VERTICAL VIBRATION ANALYSIS OF A FORMULA STUDENT VEHICLE USING DIFFERENT SUSPENSION SYSTEM CONFIGURATIONS

Constantin-Cosmin DANCI, Irina DUMA, Thomas Imre Cyrille BUIDIN, Nicolae CORDOȘ, Adrian TODORUȚ

Abstract


The paper captures studies on the influence of vertical vibrations on the dynamic behavior of the racing vehicle of the ART TU Cluj-Napoca Formula Student Team. In order to evaluate the effects of mechanical vibrations, at different frequencies, on the vehicle during its movement on the circuit, respectively on its dynamics, two possible configurations of the suspension system, specific to Formula Student vehicles, were proposed - the configuration with spring, damper and anti-roll bar and the configuration with spring and damper. In this respect, based on the input data, and by developing two working models in MATLAB software - for a quarter vehicle and for a bicycle-type vehicle, comparative results were obtained, with graphical interpretation, which allow to identify the influences generated by vertical vibrations on the dynamic behavior of the considered vehicle.

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Calvo, J.A.; Díaz, V.; San Román, J.L., Establishing inspection criteria to verify the dynamic behaviour of the vehicle suspension system by a platform vibrating test bench. International Journal of Vehicle Design, Volume 38, Issue 4, 2005, Pages 290-306, ISSN: 0143-3369, Inderscience Publishers, https://doi.org/10.1504/IJVD.2005.007623.

Chen, E.; et al., Study on chaos of nonlinear suspension system with fractional-order derivative under random excitation. Chaos, Solitons and Fractals, Volume 152, November 2021, Article Number 111300, ElsevierLtd, https://doi.org/10.1016/ j.chaos.2021.111300.

Chepkasov, S.; Markin, G.; Akulova, A., Suspension kinematics study of the "Formula SAE" sports car. Procedia Engineering, Volume 150, May 2016, Pages 1280-1286, ISSN: 1877-7058, Elsevier Ltd, https://doi.org/10.1016/j.proeng.2016.07.288.

Danci, C.C. et al., Comparative evaluation of the dynamic behavior of tires equipping Formula Student vehicles using mathematical modelling. Cluj-Napoca, Acta Technica Napocensis, Series: Applied Mathematics, Mechanics, and Engineering, Vol. 66, Issue I, March, 2023, Pages 159-166, Editura U.T.PRESS, ISSN 1221-5872, https://atna-mam.utcluj.ro/index.php/Acta/article/view/2110/1679.

Darus, R.; Sam, Y.M.; Modeling and Control Active Suspension System for a Full Car Model. 5th International Colloquium on Signal Processing & Its Applications, 2009, https://doi.org/10.1109/CSPA.2009.5069178.

Fernandes, J.C.M.; Gonçalves, P.J.P.; Silveira, M., Interaction between asymmetrical damping and geometrical nonlinearity in vehicle suspension systems improves comfort. Nonlinear Dynamics, Volume 99, Issue 2, January 2020, Pages 1561-1576, ISSN: 0924-090X, Springer, https://doi.org/10.1007/s11071-019-05374-y.

Genta, G.; Genta, A., Road Vehicle Dynamics - Fundamentals of Modeling and Simulation. Series on Advances in Mathematics for Applied Sciences, Vol. 88, February 2017, World Scientific Publishing Co. Pte. Ltd, https://doi.org/10.1142/9738.

Gobbi, M.; Guarneri, P.; Mastinu, G.; Rocca, G., Test rig for characterization of automotive suspension systems. SAE International Journal of Passenger Cars - Electronic and Electrical Systems, Volume 1, Issue 1, 2009, Pages 568-576, ISSN: 1946-4622, https://doi.org/10.4271/2008-01-0692.

Guiggiani, M., The Science of Vehicle Dynamics: Handling, Braking, and Ride of Road and Race Cars. Pisa, Italy, Springer Dordrecht Heidelberg New York London, 2014.

Hemanth, K. et al., Vertical dynamic analysis of a quarter car suspension system with MR damper. Journal of the Brazilian Society of Mechanical Sciences and Engineering, Volume 39, Issue 1, January 2017, Pages 41-51, ISSN: 1678-5878, Springer Verlag, https://doi.org/10.1007/ s40430-015-0481-7.

Jawad, B.A.; Baumann, J., Design of Formula SAE suspension. SAE Technical Papers, December 2002, ISSN: 0148-7191, SAE International, https://doi.org/10.4271/ 2002-01-3310.

Jazar, R.N., Vehicle Dynamics: Theory and Application, Third Edition.Gewerbestrasse 11, 6330 Cham, Switzerland, Springer International Publishing AG, 2017.

