Abstract
Prediction of milling forces in peripheral milling of curved surface with variable curvature is complex. And the complexity arises due to the effects of cutter runout. This paper presents a method to predict milling force taking runout into account. Based on the concept of linear interpolation, methods are developed to calculate the instantaneous tool position, angular position, feed direction, and corresponding machining time. Then, a new analytical model of instantaneous uncut chip thickness is derived in the presence of cutter runout by coordinate transformation. In addition, the entry/exit angles are described considering the workpiece boundary. Milling tests are carried out to verify the presented method. A good agreement between predicted results and experimental results both in variation tendency and magnitude is achieved, which shows that the presented method is efficient. Meanwhile, comparative study with the existing method from literature is made.
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References
Martellotti ME (1941) An analysis of the milling process. J Eng Ind 63:677–700
Kline WA, DeVor RE, Lindberg JR (1982) The prediction of cutting forces in end milling with application to cornering cuts. Int J Mach Tools Manuf 22:7–22
Wang BS, Zuo JM, Wang ML, Hou JM (2012) Prediction of milling force based on numerical simulation of oblique cutting. Mater Manuf Process 27:1011–1016
Ko JH (2006) Plunge milling force model using instantaneous cutting force coefficients. Int J Precis Eng Manuf 7:8–13
Jayaram S, Kapoor SG, DeVor RE (2001) Estimation of the specific cutting pressures for mechanistic cutting force models. Int J Mach Tools Manuf 41:265–281
Wan M, Zhang WH, Qin GH, Wang ZP (2008) Consistency study on three cutting force modeling methods for peripheral milling. Proc Inst Mech Eng B J Eng Manuf 222:665–676
Bhattacharyya A, Schueller JK, Mann BP, Ziegert JC, Schmitz TL, Taylor FJ, Fitz-Coy NG (2010) A closed form mechanistic cutting force model for helical peripheral milling of ductile metallic alloys. Int J Mach Tools Manuf 50:538–551
Wang JJJ, Zheng CM (2002) An analytical force model with shearing and ploughing mechanisms for end milling. Int J Mach Tools Manuf 42:761–771
Merdol SD, Altinas Y (2004) Mechanics and dynamics of serrated cylindrical and tapered end mills. J Manuf Sci Eng 126:317–326
Gradusek J, Kalveram M, Weinert K (2004) Mechanistic identification of specific force coefficients for a general end milling. Int J Mach Tools Manuf 44:401–414
Adetoro OB, Wen PH (2006) Prediction of mechanistic cutting force coefficients using ALE formulation. Int J Adv Manuf Technol 46:79–90
Riviere-Lorphevre E, Filippi E (2009) Mechanistic cutting force model parameters evaluation in milling taking cutter radial runout into account. Int J Adv Manuf Technol 40:12–25
Kline WA, Devor RE (1983) Effect of runout on cutting geometry and forces in end milling. J Eng Ind 23:123–140
Schmitz TL, Couey J, Marsh E (2007) Runout effect in milling: surface finish, surface location error and stability. Int J Mach Tools Manuf 47:841–851
Seethaler RJ, Yellowley I (1999) Identification of radial runout in milling operations. J Manuf Sci Eng 121:524–531
Ko JH, Cho DW (2005) 3D ball-end milling force model using instantaneous cutting force coefficients. J Eng Ind 127:1–12
Rao VS, Rao PVM (2006) Effect of workpiece curvature on cutting forces and surface error in peripheral milling. Proc Inst Mech Eng B J Eng Manuf 220:1399–1407
Rao VS, Rao PVM (2005) Modeling of tooth trajectory and process geometry in peripheral milling of curved surfaces. Int J Mach Tools Manuf 45:617–630
Wei ZC, Wang MJ, Ma RG, Wang L (2010) Modeling of process geometry in peripheral milling of curved surface. J Mater Process Technol 21:799–806
Desai KA, Agarwal PK, Rao PVM (2009) Process geometry modeling with cutter runout for milling of curved surface. Int J Mach Tools Manuf 49:1015–1028
Cao QY, Xue DY, Zhao J, Li Y (2011) A cutting force model considering influence of radius of curvature for sculptured surface machining. Int J Adv Manuf Technol 54:821–835
Yang Y, Zhang WH, Wan M (2011) Effect of cutter runout on process geometry and force in peripheral milling of curved surfaces with variable curvature. Int J Mach Tools Manuf 54:420–427
Hao HY, Tang WC, Wang BS (2014) Two-step identification of instantaneous cutting force coefficients and cutter runout. Adv Mater Res 887–888:1179–1183
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Hao, H., Wang, B. & Tang, W. Prediction of instantaneous milling force taking runout into account in peripheral milling of curved surface. Int J Adv Manuf Technol 79, 49–56 (2015). https://doi.org/10.1007/s00170-015-6803-1
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DOI: https://doi.org/10.1007/s00170-015-6803-1