Electromagnetic buffer optimization based on Nash game

Aiming at the problem of unstable buffering process of electromagnetic buffer (EMB) under intensive impact load, a three-segment electromagnetic buffer is proposed. The inner tube and air-gap of EMB are divided into three segments. The finite element analysis and impact test results show that the resultant resistance force (RRF) curve has two hump-shaped peaks, which is the reason for the unstable buffering process. In order to stabilize the buffering process, a multi-objective optimization design method of EMB based on Nash game theory is proposed. Firstly, the optimization model is established by taking the two peaks of the RRF curve and the maximum buffer displacement as the optimization objectives. Secondly, the multi-objective optimization model is transformed into a game model by sensitivity analysis and fuzzy clustering. Then, a Nash equilibrium solution strategy of EMB Nash game model based on symmetric elitist information exchange is proposed, which integrates gene expression programming (GEP) surrogate model and genetic algorithm (GA) as an optimization solver. Finally, the Nash equilibrium of the game model is obtained. The results show that the smoothness of the RRF curve has been significantly improved, which proves the effectiveness of the game strategy.

[1]  George Q. Huang,et al.  Nash Game Model for Optimizing Market Strategies, Configuration of Platform Products in a Vendor Managed Inventory (Vmi) Supply Chain for a Product Family , 2009, Eur. J. Oper. Res..

[2]  Edgar Tello-Leal,et al.  A Review of Surrogate Assisted Multiobjective Evolutionary Algorithms , 2016, Comput. Intell. Neurosci..

[3]  G. Gary Wang,et al.  Review of Metamodeling Techniques in Support of Engineering Design Optimization , 2007 .

[4]  Fabio Freschi,et al.  Eddy current coupler optimization , 2004 .

[5]  Mohammad Karim Sohrabi,et al.  A Survey on the Combined Use of Optimization Methods and Game Theory , 2018, Archives of Computational Methods in Engineering.

[6]  David Saige,et al.  Application of eddy current damper technology for passive tuned mass damper systems within footbridges , 2017 .

[7]  Xiandong Liu,et al.  Design and Damping Analysis of a New Eddy Current Damper for Aerospace Applications , 2016 .

[8]  Hui Yin,et al.  Nash-Game-Oriented Optimal Design in Controlling Fuzzy Dynamical Systems , 2019, IEEE Transactions on Fuzzy Systems.

[9]  Ye-Hwa Chen,et al.  Rendering Optimal Design in Controlling Fuzzy Dynamical Systems: A Cooperative Game Approach , 2019, IEEE Transactions on Industrial Informatics.

[10]  Efren Diez-Jimenez,et al.  A novel high temperature eddy current damper with enhanced performance by means of impedance matching , 2019, Smart Materials and Structures.

[11]  M. Nikoo,et al.  A game theoretical low impact development optimization model for urban storm water management , 2019 .

[12]  D. Hamby A review of techniques for parameter sensitivity analysis of environmental models , 1994, Environmental monitoring and assessment.

[13]  S. Jang,et al.  Analytical Torque Calculations and Experimental Testing of Permanent Magnet Axial Eddy Current Brake , 2013, IEEE Transactions on Magnetics.

[14]  Qinqin Sun,et al.  Cooperative game-oriented optimal design in constraint-following control of mechanical systems , 2020, Nonlinear Dynamics.

[15]  Jalal Shiri,et al.  Artificial neural networks vs. Gene Expression Programming for estimating outlet dissolved oxygen in micro-irrigation sand filters fed with effluents , 2013 .

[16]  Jean-Antoine Désidéri,et al.  Concurrent Aerodynamic Optimization of Rotor Blades Using a Nash Game Method , 2016 .

[17]  Zhili Tang,et al.  Natural laminar flow shape optimization in transonic regime with competitive Nash game strategy , 2017 .

[18]  Robert W. Brown,et al.  Magnetism: Principles and Applications , 2003 .

[19]  Jae-Sung Bae,et al.  Eddy Current Damping in Structures , 2004 .

