Abstract
The purpose of this paper is to show the design and optimization of a novel electromagnetic servo brake incorporating an Antilock brake system (ABS) function by Multi-objective genetic algorithms. To consider different design requirements, three types of Axisymmetric Finite element (FE) models were initially formulated parametrically to determine the braking force and position of the pusher at each instant during operation of the proposed device. Using a combination of the FE models and Weight-based multi-objective genetic algorithms (WBMOGA), the optimal geometry and dimensions of the proposed FE models were determined while maximizing the braking force of the device and minimizing both the current supplied by the battery and the weight of the assembly. Once an optimal configuration for each type of servo brake designed had been achieved, three prototypes were built and validated experimentally on a conventional test bench. Finally, the prototype that performed best of the three prototypes was mounted and tested on a hybrid test bench with a realistic ABS device. The good agreement between the results obtained from the simulations and those measured experimentally, suggests that the combination of FE models and WBMOGA may be used successfully to design and optimize any complex electromechanical device.
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References
ISO 6597, Road vehicles- Hydraulic braking systems, including those with electronic control functions, for motor vehicles- Test procedures (2005).
ISO 6312, Road vehicles- Brake linings- Shear test procedure for disc brake pad and drum brake shoe assemblies (2010).
F. Puhn, Brake Handbook, Second Ed., HPBooks, New York, USA (1985).
R. K. Dupuy and M. Calkins, Automotive brake systems, Second Ed., Harper Collins Publishers, UK (1995).
D. Howe, Magnetic actuators, Sensors and Actuators A, 81 (2000) 268–274.
R. A. Serway, R. J. Beichner and J. W. Jewett, Physics for scientists and engineers with modern physics, Fifth Ed., Saunders College Publishing, New York, USA (2000).
J. P. A. Bastos and N. Sadowski, Electromagnetic modeling by finite element methods, First Ed., Marcel Dekker, New York, USA (2003).
M. P. Bendsøe and N. Kikuchi, Generating optimal topologies in structural design using a homogenization method, Computer Methods in Applied Mechanics and Engineering, 71 (2) (1988) 197–224.
S. H Cho, Y. Kim and Y. Y. Kim, The optimal design and experimental verification of the bias magnet configuration of a magnetostrictive sensor for bending wave measurement, Sensors Actuators A, 107 (3) (2003) 225–232.
S. Wang, D. Youn, H. Moon and J. Kang, Topology optimization of electromagnetic systems considering magnetization direction, IEEE Transactions on Magnetics, 41 (5) (2005) 1808–1811.
W. Kim, J. E. Kim and Y. Y. Kim, Coil configuration design for the Lorentz force maximization by the topology optimization method: application to optical pickup coil design, Sensors Actuators A, 121 (1) (2005) 221–229.
T. Nomura, K. Sato, K. Taguchi, T. Kashiwa and S. Nishiwaki, Structural topology optimization for the design of broadband dielectric resonator antennas using the finite difference time domain technique, International Journal for Numerical Methods in Engineering, 71 (11) (2007) 1261–1296.
J. S. Choi and J. Yoo, Simultaneous structural topology optimization of electromagnetic sources and ferromagnetic materials, Computer Methods in Applied Mechanics and Engineering, 198 (27) (2009) 2111–2121.
J. S. Choi and J. Yoo, Structural optimization of ferromagnetic materials based on the magnetic reluctivity for magnetic field problems, Computer Methods in Applied Mechanics and Engineering, 197 (49) (2008) 4193–4206.
J. Lee, E. M. Dede, D. Banerjee and H. Iizuka, Magnetic force enhancement in a linear actuator by air-gap magnetic field distribution optimization and design, Finite Elements in Analysis and Design, 58 (2012) 44–52.
J. Yoo and H. A. Hong, A A modified density approach for topology optimization in magnetic fields, International Journal of Solids and Structures, 41 (9) (2004) 2461–2477.
J. Kim, K. H. Sun, W. Kim and J. E. Kim, Magnetic torque maximization in a camera shutter module by the topology optimization, Journal of Mechanical Science and Technology, 24 (12) (2010) 2511–2517.
S. Schonhardt, J. G. Korvink, J. Mohr, U. Hollenbach and U. Wallrabe, Optimization of an electromagnetic comb drive actuator, Sensors and Actuators A, 154 (2) (2009) 212–217.
K. Karakoc, E. J. Park and A. Suleman, Design considerations for an automotive magnetorheological brake, Mechatronics, 18 (8) (2008) 434–447.
J. S. Choi and J. Yoo, Optimal design method for magnetization directions of a permanent magnet array, Journal of Magnetism and Magnetic Materials, 322 (15) (2010) 2145–2151.
