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Application of SEUMRE global optimization algorithm in automotive magnetorheological brake design

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Abstract

In this paper, the superior performance of a novel space exploration and unimodal region elimination global optimization algorithm, SEUMRE, is demonstrated through comparisons with other well known global optimization techniques, including genetic algorithm (GA), simulated annealing (SA), and a highly nonlinear design problem—the optimal design of automotive magnetorheological brake (MRB). Unlike the conventional brakes, an MRB employs the interaction between a magnetorheological fluid and an applied magnetic field to generate the retarding braking torque. The SEUMRE design optimization algorithm was used to maximize the braking torque and minimize the weight of the brake structure. The computation time and optimized design parameters illustrated SEUMRE’s capability to converge to an accurate result faster than the conventional global optimization methods. However, SA provided significantly better optimization results than GA and SEUMRE in terms of the cost function.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada

    Adel Younis, Kerem Karakoc, Zuomin Dong & Afzal Suleman

  2. School of Engineering Science, Simon Fraser University, Burnaby, BC, Canada

    Edward Park

Authors
  1. Adel Younis
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  2. Kerem Karakoc
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  3. Zuomin Dong
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  4. Edward Park
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  5. Afzal Suleman
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Corresponding author

Correspondence to Adel Younis.

Appendices

Appendix 1: Sample of test results of SEUMRE method

Table 3 Results of representative benchmark problems using SEUMRE method
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Appendix 2: Comparison of the resulting optimum design parameters and computational efficiency for different number of disks and weight coefficients

Table 4 Optimization results for one disk when K T = 0.1 and K w = 0.9
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Table 5 Optimization results for one disk when K T = 0.5 and K w = 0.5
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Table 6 Optimization results for two disks when K T = 0.9 and K w = 0.1
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Table 7 Optimization results for three disks when K T = 0.9 and K w = 0.1
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Table 8 Optimization results for four disks when K T = 0.9 and K w = 0.1
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Younis, A., Karakoc, K., Dong, Z. et al. Application of SEUMRE global optimization algorithm in automotive magnetorheological brake design. Struct Multidisc Optim 44, 761–772 (2011). https://doi.org/10.1007/s00158-011-0661-8

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  • DOI: https://doi.org/10.1007/s00158-011-0661-8

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