[20]  L. Zuo,et al.  Improving the off-resonance energy harvesting performance using dynamic magnetic preloading , 2020 .

[21]  Mir Behrad Khamesee,et al.  Eddy current damper feasibility in automobile suspension: modeling, simulation and testing , 2008 .

[22]  D. Yurchenko,et al.  Design, modeling and experiments of broadband tristable galloping piezoelectric energy harvester , 2020 .

[23]  Zhili Tang,et al.  Nash equilibrium and multi criterion aerodynamic optimization , 2016, J. Comput. Phys..

[24]  Zhili Tang,et al.  A new Nash optimization method based on alternate elitist information exchange for multi-objective aerodynamic shape design , 2019, Applied Mathematical Modelling.

[25]  E. Furlani Permanent Magnet and Electromechanical Devices: Materials, Analysis, and Applications , 2001 .

[26]  Cândida Ferreira,et al.  Gene Expression Programming: A New Adaptive Algorithm for Solving Problems , 2001, Complex Syst..

[27]  Antonio Petraglia,et al.  Solving generalized Nash equilibrium problems through stochastic global optimization , 2016, Appl. Soft Comput..

[28]  Z. Deng,et al.  Effect of Eddy Current Damper on the Dynamic Vibration Characteristics of High-Temperature Superconducting Maglev System , 2017, IEEE Transactions on Applied Superconductivity.

[29]  Michael E. Brown,et al.  Introduction to Space Physics , 1995 .

[30]  Yubing Zhai,et al.  An equilibrium in group decision and its association with the Nash equilibrium in game theory , 2020, Comput. Ind. Eng..

[32]  Qianzhi Dai,et al.  Allocating common costs of multinational companies based on arm's length principle and Nash non-cooperative game , 2020, Eur. J. Oper. Res..

[33]  Fengrui Liu,et al.  Nonlinear characterization and performance optimization for broadband bistable energy harvester , 2020 .

[34]  Mir Behrad Khamesee,et al.  A hybrid electromagnetic shock absorber for active vehicle suspension systems , 2011 .

[35]  T. Hens,et al.  Nash equilibrium strategies and survival portfolio rules in evolutionary models of asset markets , 2020 .

[36]  Liqun Chen,et al.  Improving energy harvesting by internal resonance in a spring-pendulum system , 2020 .

[37]  M. B. Khamesee,et al.  A novel eddy current damper: theory and experiment , 2009 .

[38]  Daniel J. Inman,et al.  Development of a New Passive-Active Magnetic Damper for Vibration Suppression , 2006 .

[39]  J. Nash Equilibrium Points in N-Person Games. , 1950, Proceedings of the National Academy of Sciences of the United States of America.

[40]  Taehoon Hong,et al.  An optimized gene expression programming model for forecasting the national CO2 emissions in 2030 using the metaheuristic algorithms , 2018, Applied Energy.

[41]  Prasenjit Dey,et al.  A utilization of GEP (gene expression programming) metamodel and PSO (particle swarm optimization) tool to predict and optimize the forced convection around a cylinder , 2016 .

[42]  Marilyn J. Smith,et al.  Collaborative Investigation of the Aerodynamic Behavior of Airfoils in Reverse Flow , 2016 .

[43]  Hao Sun,et al.  Stackelberg Game Theory-Based Optimization of High-Order Robust Control for Fuzzy Dynamical Systems , 2022, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[44]  Ozan Keysan,et al.  Multi-objective design optimization of a permanent magnet axial flux eddy current brake , 2019 .

[45]  Samir A. Nayfeh,et al.  Design and Analysis of a New Type of Electromagnetic Damper With Increased Energy Density , 2011 .

[46]  Ye-Hwa Chen,et al.  Stackelberg-Theoretic Approach for Performance Improvement in Fuzzy Systems , 2020, IEEE Transactions on Cybernetics.

[47]  Edward A. Patrick,et al.  Review of Pattern Recognition in Medical Diagnosis and Consulting Relative to a New System Model , 1974, IEEE Trans. Syst. Man Cybern..