Thermal Cutting Temperature Analysis using Probabilistic FEM

  • Authors

    • Mohd Shahar Sulaiman
    • Yupiter HP. Manurung
    • M. Fadzil
    https://doi.org/10.14419/ijet.v7i4.36.29386
  • Deterministic FEM, Monte Carlo, MSC MARC, Probabilistic FEM, Thermal Cutting
  • Abstract

    This paper investigates the capability of probabilistic FEM to predict temperature distribution due to thermal cutting process. The application of transient heat source causes non-uniform temperature distribution across the parent metal that can lead to non-uniform expansion and contraction during heating and cooling cycle. This phenomenon will induce thermal stresses to the workpiece that can subsequently lead to unwanted cutting deformation. Therefore, forecast of temperature distribution is important in order to control the amount of heat required in the cutting process. The temperature prediction was computed by using non-linear thermo-elastic-plastic numerical analysis with isotropic strain hardening which is also known as deterministic FEM. For comparison, another extension simulation which is probabilistic FEM using Monte Carlo method was carried out by varying the input power. In this study, both simulation methods had been executed by using FEM software MSC MARC. The material used for the simulation was low carbon steel C15 with the thickness of 2 mm. Based on the results obtained, it was found out that slight differences of temperature distributions were predicted between both methods. The small observable differences occurred due to the probabilistic method was only executed to fluctuate the input power, while the other process parameters were still unchanged. Nevertheless, the Monte Carlo method was successfully integrated into the normal simulation which then transforming it into probabilistic analysis. Hence, through probabilistic method, reliability on prediction could be increased in which the prediction would be closer to reality.

     

     

  • References

    1. [1] Arttu Laitinen, Two-Dimensional Simulation of Thermal Cutting of Low Alloyed Steels, Master of Science Thesis, Tampere University of Technology, (2015).

      [2] Teräslevyjen Terminen Leikkaus, Metalliteollisuuden Kustannus-Oy, ISBN 951-817-221-8, ISSN 0357-7368, Tekninen Tiedotus, Helsinki, (1985).

      [3] Hendricks B.R., Simulation of Plasma Arc Cutting, M.Sc. Thesis, Faculty of Engineering, Peninsula Technikon, (1999), pp:1-42.

      [4] Prasad G.V.S., Siores E., Wong W.C.K., “Laser Cutting of Metallic Coated Sheet Steelsâ€, Journal of Materials Processing Technology, Vol.74, (1998), pp.234–242.

      [5] Anil P. Varkey, Dr. Shajan Kuriakose, Prof. V Narayanan Unni, “Optimization of Edge Quality during CO2 Laser Cutting of Titanium Alloyâ€, International Journal of Innovative Research in Advanced Engineering, Vol.1, (2014), pp.110-117.

      [6] Nyon K. Y., Nyeoh C. Y., Mohzani Mokhtar, Razi Abdul Rahman, “Finite Element Analysis of Laser Inert Gas Cutting on Inconel 718â€, International Journal of Advanced Manufacturing Technology, Vol.60, (2012), pp.995-1007.

      [7] Serope Kalpakjian, Steven R. Schmid, Manufacturing Engineering and Technology, Pearson Education South Asia Pte Ltd, (2014).

      [8] Lidam RN, Yupiter HPM, Redza MR, Rahim MR, Sulaiman MS, Zakaria MY, Tham G, Abas SK, Haruman E and Chau CY, “Simulation Study on Multipassed Welding Distortion of Combined Joint Types using Thermo-Elastic-Plastic FEMâ€, The Journal of Engineering Research, Vol.9, No.2, (2012), pp.1-16.

      [9] Jonathan G. Mullins and Jens Gunnars, “Effect of Hardening Model on the Weld Residual Stress Field in Pipe Girth Weldsâ€, 20th International Conference on Structural Mechanics in Reactor Technology, Finland, (2009).

      [10]José David Arregui-Mena, Lee Margetts, Paul M. Mummery, “Practical Application of the Stochastic Finite Element Methodâ€, Arch Computat Methods Eng, (2014). DOI 10.1007/s11831-014-9139-3.

      [11]Der Kiureghian A, Ke J-B, “The Stochastic Finite Element Method in Structural Reliabilityâ€, Probab Eng Mech, Vol.3, (1988), pp.83-91.

      [12]Cassidy MJ, Uzielli M, Tian YH, “Probabilistic Combined Loading Failure Envelopes of a Strip Footing on Spatially Variable Soilâ€, Comput Geotech, Vol.49, (2013), pp.191-205.

      [13]Liu WK, Mani A, Belytschko T, “Finite Element Methods in Probabilistic Mechanicsâ€, Probab Eng Mech, Vol.2, (1987), pp.201-213.

      [14]MiloÅ¡ Madić, Miroslav Radovanović and Marin Gostimirović, “ANN Modeling of Kerf Taper Angle in CO2 Laser Cutting and Optimization of Cutting Parameters using Monte Carlo Methodâ€, International Journal of Industrial Engineering Computations, Vol.6, (2014), pp.1-10.

      [15]C. S. Wu, H. G. Wang and Y. M. ZHANG, “A New Heat Source Model for Keyhole Plasma Arc Welding in FEM Analysis of the Temperature Profileâ€, Welding Journal, (2006), pp.284-291.

      [16]Timothy H. Click, Aibing Liu, George A. Kaminski, “Quality of Random Number Generators Significantly Affects Results of Monte Carlo Simulations for Organic and Biological Systemsâ€, Journal of Computational Chemistry, Vol.32, No.3, (2010), pp.513-524.

      [17]Mark J. Durst, “Using Linear Congruential Generators for Parallel Random Number Generationâ€, Proceedings of the 1989 Winter Simulation Conference, (1989), pp:462-466.

      [18]William J. Thistleton, John A. Marsh, Kenric Nelson and Constantino Tsallis, “Generalized Box–Müller Method for Generating q-Gaussian Random Deviatesâ€, IEEE Transactions on Information Theory, Vol.53, No.12, (2007), pp.4805-4810.

      [19]Adnane Addaim, Driss Gretete and Abdessalam Ait Madi, “Enhanced Box-Muller method for high quality Gaussian random number generationâ€, Int. J. Computing Science and Mathematics, Vol.9, No.3, (2018), pp.287-297.

      [20]J. Rodrigues Dias, “A Simple Generalization of the Box–Muller Method for Obtaining a pair of Correlated Standard Normal Variablesâ€, Journal of Statistical Computation and Simulation, Vol.80, No.9, (2010), pp.953–958.

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  • How to Cite

    Shahar Sulaiman, M., HP. Manurung, Y., & Fadzil, M. (2018). Thermal Cutting Temperature Analysis using Probabilistic FEM. International Journal of Engineering & Technology, 7(4.36), 1613-1618. https://doi.org/10.14419/ijet.v7i4.36.29386

    Received date: 2019-05-27

    Accepted date: 2019-05-27