Kavitha, C. et al., Adaptive suspension strategy for a double wishbone suspension through camber and toe optimization. Engineering Science and Technology, an International Journal, Volume 21, Issue 1, February 2018, Pages 149-158, Elsevier B.V., https://doi.org/10.1016/ j.jestch.2018.02.003.

Kulkarni, A.; Ranjha, S.A.; Kapoor, A., A quarter-car suspension model for dynamic evaluations of an in-wheel electric vehicle. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, Volume 232, August 2018, Pages 1139-1148, ISSN: 0954-4070, SAGE Publications Ltd, https://doi.org/10.1177/0954407017727165.

Kumar, Y. et al., Kinematic and Structural Analysis of Independent type suspension system with Anti-Roll bar for Formula Student Vehicle. 2021 Materials Today: Proceedings, Department of Mechanical Engineering, Zakir Husain College of Engineering and Technology, Aliagarh Muslim University, https://doi.org/10.1016/ j.matpr.2021.09.247.

Madhu, A.; Aravind, J.R., Software tool development for estimating forces acting on a formula student racing vehicle using simple vehicle dynamics models. Transportation Engineering, Volume 2, December 2020, ISSN: 2666-691X, Elsevier Ltd, https://doi.org/10.1016/ j.treng.2020.100016.

Marchesin, F.P. et al., Upright mounted pushrod: The effects on racecar handling dynamics. The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015, August 2015, Pages 543-552, CRC Press/Balkema, https://doi.org/ 10.1201/b21185-59.

Nabawy, A.E.; Abdelrahman, A.A.; et al., Analysis of the Dynamic Behavior of the Double Wishbone Suspension System. International Journal of Applied Mechanics, Volume 11, June 2019, Mechanical Design and Production Department Faculty of Engineering, Zagazig University Zagazig, World Scientific Publishing Europe Ltd., https://doi.org/10.1142/S1758825119500443.

Pridie, A.C.; Antonya, C.; The theoretical study of an interconnected suspension system for a formula student car. Applied Sciences (Switzerland), Volume 11, Issue 12, June 2021, Article number 5507, ISSN: 2076-3417, MDPI AG, https://doi.org/10.3390/app11125507.

Rao, S.S., Mechanical Vibrations. Pearson education. Inc, 6th edition, London, 2017.

Reddy, K.V.; Kodati, M.; Chatra, K.; Bandyopadhyay, S., A comprehensive kinematic analysis of the double wishbone and MacPherson strut suspension systems. Mechanism and Machine Theory, Volume 105, November 2016, Pages 441-470, ISSN: 0094-114X, Elsevier Ltd, https://doi.org/10.1016/j.mechmachtheory.2016.06.001.

Saurabh, Y.S. et al., Design of Suspension System for Formula Student Race Car. Procedia Engineering 12th International Conference on Vibration Problems, Volume 144, December 2015, Pages 1138-1149, ISSN: 1877-7058, Elsevier Ltd, https://doi.org/10.1016/j.proeng.2016.05.081.

Schommer, A.; Soliman, P.; Farias, L.T.; Martins, M., Analysis of a Formula SAE Vehicle Suspension: Chassis Tuning. SAE Technical Papers, 24th SAE Brasil International Congress and Display, BRASILCONG 2015, ISSN: 0148-7191, SAE International https://doi.org/ 10.4271/2015-36-0275.

Shin, D. et al., Motorized vehicle active suspension damper control with dynamic friction and actuator delay compensation for a better ride quality. Proc IMechE Part D: J Automobile Engineering 2016, https://doi.org/10.1177/0954407015598670.

Zaidie, M.N.A. et al., Analysis of a front suspension system for UniART FSAE car using FEA. Journal of Physics: Conference Series, Volume 908, Issue 1, October 2017, Article number 012058, ISSN: 1742-6588, Institute of Physics Publishing, https://doi.org/ 10.1088/1742-6596/908/1/012058.

Zauner, C.; Edelmann, J.; Plöchl, M., Modelling, validation and characterisation of high-performance suspensions by means of a suspension test rig. International Journal of Vehicle Design, Volume 79, Issue 2-3, 2019, Pages 107-126, ISSN: 0143-3369, Inderscience Publishers, https://doi.org/10.1504/IJVD.2019.102333.

***Create symbolic scalar variables and functions, and matrix variables and functions. https://www.mathworks.com/help/symbolic/syms.html, (Accessed 18.06.2023).

***Formula Student. https://www.global-formula-racing.com/en/formula-student/, (Accessed 11.06.2023).

***Formula SAE Knowledge, https://www.sae.org/attend/student-events/formula-sae-knowledge/about, (Accessed 11.06.2023).

***Polynomial Roots. https://www.mathworks.com/help/matlab/ref/roots.html, (Accessed 18.06.2023).


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