Multi-objective Optimization of Vehicle Passive Suspension with a Two-Terminal Mass Using Chebyshev Goal Programming
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:57286", author = "Chuan Li and Ming Liang and Qibing Yu", title = "Multi-objective Optimization of Vehicle Passive Suspension with a Two-Terminal Mass Using Chebyshev Goal Programming", abstract = "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 = "Vehicle, passive suspension, two-terminal mass,optimization, Chebyshev goal programming", volume = "5", number = "4", pages = "803-6", }
