Abstract
This research investigates adaptive sampling for determining form errors found in milled parts. Adaptive sampling saves time and cost because it lowers the number of inspection points. Optimizing the inspection points improves the productivity of the manufacturing process. Primarily, the workpiece errors are modeled in milling flat plates using a consideration of process variables. The model force is applied, theoretically, using finite element software on a flat plate to obtain the workpiece deflection at specific points. The cutter deflection and the workpiece deflection are added to obtain the dimensional error on the flat plate. This model error becomes the basis for a search procedure to determine the locations of maximum error. The ensuing optimum sampling heuristic supposes that if the tolerance zone for a specific area is high, there is a high likelihood of finding points of high dimensional errors in its vicinity. The tolerance zone obtained thus is compared to that obtained using a uniform grid of points. Experimental results indicate that a finite reduction in the number of sample points can be achieved using this knowledge-based search.
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References
Kline WA, DeVor RE, Shareef IA (1982) The prediction of surface accuracy in end Milling. J Eng Ind Trans ASME 104:272–278
DeVor RE, Kline WA, Zdeblick WJ (1980) A mechanistic model for the force system in end milling with application to machining airframe structures. Manufacturing Engineering Transactions 297-303
Kline WA, DeVor RE (1983) Effect of runout on cutting geometry and forces in end milling. Int J Mach Tool Des Res 23(2–3):123–140
Sutherland JW (1988) Dynamic model of the cutting force system in the end-milling process. American Society of Mechanical Engineers, Production Engineering Division (Publication) PED 33:53–62
Elbestawi MA, Ismail F, Du R, Ullagaddi BC (1994) Modeling machining dynamics including damping in the tool-workpiece interface. J Eng Ind Trans ASME 116(4):435–439
Rangananth S, Sutherland JW (2002) An improved method for cutter runout modeling in the peripheral milling process. Mach Sci Technol 6(1):1–20
Yellowley I (1988) A note on the significance of the quasi-mean resultant force and the modeling of instantaneous torque and forces in peripheral milling operations. ASME J Eng Ind 110:300–303
Kline WA, DeVor RE, Lindberg JR (1982) The prediction of cutting forces in end milling with application to cornering cuts. Int J Mach Tool Des Res 22(1):7–22
DeVor RE, Sutherland JW, Kline WA (1983) Control of surface error in end milling. Manufacturing Engineering Transactions. 356-362.
Sutherland JW, DeVor RE (1986) An improved method for cutting force and surface error prediction in flexible end milling systems. J Eng Ind 108:269–279
Kim GM, Kim BH, Chu CN (2003) Estimation of cutter deflection and form error in ball-end-milling processes. Int J Mach Tools Manuf 43:917–924
Ratchev S, Liu S, Huang W, Becker AA (2004) Milling error prediction and compensation in machining of low-rigidity parts. Int J Mach Tools Manuf 44:1629–1641
Wan M, Zhang WH, Qin GH, Wan ZP (2008) Strategies for error prediction and error control in peripheral milling of thin-walled workpiece. Int J Mach Tools Manuf 48:1366–1374
Wan M, Zhang WH, Qin GH, Tan G (2007) Efficient calibration of instantaneous cutting force coefficients and runout parameters for general endmills. Int J Mach Tools Manuf 47:1767–1776
Wan M, Zhang WH, Tan G, Qin GH (2007) An in-depth analysis of the synchronization between the measured and predicted cutting forces for developing instantaneous milling force model. Int J Mach Tools Manuf 47:2018–2030
Ratchev S, Govender E, Nikov S (2002) Towards deflection prediction and compensation in machining of low-rigidity parts. IMechE 2002 Proc Instn Mech Engrs 216(Part B):129–134
Zhang L, Zheng L, Zhang Z-H (2003) An investigation of cutting forces in horizontal-mode peripheral milling of curved surfaces. IMechE 2003, Proc. Instn Mech. Engrs Vol. 217 Part B: J. Engineering Manufacture.
Huang BW, Cai JZ, HsiaoWL (2010) Cutting force estimation in a micromilling process. Proc. IMechE 2010, Vol. 224 Part B: J. Engineering Manufacture
Kim W-S, Raman S (2000) On the selection of flatness measurement points in coordinate measuring machine inspection. Int J Mach Tools Manuf 40(3):427–443
Dowling MM, Griffin PM, Tsui K-L, Zhou C (1995) A comparison of the orthogonal least squares and minimum enclosing zone methods for form error estimation. ASME Manuf Rev 8(2):120–138
Dowling MM, Griffin PM, Tsui K-L, Zhou C (1997) Statistical issues in geometric feature inspection using coordinate measuring machines. ASA & ASQC Technometrics 39(1):3–17
Lin Z-C, Chen C-C (1997) Study of the automatic planning of measurement points with basic element features. Int J Prod Res 35(11):3157–3178
Namboothiri VN, Shunmugam MS (1999) On determination of sample size in form error evaluation using coordinate metrology. Int J Prod Res 37(4):793–804
Yau H-T, Menq C-H (1992) Automated dimensional inspection environment for manufactured parts using CMMs. Int J Prod Res 30:1517–1536
Woo TC, Liang R, Hsieh C-C, Lee NK (1995) Efficient sampling for surface measurements. J Manuf Syst 14(5):345–354
Zhang YF, Nee AYC, Fuh JYH, Neo KS, Loy HK (1996) A neural network approach to determining optimal inspection sampling size for CMM. Comput Integr Manuf Syst 9(3):161–169
Uppliappan B, Raja J, Hocken RJ, Chen K (1997) Sampling methods and substitute geometry algorithms for measuring cylinders in coordinate measuring machine. Trans NAMRI/SME XXV:353–358
Cho MW, Kim K (1995) New inspection planning strategy for sculptured surfaces using coordinate measuring machine. Int J Prod Res 33(2):427–44
Pahk HJ, Jung MY, Hwang SW, Kim YH, Hong YS, Kim SG (1995) Integrated precision inspection system for manufacturing of moulds having CAD defined features. Int J Adv Manuf Technol 10(3):198–207
Fan K-C, Leu MC (1998) Intelligent planning of CAD-directed inspection for coordinate measuring machines. Comput Integr Manuf Syst 11(1–2):43–51
Lee G, Mou J, Shen Y (1997) Sampling strategy design for dimensional measurement of geometric features using coordinate measuring machine. Int J Mach Tools Manuf 37(7):917–934
Badar MA, Raman S, Pulat PS (2005) Experimental verification of manufacturing error pattern and its utilization in form tolerance sampling. Int J Mach Tools Manuf 45:63–73
Badar MA, Raman S, Pulat PS, Shehab RL (2005) Experimental analysis of search-based selected of sample points for straightness and flatness estimation. Trans ASME J Manuf Sci Eng 127:96–103
Badar, MA (2002) An intelligent search-based methodology for selection of sample points for form error estimation. PHD Dissertation, University of Oklahoma, Norman, Oklahoma
Martellotti ME (1945) An, analysis of the milling process. II. Down-milling. Trans ASME 67:233–251
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Obeidat, S.M., Raman, S. Process-guided coordinate sampling of end-milled flat plates. Int J Adv Manuf Technol 53, 979–991 (2011). https://doi.org/10.1007/s00170-010-2885-y
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DOI: https://doi.org/10.1007/s00170-010-2885-y