48]
    . Altintaş Y, Budak E. Analytical prediction of stability lobes in milling. CIRP Annals. 1995;44(1):357-362.
    [49]
    . Budak E, Altintaş Y. Analytical prediction of chatter stability in milling—Part I: General formulation. Journal of Dynamic Systems, Measurement, and Control. 1998;120(1):22-30.
    [50]
    . Merdol SD, Altintas Y. Multi frequency solution of chatter stability for low immersion milling. Journal of Manufacturing Science and Engineering. 2004;126(3):459-466.
    [51]
    . Sims ND, Mann B, Huyanan S. Analytical prediction of chatter stability for variable pitch and variable helix milling tools. Journal of Sound and Vibration. 2008;317(3-5):664-686.
    [52]
    . Otto A, Rauh S, Ihlenfeldt S, et al. Stability of milling with non-uniform pitch and variable helix Tools. The International Journal of Advanced Manufacturing Technology. 2017;89(9-12):2613-2625.
    [53]
    . Davies MA, Pratt JR, Dutterer B, et al. Stability prediction for low radial immersion milling. journal of manufacturing Science and Engineering. 2002;124(2):217-225.
    [54]
    . Bayly P V, Halley JE, Mann BP, et al. Stability of interrupted cutting by temporal finite element analysis. Journal of Manufacturing Science and Engineering. 2003;125(2):220-225.
    [55]
    . Insperger T, Stépán G. Semi-discretization method for delayed systems. International Journal for Numerical Methods in Engineering. 2002;55(5):503-518.
    [56]
    . Insperger T, Stépán G. Updated semi-discretization method for periodic delay-differential equations with discrete delay. International Journal for Numerical Methods in Engineering. 2004;61(1):117-141.
    [57]
    . Ding Y, Zhu LM, Zhang XJ, et al. A full-discretization method for prediction of milling stability. International Journal of Machine Tools and Manufacture. 2010;50(5):502-509.
    [58]
    . Ding Y, Zhu LM, Zhang XJ, et al. Numerical integration method for prediction of milling stability. Journal of Manufacturing Science and Engineering. 2011;133(3):031005.
    [59]
    . Insperger T, Stépán G, Turi J. On the higher-order semi-discretizations for periodic delayed systems. Journal of Sound and Vibration. 2008;313(1-2):334-341.
    [60]
    . Ding Y, Zhu LM, Zhang XJ, et al. Second-order full-discretization method for milling stability prediction. International Journal of Machine Tools and Manufacture. 2010;50(10):926-932.
    [61]
    . Quo Q, Sun YW, Jiang Y. On the accurate calculation of milling stability limits using third-order full-discretization method. International Journal of Machine Tools and Manufacture. 2012;62:61-66.
    [62]
    . Niu JB, Ding Y, Zhu LM, et al. Runge–Kutta methods for a semi-analytical prediction of milling stability. Nonlinear Dynamics. 2014;76(1):289-304.
    [63]
    . Butcher EA, Bobrenkov OA, Bueler E, et al. Analysis of milling stability by the chebyshev collocation method: algorithm and optimal stable immersion levels. Journal of Computational and Nonlinear Dynamics. 2009;4(3):31003.
    [64]
    . Ding Y, Zhu LM, Zhang XJ, et al. Stability analysis of milling via the differential quadrature method. Journal of Manufacturing Science and Engineering. 2013;135(4):1-7.
    [65]
    . Ding Y, Niu JB, Zhu LM, et al. Differential quadrature method for stability analysis of dynamic systems with multiple delays: application to simultaneous machining operations. Journal of Vibration and Acoustics. 2015;137(2):024501.
    [66]
    . Niu JB, Ding Y, Zhu LM, et al. Mechanics and multi-regenerative stability of variable pitch and variable helix milling tools considering runout. International Journal of Machine Tools and Manufacture. 2017;123:129-145.
    [67]
    . Dombovari Z, Stepan G. The Effect of helix angle variation on milling stability. Journal of Manufacturing Science and Engineering. 2012;134(5):051015.
    [68]
    . Dombovari Z, Altintas Y, Stepan G. The effect of serration on mechanics and stability of milling cutters. International Journal of Machine Tools and Manufacture. 2010;50(6):511-520.
    [69]
    . Wan M, Zhang WH, Dang JW, et al. A unified stability prediction method for milling process with multiple delays. International Journal of Machine Tools and Manufacture. 2010;50(1):29-41.
    [70]
    . Niu JB, Ding Y, Zhu LM, et al. Stability analysis of milling processes with periodic spindle speed variation via the variable-step numerical integration method. Journal of Manufacturing Science and Engineering. 2016;138(11):114501.
    [71]
    . Dombovari Z, Barton DAW, Eddie Wilson R, et al. On the global dynamics of chatter in the orthogonal cuttingmodel. International Journal of Non-Linear Mechanics. 2011;46(1):330-338.
    [72]
    . Balachandran B. Nonlinear dynamics of milling processes. Philosophical Transactions of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences. 2001;359(1781):793-819.
    [73]
    . Tlusty J, Ismail F. Basic Non-linearity in machining chatter. CIRP Annals. 1981;30(1):299-304.
    [74]
    . Smith S, Tlusty J. Efficient simulation programs for chatter in milling. CIRP Annals. 1993;42(1):463-466.
    [75]
    . Campomanes ML, Altintas Y. An improved time domain simulation for dynamic milling at small radial immersions. Journal of Manufacturing Science and Engineering. 2003;125(3):416-422.
    [76]
    . Schmitz TL, Couey J, Marsh E, et al. Runout effects in milling: Surface finish, surface location error, and stability. International Journal of Machine Tools and Manufacture. 2007;47(5):841-851.
    [77]
    . Sims ND. The self-excitation damping ratio: a chatter criterion for time-domain milling simulations. Journal of Manufacturing Science and Engineering. 2005;127(3):433.
    [78]
    . Biermann D, Kersting P, Surmann T. A general approach to simulating workpiece vibrations during five-axis milling of turbine blades. CIRP Annals. 2010;59(1):125-128.
    [79]
    . Surmann T, Biermann D. The effect of tool vibrations on the flank surface created by peripheral milling. CIRP Annals. 2008;57(1):375-378.
    [80]
    . Yang D, Liu ZQ. Surface plastic deformation and surface topography prediction in peripheral milling with variable pitch end mill. International Journal of Machine Tools and Manufacture. 2015;91:43-53.
    [81]
    . Xu JT, Xu LK, Geng Z, et al. 3D surface topography simulation and experiments for ball-end NC milling considering dynamic feedrate. CIRP Journal of Manufacturing Science and Technology. DOI:  10.1016/j.cirpj.2020.05.011.
    [82]
    . Schmitz TL, Mann BP. Closed-form solutions for surface location error in milling. International Journal of Machine Tools and Manufacture. 2006;46(12-13):1369-1377.
    [83]
    . Bachrathy D, Insperger T, Stépán G. Surface properties of the machined workpiece for helical mills. Machining Science and Technology. 2009;13(2):227-245.
    [84]
    . Li ZY, Jiang SL, Sun YW. Chatter stability and surface location error predictions in milling with mode coupling and process damping. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture. 2019;233(3):686-698.
    [85]
    . Ding Y, Zhu LM, Zhang XJ, et al. On a numerical method for simultaneous prediction of stability and surface location error in low radial immersion milling. Journal of Dynamic Systems, Measurement, and Control. 2011;133(2):024503.
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