SURROGATE MODELING APPROACH FOR STATISTICAL SIMULATION OF LINEAR CAR SUSPENSION DYNAMICS
Abstract
A parametric uncertainty analysis of a car suspension system was conducted in this study. Four degrees-of-freedom (DOF) mathematical models were developed for both passive and semi-active suspension systems, and the uncertainty of these models was analyzed using a surrogate modeling approach. This approach employed polynomial-based surrogate models to simulate uncertainties, offering an alternative to traditional Monte Carlo (MC) simulations. The results indicate that the surrogate modeling method is not only more computationally efficient but also robust in capturing the uncertainty in dynamic systems compared to the MC approach, making it a powerful tool for the statistical simulation of linear car suspension dynamics.
Keywords – surrogate modeling, linear car suspension dynamics, uncertainty analysis, polynomial-based surrogate model, Monte Carlo method
References
1. Paul W. Talbot. (2016) ”Advanced Stochastic Collocation Methods for Polynomial Chaos in raven.” Fall 11-15-2016
2. Tyson, S., Donovan, D., Thompson, B., Lynch, S., Tas, M. (2015) ”Uncertainty Modelling with Polynomial Chaos Expansion.” ISBN: 978-1-74272-173-6.
3. Bruno SUDRET. ”Response surfaces based on polynomial chaos expansions.” Construction Reliability (pp.147-168) Chapter 8
4. M. S. Eldred,J. Burkardt (2009) Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification.” American Institute of Aeronautics Paper 2009-0976
5. Serhat Hosder,Robert W. Walters (2010)”Non-Intrusive Polynomial Chaos Methods for Uncertainty Quantification in Fluid Dynamics.” 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition
6. G. Onoratoy, G.J.A. Loeven, G. Ghorbaniasly, H.Bijl, C. Lacory (2010)”Comparison of intrusive and non-intrusive polynomial chaos methods for CFD applications in aeronautics.” V European Conference on Computational Fluid Dynamics, Lisbon, Portugal,14-17 June 2010
7. S. Abdufattokhov, K. Ibragimova, D. Gulyamova, K. Tulaganov, “Gaussian Processes Regression based Energy System Identification of Manufacturing Process for Model Predictive Control,” International Journal of Emerging Trends in Engineering Research, vol. 8, no. 9, pp. 4927-4932, 2020.
8. Igor S. Stievano, Senior Member, IEEE, Paolo Manfredi, Student Member, IEEE, and Flavio G. Canavero, Fellow, ”Stochastic Analysis of Multiconductor Cables and Interconnects.” IEEE Transactions on Electromagnetic Compatibility, vol. 53, no. 2, pp. 501-507, 2011.
9. Riccardo Trinchero, Member, Paolo Manfredi, Member, Igor S. Stievano, Senior-Member, Flavio G. Canavero, Fellow, (2011) “Machine Learning for the Performance Assessment of High-Speed Links .”, .” IEEE Transactions on Electromagnetic Compatibility, vol. 60, no. 6, pp. 1627-1634, 2018.
10. Feng Tyan, Yu-Fen Hong,Shun-Hsu Tu, Wes S. Jeng (2011)” Generation of Random Road Profiles .” Journal of Advanced Engineering, vol.4, no. 2, pp. 151-156, 2009.
11. Ling Feng,Ma Ze-yu,Tang Zheng-fei,Chen Yong-Fu (2013)” Uncertainty Analysis of Vehicle Suspension systems Based on Polynomial Chaos Methods .”, 2013 Fourth International Conference on Intelligent Systems Design and Engineering Applications
12. Bhanu Chander (2009)” Modelling and Analysis of Half Car Vehicle Suspension System Using Fuzzy Logic Controller .”
13. Tejas P. Turakhia Prof. M. J. Modir (2016)” Mathematical Modelling and Simulation of a Simple Half – Car Vibration Model .”
14. K. Hemanth, Hemantha Kumar and K. V. Gangadharanr ” Dynamic Analysis of Half Car Model with MR Damper as Semi-Active Suspension Element .” International Journal of Acoustics and Vibration, Vol. 23, No. 2, 2018
15. S. Abdufattokhov, K. Ibragimova, M. Khaydarova, A. Abdurakhmanov, , “Data-Driven Finite Horizon Control Based On Gaussian Processes And Its Application To Building Climate Control,” International Journal on Technical and Physical Problems of Engineering (IJTPE), vol. 3, no. 2, pp. 4927-4932, 2021.
16. Sulaymon Eshkabilov” Modeling and simulation of non-linear and hysteresis behavior of magneto-rheological dampers in the example of quarter-car model .”, Engineering Mathematics, vol. 1, no. 1, pp. 19-38, 2016
17. Fei Hu (2015)” Road profile recovery using vertical acceleration .”
