Machining process modeling by means of FEM and the use of metamodels with fuzzy logic and linear regression

Authors

  • José Manuel Arroyo-Osorio National University of Colombia
  • Edgar Andrés Patiño-Nariño National University of Colombia
  • Diego Alexander Garzón-Alvarado National University of Colombia
  • Carlos Julio Cortés-Rodríguez National University of Colombia

DOI:

https://doi.org/10.17533/udea.redin.18127

Keywords:

fuzzy logic, finite elements method, machining, metamodels, factorial design of experiments

Abstract

In this work it was implemented a numerical model that simulates the process of orthogonal machining of metallic materials by means of the Finite Elements Method (FEM). For the development of the model, the program Ansys Flotran was used. The material was simulated as a high viscosity fluid crashing against a solid with the cutting edge geometry. From the numerical model it was made a factorial fractionated design of experiments using Minitab software, where the selected input variables were: cutting speed, depth of cut, rake angle, density and viscosity of the fluid. The considered output variables were the velocity of chip and the position of the stagnation point. Two functional metamodels of the FEM model were made, the first one by determining the empirical equations by means of a linear regression. The second was made by establishing functions based on fuzzy logic. The experiments with both metamodels showed that the depth of cut and the rake angle have the greater influence in the chip speed and in the position of the stagnation point. The metamodel based on fuzzy logic presented a better representation between the input and output variables.

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Author Biographies

José Manuel Arroyo-Osorio, National University of Colombia

Department of Mechanical Engineering and Mechatronics.

Edgar Andrés Patiño-Nariño, National University of Colombia

Department of Mechanical Engineering and Mechatronics.

Diego Alexander Garzón-Alvarado, National University of Colombia

Department of Mechanical Engineering and Mechatronics.

Carlos Julio Cortés-Rodríguez, National University of Colombia

Department of Mechanical Engineering and Mechatronics.

References

M. Shaw. “Introduction”. Metal Cutting Principles. 2nd ed. Ed. Oxford University Press. New York, US. 2005. pp. 1-8.

E. Trent, P. Wright. “Introduction: Historical and Economic Context”. Metal Cutting. 4th ed. Ed. John Wiley & Sons Inc., Butterworth-Heinemann. Oxford, UK. 2000, pp. 1-8.

V. Astakhov. “Tribology of Metal Cutting”. Tribology and Interface Engineering Series. Vol. 52. 2006. pp. 1-43. DOI: https://doi.org/10.1016/S0167-8922(06)80001-5

M. Cakir, K. Cavdar. “Development of a knowledgebased expert system for solving metal cutting problems.” Materials & Design. Vol. 27. 2006. pp. 1027-1034. DOI: https://doi.org/10.1016/j.matdes.2005.01.022

V. Astakhov. “Introduction”. Metal Cutting Mechanics. 1st ed. Ed. CRC Press LLC. New York, US. 1998. pp. 1-9. DOI: https://doi.org/10.1201/9781466571778

T. Childs, K. Maekawa, T. Obikawa, Y. Yamane. “Chip formation fundamental.” Metal Machining Theory an applications. 1st ed. Ed. Arnold Publishers. 2000. London, England. pp. 35-80. DOI: https://doi.org/10.1016/B978-0-08-052402-3.50005-8

H. Ernst, M. Merchant. “Chip formation, friction and high quality machining surface on surface treatment of metals”. American Society of Metals. Vol. 29. 1941. pp. 299-378.

M. Merchant. “Mechanics of the metal cutting process.” J. Appl. Phys. Vol. 16. 1945. pp. 318-324. DOI: https://doi.org/10.1063/1.1707596

X. Wang, I. Jawahir. “Recent advances in plasticity applications in metal machining: slip-line models for machining with rounded cutting edge restricted contact grooved tools.” International Journal of Machining and Machinability of Materials. Vol. 2. 2007. pp. 347-360. DOI: https://doi.org/10.1504/IJMMM.2007.015471

D. Montgomery. Design and Analysis of Experiments. 5th ed. Ed. John Wily and Sons. New Jersey, US. 2001. pp. 1-19.

O. Zienkiewicz, R. Taylor. The Finite Element Method. 8th ed. Ed. Butterworth-herinemann. Boston, US. 2000. pp. 1-84.

U. Dixit, P. Dixit. “Predictive Modeling of Metal Forming and Machining Processes Using Soft Computing”. Modeling of Metal Forming and Machining Processes - by Finite Element and Soft Computing Methods. 1st ed. Ed. Springer. New Delhi, India. 2008. pp. 503-547.

