A Nonlinear Mathematical Model for Turning Parameter Optimization Based on Minimum Production Cost

Abstract:

Cutting parameters including cutting speed, feed rate, depth of cut and the number of passes have significant influence on both machining quality and machining economics. Cutting parameter optimization involves optimal selection of a combination of these parameters. It is an essential part of a computer-aided manufacturing system. In this paper, an optimization model based on minimum production cost for multi-pass turning operations is developed. Various realistic machining conditions and machining requirements are incorporated in the model as constraints. Optimal solutions are found by a nonlinear programming solution approach. A turning example is presented to test the model. Compared with the literature and the cutting regimes recommended in machining data handbook, our model and solution method are simple and generate much lower unit production costs.

• Periodical: Advanced Materials Research (Volumes 139-141)
• Pages: 1317-1321
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.139-141.1317
• Online since: October 2010
• Authors: Li Bao An
• Keywords: Mathematical Models, Nonlinear, Optimization, Production Costs, Turning Parameter

References

[1] B. Gopalakrishnan and F. Al-Khayyal: Int. J Prod. Res. Vol. 29 (1991) No. 9, p.1897-(1908).

[2] A. Manna and S. Salodkar: J. Mate. Process. Technol. Vol. 203 (2008) No. 1-3, pp.147-153.

[3] Y.C. Shin and Y.S. Joo: Int. J Prod. Res. Vol. 30 (1992) No. 12, pp.2907-2919.

[4] R. Gupta, J.L. Batra and G.K. Lal: Int. J Prod. Res. Vol. 33 (1995) No. 9, pp.2555-2565.

[5] A.M.A. Al-Ahmari: Int. J Prod. Res. Vol. 39 (2001) No. 15, pp.3367-3376.

[6] A.M. Zain, H. Haron and S. Sharif: Expert Syst. Appl. Vol. 37 (2010) No. 6, pp.4650-4659.

[7] R.Q. Sardinas, M.R. Santana and E.A. Brindis: Eng. Appl. Artif. Intel. Vol. 19 (2006) No. 2, pp.127-133.

[8] H. Juan, S.F. Yu and B.Y. Lee: Int. J Mach. Tool. Manu. Vol. 43 (2003) No. 7, pp.679-686.

[9] R.V. Rao and P.J. Pawar: Appl. Soft Comp. Vol. 10 (2010) No. 2, pp.445-456.

[10] L. Tang, R.G. Landers, and S.N. Balakrishnan: J Manuf. Sci. E - T ASME. Vol. 130 (2008) No. 3, pp.031002-12.

[11] G. Boothroyd: Fundamentals of Metal Machining and Machine Tools (McGraw-Hill, New Delhi 1985).

[12] Machinability Data Center: Machining Data Handbook (3rd edition, Metcut Research Associates Inc., Cincinnati, Ohio 1980). dt [mm] 6. 0 7. 0 8. 0 9. 0 10. 0 12. 0 ds [mm] 2. 0 2. 0 2. 0 2. 0 2. 0 2. 0 dr1 [mm] 4. 0 2. 9211 3. 5824 3. 5824 4. 0000 3. 5824 dr2 [mm] 2. 0789 2. 4176 3. 4176 4. 0000 3. 5824 dr3 [mm] 2. 8351 fs [mm/rev] 0. 3057 0. 3057 0. 3057 0. 3057 0. 3057 0. 3057 fr1 [mm/rev] 0. 3928 0. 5850 0. 4517 0. 4517 0. 3928 0. 4517 fr2 [mm/rev] 0. 9 0. 7434 0. 4795 0. 3928 0. 4517 fr3 [mm/rev] 0. 6075 Vs [m/min] 162. 71 162. 71 162. 71 162. 71 162. 71 162. 71 Vr1 [m/min] 130. 04 122. 49 130. 04 130. 04 130. 04 130. 04 Vr2 [m/min] 110. 86 115. 88 128. 26 130. 04 130. 04 Vr3 [m/min] 121. 42 n 1 2 2 2 2 3 UC [$/piece] 2. 0768 2. 4650 2. 6045 2. 7440 2. 9198 3. 4294.

DOI: 10.17973/mmsj.2009_12_20091203