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Multi-objective Optimization of Vehicle Passive Suspension with a Two-Terminal Mass Using Chebyshev Goal Programming

Authors: Chuan Li, Ming Liang, Qibing Yu


To improve the dynamics response of the vehicle passive suspension, a two-terminal mass is suggested to connect in parallel with the suspension strut. Three performance criteria, tire grip, ride comfort and suspension deflection, are taken into consideration to optimize the suspension parameters. However, the three criteria are conflicting and non-commensurable. For this reason, the Chebyshev goal programming method is applied to find the best tradeoff among the three objectives. A simulation case is presented to describe the multi-objective optimization procedure. For comparison, the Chebyshev method is also employed to optimize the design of a conventional passive suspension. The effectiveness of the proposed design method has been clearly demonstrated by the result. It is also shown that the suspension with a two-terminal mass in parallel has better performance in terms of the three objectives.

Keywords: Optimization, Vehicle, passive suspension, two-terminal mass, Chebyshev goal programming

Digital Object Identifier (DOI):

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[1] W. A. Smith and N. Zhang, "Hydraulically interconnected vehicle suspension: optimization and sensitivity analysis," Journal of Automobile Engineering, vol. 224, no. D11, pp. 1335-1355, Nov. 2010.
[2] L. H. Nguyen, K. S. Hong and S. Park, "Road-Frequency Adaptive Control for Semi-Active Suspension Systems," International Journal of Control Automation and Systems, vol. 8, no. 5, pp. 1029-1038, Oct. 2010.
[3] M. Yu, X. M. Dong, S. B. Choi and C. R. Liao, "Human simulated intelligent control of vehicle suspension system with MR dampers," Journal of Sound and Vibration, vol. 319, no. 3-5, pp. 753-767, Jan. 2009.
[4] J. Willems, "Ports and terminals," Lecture Notes in Control and Information Sciences, vol. 398, pp. 27-36, Mar. 2010.
[5] D. Hrovat, "Survey of advanced suspension developments and related optimal control applications," Automatica, vol. 33, no. 10, pp. 1781-1817, Oct. 1997.
[6] E. Rivin, Passive vibration isolation, New York: ASME Press, 2003.
[7] M. Smith. "Synthesis of mechanical networks: the inerter," IEEE Transactions on Automatic Control, vol. 47, no.10, pp. 1648-1662, Oct. 2002
[8] F. Scheibe F and M.C. Smith, "Analytical solutions for optimal ride comfort and tyre grip for passive vehicle suspensions," Vehicle System Dynamics, Vol. 47, No. 10, pp. 1229-1252, 2009.
[9] C. Papageorgiou, M. C. Smith. "Positive real synthesis using matrix inequalities for mechanical networks: Application to vehicle suspension," IEEE Transactions on Control Systems Technology, vol. 14, no. 3, pp. 423-435, May. 2006.
[10] C. Li, J. L. Deng, S. L. Wang, X. M. Zhang and Y. T. Dong, "Research on the design theory of the mechanical-electrical analogy for the spiral flywheel motion conversion system," Chinese Journal of Mechanical Engineering, vol. 46, no. 3, pp. 103-108, Mar. 2010.
[11] C. Li, S. L. Wang, L. Kang, S. Lei and Q. B. Yu. "Two-terminal manipulation of masses: application to vibration isolation of passive suspensions," Journal of Vibroengineering, vol. 12, no. 2, pp. 225-236, Jun. 2010.
[12] C. Li, S. L. Wang, X. M. Zhang, Y. Bai and P. Li. "Analysis of vibration control performance for a novel vehicle suspension with spiral flywheel motion transformer," Journal of Vibration and Shock, vol. 29, no. 6, pp. 104-108, Jun. 2010.
[13] W. Sun, W. T. Xu, J. H. Lin, D. Kennedy and F. W. Williams. "Ride-comfort-oriented suspension optimization using the pseudo-excitation method," Journal of Automobile Engineering, vol. 224, no. D11, pp. 1357-1367, Nov. 2010.
[14] S. Hazr and M. K. Ghosh. "Vibration Isolation Performance of a Vehicle Suspension System Using Dual Dynamic Dampers," Advances in Vibration Engineering. Vol. 8, no.2 pp. 193-200, Apr. - Jun. 2009.
[15] K. G. Sung and S. B. Choi. "Effect of an electromagnetically optimized magnetorheological damper on vehicle suspension control performance," Journal of Automobile Engineering, vol. 222, no. D12, pp. 2307-2319, Dec. 2009.
[16] J. P. Ignizio. "Optimal maintenance headcount allocation: an application of Chebyshev goal programming," International Journal of Production Research, vol. 42, no. 1, pp. 201-210, Jan. 2004.
[17] W. Ogryczak. "Comments on properties of the minmax solutions in goal programming," European Journal of Operational Research, vol. 132, no. 1, pp. 17-21, Jul. 2001.
[18] F. Yu and Y. Lin, Vehicle System Dynamics, Beijing: Machinery Industrial Press, pp. 296-300, 2005.
[19] G. Georgiou, G. Verros and S. Natsiavas. "Multi-objective optimization of quarter-car models with a passive or semi-active suspension system," Vehicle Systems Dynamics, vol. 45, no. 1, pp. 77-92, Jan. 2007.