G. Bojadziev, M. Bojadziev. Fuzzy set, Fuzzy logic, Application. 1st ed. Ed. World Scientific Publishing Co.. Singapore. 1998. pp. 117-206.

M. Dirikolu, T. Childs, K. Maekawa. “Finite element simulation of chip flow in metal machining.” International Journal of Mechanical Sciences. Vol. 43. 2001. pp. 2699-2713. DOI: https://doi.org/10.1016/S0020-7403(01)00047-9

J. Mackerle. “Finite-element analysis and simulation of machining: a bibliography (1976-1996)”. Journal of Materials Processing Technology. Vol. 86. 1998. pp. 17-44. DOI: https://doi.org/10.1016/S0924-0136(98)00227-1

J. Mackerle. “Finite element analysis and simulation of machining: an addendum: A bibliography (1996- 2002)”. International Journal of Machine Tools and Manufacture. Vol. 43. 2003. pp. 103-114. DOI: https://doi.org/10.1016/S0890-6955(02)00162-1

O. Zienkiewicz. “Chapter 18”. The Finite Element Method in Engineering Science. 2nd ed. Ed. McGrawHill. London, England. 1971. pp. 551.

E. Usui, K. Maekawa, T. Shirakashi. “Simulation analysis of cutting fluid action”. J. Japan. Soc. Prec. Eng. Vol. 43. 1977. pp. 1063-1068. DOI: https://doi.org/10.2493/jjspe1933.43.1063

V. Astakhov, J. Outeiro. “Metal Cutting Mechanics, Finite Element Modelling”. Machining. 1st ed. Ed. Springer. London, England. 2008. pp. 1-28. DOI: https://doi.org/10.1007/978-1-84800-213-5_1

T. Childs, K. Maekawa, T. Obikawa, Y. Yamane. “Finite Element Methods”. Metal Machining Theory an applications. 1st ed. Ed. Arnold Publishers. London, England. 2000. pp. 199-225. DOI: https://doi.org/10.1016/B978-0-08-052402-3.50010-1

H. Bil, S. KIlIç, A. Tekkaya. “A comparison of orthogonal cutting data from experiments with three different finite element models”. International Journal of Machine Tools and Manufacture. Vol. 44. 2004. pp. 933-944. DOI: https://doi.org/10.1016/j.ijmachtools.2004.01.016

V. Marinov. “Hybrid analytical-numerical solution for the shear angle in orthogonal metal cutting—Part I: theoretical foundation”. International Journal of Mechanical Sciences. Vol. 43. 2001. pp. 399-414. DOI: https://doi.org/10.1016/S0020-7403(00)00013-8

V. Astakhov, M. Osman, M. Hayajneh. “Re-evaluation of the basic mechanics of orthogonal metal cutting: velocity diagram, virtual work equation and upperbound theorem”. International Journal of Machine Tools and Manufacture. Vol. 41. 2001. pp. 393-418. DOI: https://doi.org/10.1016/S0890-6955(00)00084-5

D. Montgomery. “Two-Level Fractional Factorial Designs”. Design and Analysis of Experiments. 5th ed. Ed. John Wily and Sons. New Jersey, US. 2001. pp. 303-362.

G. Giorleo, R. Teti, U. Prisco, D. D’Addona. “Merging Neural Network Material Rheological Behaviour Modelling with FEM - Simulation of Orthogonal Metal Cutting”. Machining Science and Technology: An International Journal. Vol. 7. 2003. pp. 401-417. DOI: https://doi.org/10.1081/MST-120025286

M. Shaw. “Shear Stress in Cutting”. Metal Cutting Principles. 2nd ed. Ed. Oxford University Press. New York, US. 2005. pp. 142-153.

