Prediction and analysis of size tolerances achievable in peripheral end milling

M. N. Islam1, Han Ul Lee2, Dong-Woo Cho2
1Department of Mechanical Engineering, Curtin University of Technology, Perth, Australia
2Department of Mechanical Engineering, Pohang University of Science and Technology, Pohang, South Korea

Tóm tắt

Size tolerance is the most critical parameter requiring attention for ensuring dimensional repeatability of manufactured component parts, yet very little research has been reported on this important topic. This paper presents a method for predicting size tolerances of component parts machined through peripheral end milling. The method makes use of prototype software based on previously reported cutting-force and surface-generation models in which the end mill is modelled as a cantilever beam rigidly gripped by the tool holder. It also takes into account the effect of size variation for the cutting tool. The method is validated through several cutting experiments. For further analysis, the method is employed for predicting the size tolerances of a prismatic component by varying one controllable variable at a time and then monitoring the relationship between size tolerance and the variable. When a distinct relationship is noted it is verified both analytically and experimentally. The results indicated that whilst the average size variation, which contributed to the variation of the basic size of component parts, is always proportional to the metal removal rate, the range of size variations that contributed to the size tolerance is not. Therefore, there is scope for increasing the metal removal rate without sacrificing the size tolerance. The knowledge acquired through this research can be applied for selecting an optimum cutting condition using the developed method when the size tolerances of component parts are specified.

Từ khóa


Tài liệu tham khảo

Australian Standard (1984) AS1100, technical drawing, part 201-1984, mechanical drawing. The Standards Association of Australia, Sydney ASME Y14.5-1994 (1999) Dimensioning and tolerancing. ASME, 1999, Reaffirmed Kline W, DeVor R (1983) The prediction of surface accuracy in end milling. J Eng Ind 104:272–278 López de Lacalle LN, Lamikiz A, Sánchez JA, Salgado MA (2007) Toolpath selection based on the minimum deflection cutting forces in the programming of complex surfaces milling. Int J Mach Tools Manuf 47:388–400 Armarego EJA, Despande NP (1991) Computerized end-milling force predictions with cutting models allowing for eccentricity and cutter deflections. Ann CIRP 40(1):25–29 DeVor RE, Sutherland JW, Kline WA (1983) Control of surface error in end milling. XI NAMRC Proc, pp 356–362 Matsubara T, Yamamoto H, Mizumoto H (1987) Study on accuracy in end mill operations: stiffness of end mill and machining accuracy in side cutting. Bull Jpn Soc Precis Eng 21(2):95–101, June Matsubara T, Yamamoto H, Mizumoto H (1978) Study on accuracy in end mill operations: machining accuracy in side cutting tests. Bull Jpn Soc Precis Eng 25(4):291–296 Budak B, Altintas Y (1994) Peripheral milling conditions for improved dimensional accuracy. Int J Mach Tools Manuf 34(7):907–918 Ong TS, Hinds BK (2003) The application of tool deflection knowledge in process planning to meet geometric tolerances. Int J Mach Tools Manuf 43:731–737 Kaneko J, Teramoto K, Onosato M, Takeuchi Y (2003) Cutting error prediction for end milling on the basis of actual depth of cut. Proc 9th Int Conf on Manufacturing Excellence, Melbourne, October 13th–15th, CD ROM Ryu SH, Lee HS, Chu CN (2003) The form error prediction in side wall machining considering tool deflection. Int J Mach Tools Manuf 43:1405–1411 Depince P, Hascoet J (2006) Active integration of tool deflection effects in end milling, part 1: prediction of milled surfaces. Int J Mach Tools Manuf 46:937–944 Melkote SN (1993) The modelling of surface texture in end milling process, PhD Thesis, Michigan Technological University Loue MS, Chen JC, Li CM (1999) Surface roughness prediction technique for CNC end milling. J Ind Technol 15(1)Nov 1998–Jan 1999. Accessed through Internet (12/12/2006), http://www.nait.org/jit/Articles/lou1198.pdf Dulga ZG, El Mounayri H, Gadallah M (2003) Accuracy prediction in flat end milling using neural network approach. Trans NAMRI/SME XXXI:459–466 Ryu SH, Choi Dk, Chu CN (2006) Roughness and texture generation on end milled surfaces. Int J Mach Tools Manuf 46:404–412 Gillespie LK (1982) End milling recommendations based on part accuracy needs. Tech Pap MR82-946, SME, Dearborn Islam MN (1995) A CMM-based geometric accuracy study of CNC end milling operations. Proc 6th Int Conf on Manufacturing Engineering, Melbourne, 29:835–841, Nov.1–Dec Koval MI, Igonin GA (1979) Comparative analysis of machining error components for a heavy NC machine tool. Mach Tool 50(9):9–13 Conway HG (1966) Engineering tolerances, 3rd edn. Sir Isaac Pitman & Sons Ltd., London Bjørke Ø (1989) Computer-aided tolerancing, 2nd edn. ASME Press, New York Farmer LE (1999) Dimensioning and tolerancing for function and economic manufacture. Blueprint Publ., Sydney Gladman CA (1972) Geometric analysis of engineering designs, 2nd edn. Australian Trad Publ. Pty. Ltd., Sydney Ko JH, Yun WS, Cho DW, Ehmann KF (2002) Development of a virtual machining system, part 1: approximation of the size effect for cutting force prediction. Int J Mach Tools Manuf 42:1595–1605 Yun WS, Ko JH, Cho DW, Ehmann KF (2002) Development of a virtual machining system, part 2: prediction and analysis of machined surface error. Int J Mach Tools Manuf 42:1607–1615 Yun WS, Ko JH, Lee HU, Cho DW, Ehmann KF (2002) Development of a virtual machining system, part 3: cutting process simulation in transient cuts. Int J Mach Tools Manuf 42:1617–1627 Yun WS (1999) A study on the cutting force model, surface error analysis, and cutting process simulation for a virtual machine tool. PhD Thesis, Pohang University of Science and Technology, South Korea Kalpakjian S, Schmid SR (2006) Manufacturing engineering and technology, 5th edn. Pearson Education South Asia Pte Ltd Ong TS, Hinds BK (2003) The application of tool deflection knowledge in process planning to meet geometric tolerances. Int J Mach Tools Manuf 43:731–737 Shirase K, Altintas Y (1996) Cutting force and dimensional surface error generation in peripheral milling with variable pitch helical end milling. Int J Mach Tools Manuf 36:567–584 Budak E (2006) Analytical models for high performance milling. part I: cutting forces, structural deformations and tolerance integrity. Int J Mach Tools Manuf 46:1478–1488 Salgado MA, López de Lacalle LN, Lamikiz A, Muñoa J, Sánchez JA (2005) Evaluation of the stiffness chain on the deflection of end-mills under cutting forces. Int J Mach Tools Manuf 45:727–739