K. V. Tatis, A. G. Kladas and J. A. Tegopoulos, Geometry optimization of solid rotor eddy current brake by using sensitivity analysis and 3D finite elements, Journal of Materials Processing Technology, 161 (1) (2005) 363–367.
R. Lostado, F. J. Martínez-de-Pisón, R. Fernandez and J. Fernandez, Using genetic algorithms to optimize the material behaviour model in finite element models of processes with cyclic loads, Journal of Strain Analysis for Engineering Design, 46 (2) (2011) 143–159.
A. Samad and K. Y. Kim, Multi-objective optimization of an axial compressor blade, Journal of Mechanical Science and Technology, 22 (5) (2008) 999–1007.
R. Lostado, R. Fernandez, B. J. Mac Donald and P. M. Villanueva, Combining soft computing techniques and finite element method for the design and optimization of complex welded products, Integrated Computer-Aided Engineering, 22 (2015) 153–170.
B. J. Fisher, N. Dillon, T. A. Carpenter and L. D. Hall, Design of a biplanar gradient coil using a genetic algorithm, Magnetic Resonance Imaging, 15 (3) (1997) 369–376.
C. H. Ko and J. C. Chiou, Optimal design of the magnetic microactuator using the genetic algorithm, Journal of Magnetism and Magnetic Materials, 263 (1) (2003) 38–46.
C. Wang, Q. Wang, H. Huang, S. Song, Y. Dai and F. Deng, Electromagnetic optimization design of a HTS magnet using the improved hybrid genetic algorithm, Cryogenics, 46 (5) (2006) 349–353.
Z. Parlak, T. Engin and I. Çall, Optimal design of MR damper via finite element analyses of fluid dynamic and magnetic field, Mechatronics, 22 (6) (2012) 890–903.
Z. Michalewicz, Genetic algorithms + data structures = evolution programs, 1st ed., Springer-Verlag, Inc. (1996).
Frenos Iruña and S. A. L. Servofreno Hidraulico, Spanish patent U9300590, Pamplona, Navarra, Spain (1994).
P. Hajela and C. Lin, Genetic search strategies in multicriterion optimal design, Structural Optimization, 4 (2) (1992) 99–107.
M. R. Farmani, A. Jaamialahmadi and M. Babaie, M. Multiobjective optimization for force and moment balance of a four-bar linkage using evolutionary algorithms, Journal of Mechanical Science and Technology, 25 (12) (2011) 2971–2977.
C. M. Fonseca and P. J. Fleming, Genetic algorithms for multiobjective optimization: Formulation discussion and generalization, 5th International Conference on Genetic Algorithms (ICGA '93), Urbana-Champaign, Illinois, USA (1993) 416–423.
R Development Core Team, R Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria (2011).
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Rubén Lostado Lorza is a Lecturer in the Department of Mechanical Engineering at the University of La Rioja, Spain. Previously he worked as a mechanical engineer using the finite element method in the R & D Department of a couple of companies. One of its lines of research is the modeling and optimization of mechanical products or devices with nonlinear behavior and industrial processes by combining the FEM and machine learning techniques.
Pedro M. Villanueva Roldan is an Associate Professor in the Department of Engineering Projects of Public University of Navarra. He is also currently Plant Manager in a company engaged in the manufacture of aircraft components. He is an expert in the development and manufacture of new products, applying design methodologies for the manufacture of new industrial components.
Roberto Fernandez Martinez is an Assistant Professor in the Department of Electrical Engineering at the University of Basque Country, Spain. Previously he served as Ph.D. researcher at University of La Rioja in the Department of Industrial Engineering where he obtained his Ph.D. Among others, one of his research areas is related with the use of data mining and machine learning techniques in industrial and environmental scenarios, topic on which he wrote his doctoral thesis in 2012. This primary research goal is directed toward getting knowledge from large Data Bases optimizing processes and products.
Bryan J. Mac Donald is Senior Lecturer in Engineering Design at the school of Mechanical and Manufacturing Engineering at Dublin City University, Ireland. He is responsible for teaching finite element methods to undergraduate and postgraduate mechanical and biomedical engineers. He is the author of the highly successful textbook "Practical Stress Analysis with Finite Elements" published by Glasnevin Publishing.
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Lostado, R., Villanueva Roldán, P., Fernandez Martinez, R. et al. Design and optimization of an electromagnetic servo braking system combining finite element analysis and weight-based multi-objective genetic algorithms. J Mech Sci Technol 30, 3591–3605 (2016). https://doi.org/10.1007/s12206-016-0720-6
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DOI: https://doi.org/10.1007/s12206-016-0720-6