V. Venkatesh, S. Izman. “Mechanics of Materials Cutting.” Precision engineering. 1st ed. Ed. McGrawHill. New Delhi, India. 2007. pp. 80-107.

M. Jackson. ”Mechanical Micromachining”. Micro and Nanomanufacturing. 1st ed. Ed. Springer. New York, US. 2007. pp. 191-254.

K. Fang, R. Li, A. Sudjianto. Design and modeling for computer experiments. 1st ed. Ed. Chapman & Hall/ CRC. London, England. 2006. pp 3-65. DOI: https://doi.org/10.1201/9781420034899

J. Posta, G. Klaseboera, E. Stinstra, T. van Amstel, J. Huetink. “Multi-stage metal forming: Variation and transformation”. Journal of Materials Processing Technology. Vol. 209. 2009. pp. 2648-2661. DOI: https://doi.org/10.1016/j.jmatprotec.2008.06.061

D. Montgomery. “Fitting Regression Models”. Design and analysis of experiments. 5th ed. Ed. John Wily and Sons. New Jersey, US. 2001. pp. 392-426.

The MathWorks, Inc. “Fuzzy Logic Toolbox™ User’s Guide”. © COPYRIGHT 1995–2008 The MathWorks, Inc. Natick, US. 2008. pp. 1-345.

I. Shames. “Flujo viscoso incompresible general: Las ecuaciones de Navier-Stockes”. Mecánica de fluidos. 3rd ed. Ed. McGRAW-HILL. Bogotá D. C., Colombia. 1995. pp. 397-430.

D. Montgomery. “The 2k Factorial Design”. Design and Analysis of Experiments. 5th ed. Ed. John Wily and Sons. New Jersey, US. 2001. pp. 218-287.

International Nickel Company. Properties of some metals and alloys: chemical composition/mechanical properties/physical properties/specifications/sources of additional information. International Nickel Company of Canada (editor). Development and Research Division. New York, US. 1968. pp. 1-62.

E. Ceretti, M. Lucchi, T. Altan. “FEM simulation of orthogonal cutting: serrated chip formation”. Journal of Materials Processing Technology. Vol. 95. 1999. pp. 17-26. DOI: https://doi.org/10.1016/S0924-0136(99)00261-7

E. Trent, P. Wright. “Machinability”. Metal cutting. 4th ed. Ed. John Wiley & Sons Inc., ButterworthHeinemann. Oxford, UK. 2000. pp. 251-310. DOI: https://doi.org/10.1016/B978-075067069-2/50011-5

G. Boothroyd, W. Knight. “Fundamentals of Machining and Machine tools”. 2nd ed. Ed. CRC Press. New York, US. 1989 pp. 1-59.

S. Choi, R. Grandhi, R. Canfield. Reliability-based structural design. 1st ed. Ed. Springer. London, England. 2007. pp 1-7.

M. El Baradie. “A fuzzy logic model for machining data selection”. International Journal of Machine Tools and Manufacture. Vol. 37. 1997. pp. 1353-1372. DOI: https://doi.org/10.1016/S0890-6955(95)00094-1

K. Hashmi, M. El Baradie, M. Ryan. “Fuzzy-logic based intelligent selection of machining parameters”. Journal of Materials Processing Technology. Vol. 94. 1999. pp. 94-111. DOI: https://doi.org/10.1016/S0924-0136(99)00086-2

K. Hashmi, I. Graham, B. Mills, M. Hashmi. “Adjustment approach for fuzzy logic model based selection of non-overlapping machining data in the turning operation”. Journal of Materials Processing Technology. Vol. 142. 2003. pp. 152-162.. DOI: https://doi.org/10.1016/S0924-0136(03)00568-5

Published

2014-01-17

How to Cite

Arroyo-Osorio, J. M., Patiño-Nariño, E. A., Garzón-Alvarado, D. A., & Cortés-Rodríguez, C. J. (2014). Machining process modeling by means of FEM and the use of metamodels with fuzzy logic and linear regression. Revista Facultad De Ingeniería Universidad De Antioquia, (69), 9–23. https://doi.org/10.17533/udea.redin.18127