Smart Structures and Systems

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Weighted sum Pareto optimization of a three dimensional passenger vehicle suspension model using NSGA-II for ride comfort and ride safety

  • Bagheri, Mohammad Reza (School of Mechanical Engineering, Malek-Ashtar University of Technology) ;
  • Mosayebi, Masoud (School of Mechanical Engineering, Malek-Ashtar University of Technology) ;
  • Mahdian, Asghar (School of Mechanical Engineering, Malek-Ashtar University of Technology) ;
  • Keshavarzi, Ahmad (Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University)
  • Received : 2018.08.03
  • Accepted : 2018.09.20
  • Published : 2018.10.25
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Abstract

The present research study utilizes a multi-objective optimization method for Pareto optimization of an eight-degree of freedom full vehicle vibration model, adopting a non-dominated sorting genetic algorithm II (NSGA-II). In this research, a full set of ride comfort as well as ride safety parameters are considered as objective functions. These objective functions are divided in to two groups (ride comfort group and ride safety group) where the ones in one group are in conflict with those in the other. Also, in this research, a special optimizing technique and combinational method consisting of weighted sum method and Pareto optimization are applied to transform Pareto double-objective optimization to Pareto full-objective optimization which can simultaneously minimize all objectives. Using this technique, the full set of ride parameters of three dimensional vehicle model are minimizing simultaneously. In derived Pareto front, unique trade-off design points can selected which are non-dominated solutions of optimizing the weighted sum comfort parameters versus weighted sum safety parameters. The comparison of the obtained results with those reported in the literature, demonstrates the distinction and comprehensiveness of the results arrived in the present study.

Keywords

Acknowledgement

Supported by : Malek-Ashtar University of Technology of Iran

References

  1. Barbosa, R.S. (2011), "Vehicle dynamic response due to pavement roughness", J. Braz. Soc. Mech. Sci. Eng., 33(3), 302-307.
  2. Bharti, P.S., Maheshwari, S. and Sharma C. (2012), "Multiobjective optimization of electric-discharge machining process using controlled elitist NSGA-II", J. Mech. Sci. Technol., 26(6), 1875-1883. https://doi.org/10.1007/s12206-012-0411-x
  3. Busch, J. and Bestle, D. (2014), "Optimisation of lateral car dynamics taking into account parameter uncertainties", Vehicle Syst. Dyn., 52(2), 166-185. https://doi.org/10.1080/00423114.2013.868006
  4. Chen, S., Wang, D., Chen, J., Liu, B. and Li, C. (2013), "Optimization of car sound package with statistical energy analysis model using grey relational analysis and taguchi method", Fluct. Noise Lett., 12(1), 1250024-1-1250024-20. https://doi.org/10.1142/S0219477512500241
  5. Costas, M., Diaz, J., Romera, L. and Hernandez, S. (2014), "A multi-objective surrogate-based optimization of the crashworthiness of a hybrid impact absorber", International Journal of Mechanical Science, 88, 46-54.
  6. Deb K. (2001), Multi-Objective Optimization using Evolutionary Algorithms, John Wiley & Sons, Ltd.
  7. Gu, X., Sun, G., Li, G., Huang, X., Li, Y. and Li, Q. (2013), "Multi objective optimization design for vehicle occupant restraint system under frontal impact", Struct. Multidiscip. O., 47(3), 465-477. https://doi.org/10.1007/s00158-012-0811-7
  8. Gundogdu, O. (2007), "Optimal seat and suspension design for a quarter car with driver model using genetic algorithms", Int. J. Ind. Ergonom., 37(4), 327-332. https://doi.org/10.1016/j.ergon.2006.11.005
  9. Hada, M.K., Menon, A. and Bhave, S.Y. (2007), "Optimisation of an active suspension force controller using genetic algorithm for random Iinput", Defence Sci. J., 57(5), 691-706. https://doi.org/10.14429/dsj.57.1806
  10. Ihsan, S.I., Faris, W.F. and Ahmadian M. (2008), "Analysis of control policies and dynamic response of a Q-car 2-DOF semi active system", J. Shock Vib., 15(5), 573-582. https://doi.org/10.1155/2008/807498
  11. Jin, L., Yu, Y. and Fu, Y. (2016), "Study on the ride comfort of vehicles driven by in-wheel motors", Adv. Mech. Eng., 8(3), 1-9.
  12. Li, Z., Zheng, L., Ren, Y., Li, Y. and Xiong, Z. (2018), "Multiobjective optimization of active suspension system in electric vehicle with In-Wheel-Motor against the negative electromechanical coupling effects", Mech. Syst. Signal Pr., 116(2019), 545-565.
  13. Liang, Y.J. and Wu, S.L. (2013), "Optimal vibration control for tracked vehicle suspension systems", Math. Probl. Eng., 178354-1-178354-7.
  14. Lin, C., Gao, F. and Bai, Y. (2018), "An intelligent sampling approach for metamodel-based multi-objective optimization with guidance of the adaptive weighted-sum method", Struct. Multidiscip. O., 57(3), 1047-1060. https://doi.org/10.1007/s00158-017-1793-2
  15. Mahmoodabadi, M.J., Farhadi, F. and Sampour, S. (2018), "Firefly algorithm based optimum design of vehicle suspension systems", Int. J. Dynam. Control.
  16. Panzade, P.K. (2005), "Modeling and Analysis of full vehicle for ride and handling", M.E. Thesis, PSG College of Technology, Coimbatore.
  17. Sedighizadeh, M., Faramarzi, H., Mahmoodi, M.M. and Sarvi, M. (2014), "Hybrid approach to FACTS devices allocation using multi-objective function with NSPSO and NSGA-II algorithms in Fuzzy framework", Int. J. Elec. Power Energ. Syst., 62, 586-598.
  18. Seifi, A., Hassannejad, R. and Hamed, M.A. (2015), "Optimum design for passive suspension system of a vehicle to prevent rollover and improve ride comfort under random road excitations", Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 230(4), 426-441. https://doi.org/10.1177/1464419315618034
  19. Shirahatt, A., Prasad, P.S.S., Panzade, P. and Kulkarni, M.M. (2008), "Optimal design of passenger car suspension for ride and road holding", J. Braz. Soc. Mech. Sci. Eng., 30(1), 66-76. https://doi.org/10.1590/S1678-58782008000100010
  20. Shojaeefard, M.H., Khalkhali, A., Faghihian, H. and Dahmardeh, M. (2017), "Optimal platform design using non-dominated sorting genetic algorithm II and technique for order of preference by similarity to ideal solution; application to automotive suspension system", Engineering Optimization, 50(3), 471-482.
  21. Thomson W.T. and Dahleh, M.D. (1998), Theory of Vibration with Applications, (5th Ed.), Upper Saddle River, NJ: Prentice Hall.
  22. Tong, W. and Guo, K.H. (2012), "Simulation testing research on ride comfort of vehicle with global-coupling torsion-elimination suspension", Phys. Procedia, 33, 1741-1748. https://doi.org/10.1016/j.phpro.2012.05.279
  23. Uys, P.E., Els, P.S. and Thoresson, M. (2007), "Suspension settings for optimal ride comfort of off-road vehicles travelling on roads with different roughness and speeds", J. Terramechanics, 44(2), 163-175. https://doi.org/10.1016/j.jterra.2006.05.002
  24. Zhang, Y., Liu, G., Wang, P. and Karimi H. R. (2013), "Finite frequency vibration control for polytopic active suspensions via dynamic output feedback", Math. Problem. Eng., 598489-1-598489-12.