Abstract
In this paper, an optimization study was conducted for improving flatness of the strips during coiling process. The evolutionary optimizer coded by MATLAB is used for reducing axial inhomogeneity of the stress distribution and the maximum compressive stress calculated by Love’s elastic solution within a thin strip during the coiling process which might cause irregular surface profile of the strip. An improved differential evolution (DE) method employing opposition-based concept is newly proposed in the present work and is used along with several well-established evolutionary algorithms (EAs) to obtain the optimal processing parameters such as spool geometry and coiling tension of the strip coiling process. It was found that the newly proposed differential evolutionary algorithm outperformed other EAs according to the present study. This kind of optimization studies will be helpful in reducing the edge wave defects during the strip coiling process to improve product quality.
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Abbreviations
- σ θ :
-
the circumferential stress
- σ T :
-
the coiling tension
- V :
-
the approximate volume of the circumferential stress
- σ θc :
-
the maximum compressive circumferential stress
- α b :
-
the spool crown height
- θ b :
-
the spool crown exponent
References
Jung, J. Y. and Im, Y. T., “Simulation of Fuzzy Shape Control for Cold-Rolled Strip with Randomly Irregular Strip Shape,” Journal of Materials Processing Technology, vol. 63, no. 1, pp. 248–253, 1997.
Jung, J. Y. and Im, Y. T., “Fuzzy Control Algorithm for the Prediction of Tension Variations In Hot Rolling,” Journal of Materials Processing Technology, vol. 96, no. 1, pp. 163–172, 1999.
Kawanami, T., Asamura, T., and Matsumoto, H., “Development of High-Precision Shape and Crown Control Technology for Strip Rolling,” Journal of Materials Processing Technology, vol. 22, no. 3, pp. 257–275, 1990.
Kwon, H. C., Han, I. S., and Chun, M. S., “Examination of Thermal Behavior of Hot Rolled Coil based on the Finite Element Modeling and Thermal Measurement,” Proc. of the 10th ICTP, pp. 37–40, 2011.
Sims, R. B. and Place, J. A., “The Stresses in the Reels of Cold Reduction Mills,” British Journal of Applied Physics, vol. 4, no. 7, pp. 213, 1953.
Miller, D. B. and Thornton, M., “Prediction of Changes in Flatness during Coiling,” Proc. of 5th International Rolling Conference, pp. 73–78, 1990.
Sarban, A. A., “An Elasto-Plastic Analysis for the Prediction of Changes in Flatness during Coiling,” Proc. of International Conference on Modelling of Metal Rolling Processes, vol. 2, pp. 92–100, 1996.
Yanagi, S., Hattori, S., and Maeda, Y., “Analysis Model for Deformation of Coil of Thin Strip under Coiling Process-Flatness Change of Thin Strip during Coiling Process I,” Journal-Japan Society For Technology of Plasticity, vol. 39, pp. 51–55, 1998.
Park, W. W., Kim, D. K., Im, Y. T., Kwon, H. C., and Chun, M. S., “Effects of Processing Parameters on Elastic Deformation of the Coil During the Thin-Strip Coiling Process,” Metals and Materials International, vol. 20, no. 4, pp. 719–726, 2014.
Pholdee, N. and Bureerat, S., “Passive Vibration Control of an Automotive Component using Evolutionary Optimisation,” Journal of Research and Applications in Mechanical Engineering, vol. 1, no. 1, pp. 19–22, 2010.
Pholdee, N. and Bureerat, S., “Surrogate-Assisted Evolutionary Optimizers for Multiobjective Design of a Torque Arm Structure,” Applied Mechanics and Materials, Vols. 101–102, pp. 324–328, 2012.
Pholdee, N. and Bureerat, S., “Performance Enhancement of Multiobjective Evolutionary Optimisers for Truss Design using an Approximate Gradient,” Computers & Structures, vol. 106, pp. 115–124, 2012.
Pholdee, N. and Bureerat, S., “Hybridisation of Real-Code Populationbased Incremental Learning and Differential Evolution for Multiobjective Design of Trusses,” Information Sciences, vol. 223, pp. 136–152, 2013.
Bureerat, S. and Limtragool, J., “Structural Topology Optimisation using Simulated Annealing with Multiresolution Design Variables,” Finite Elements in Analysis and Design, vol. 44, no. 12, pp. 738–747, 2008.
Srisomporn, S. and Bureerat, S., “Geometrical Design of Plate-Fin Heat Sinks using Hybridization of MOEA and RSM,” IEEE Transactions on Components and Packaging Technologies, vol. 31, no. 2, pp. 351–360, 2008.
Yldz, A. R., “A Novel Particle Swarm Optimization Approach for Product Design and Manufacturing,” The International Journal of Advanced Manufacturing Technology, vol. 40, no. 5–6, pp. 617–628, 2009.
Kim, N., Kim, H., and Jin, K., “Optimal Design to Reduce the Maximum Load in Ring Rolling Process,” Int. J. Precis. Eng. Manuf., vol. 13, no. 10, pp. 1821–1828, 2012.
Kumar, S., Dubey, A. K., and Pandey, A. K., “Computer-Aided Genetic Algorithm based Multi-Objective Optimization of Laser Trepan Drilling,” Int. J. Precis. Eng. Manuf., vol. 14, no. 7, pp. 1119–1125, 2013.
Park, H. S. and Nguyen, T. T., “Optimization of Roll Forming Process with Evolutionary Algorithm for Green Product,” Int. J. Precis. Eng. Manuf., vol. 14, no. 12, pp. 2127–2135, 2013.
Sikdar, S. and Mukherjee, I., “A Holistic Framework for Multiple Response Optimization of Hot Strip Rolling Process,” Materials and Manufacturing Processes, vol. 26, no. 11, pp. 1393–1403, 2011.
Mohanty, S., Mahanty, B., and Mohapatra, P. K., “Optimization of Hot Rolled Coil Widths using a Genetic Algorithm,” Materials and Manufacturing Processes, vol. 18, no. 3, pp. 447–462, 2003.
Nandan, R., Rai, R., Jayakanth, R., Moitra, S., Chakraborti, N., and Mukhopadhyay, A., “Regulating Crown and Flatness during Hot Rolling: A Multiobjective Optimization Study using Genetic Algorithms,” Materials and Manufacturing Processes, vol. 20, no. 3, pp. 459–478, 2005.
Tiwari, A., Oduguwa, V., and Roy, R., “Rolling System design using Evolutionary Sequential Process Optimization,” IEEE Transactions on Evolutionary Computation, vol. 12, no. 2, pp. 196–202, 2008.
Chakraborti, N., Kumar, B. S., Babu, V. S., Moitra, S., and Mukhopadhyay, A., “Optimizing Surface Profiles during Hot Rolling: A Genetic Algorithms based Multi-Objective Optimization,” Computational Materials Science, vol. 37, no. 1, pp. 159–165, 2006.
Zhang, J. and Wang, Y., “Defection Recognition of Cold Rolling Strip Steel based on ACO Algorithm with Quantum Action,” Lecture Notes in Computer Science, pp. 263–271, 2012.
Storn, R. and Price, K., “Differential Evolution-A Simple and Efficient Heuristic for Global Optimization Over Continuous Spaces,” Journal of Global Optimization, vol. 11, no. 4, pp. 341–359, 1997.
Karaboga, D. and Basturk, B., “A Powerful and Efficient Algorithm for Numerical Function Optimization: Artificial Bee Colony (ABC) Algorithm,” Journal of Global Optimization, vol. 39, no. 3, pp. 459–471, 2007.
Socha, K. and Dorigo, M., “Ant Colony Optimization for Continuous Domains,” European Journal of Operational Research, vol. 185, no. 3, pp. 1155–1173, 2008.
Rao, R. V., Savsani, V. J., and Vakharia, D., “Teaching-Learningbased Optimization: A Novel Method for Constrained Mechanical Design Optimization Problems,” Computer-Aided Design, vol. 43, no. 3, pp. 303–315, 2011.
Kashan, A. H., “An Efficient Algorithm for Constrained Global Optimization and Application to Mechanical Engineering Design: League Championship Algorithm (LCA),” Computer-Aided Design, vol. 43, no. 12, pp. 1769–1792, 2011.
Kaveh, A. and Talatahari, S., “A Novel Heuristic Optimization Method: Charged System Search,” Acta Mechanica, vol. 213, no. 3–4, pp. 267–289, 2010.
Choi, Y. J. and Lee, M. C., “A Downcoiler Simulator for High Performance Coiling in Hot Strip Mill Lines,” Int. J. Precis. Eng. Manuf., vol. 10, no. 2, pp. 53–61, 2009.
Wang, H., Li, H., Liu, Y., Li, C., and Zeng, S., “Opposition-based Particle Swarm Algorithm with Cauchy Mutation,” Proc. of IEEE Congress on Evolutionary Computation, pp. 4750–4756, 2007.
Rahnamayan, S., Tizhoosh, H. R., and Salama, M. M., “Oppositionbased Differential Evolution,” IEEE Transactions on Evolutionary Computation, vol. 12, no. 1, pp. 64–79, 2008.
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Pholdee, N., Bureerat, S., Park, WW. et al. Optimization of flatness of strip during coiling process based on evolutionary algorithms. Int. J. Precis. Eng. Manuf. 16, 1493–1499 (2015). https://doi.org/10.1007/s12541-015-0198-7
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DOI: https://doi.org/10.1007/s12541-015-0198-7