Vibration dynamics of a dependent suspension system of half-car model with tire-road separation
Email:
quynd@lqdtu.edu.vn
Từ khóa:
Dependent Suspension, Vibration Dynamics, Tire-Road Separation, Roll Dynamics, Vehicle safety, Ride comfort
Tóm tắt
This paper presents a vibration analysis of a truck suspension system using a dependent vibrating half-car model to evaluate its dynamic behavior under tire-road contact and separation conditions. The proposed model consists of four degrees of freedom and considers the coupled motions between the front and rear wheels. A numerical approach is applied to calculate the vertical and roll responses of the suspension system under different road excitations. The equations of motion are formulated by incorporating the tire-road separation condition for both wheels, allowing the transition between contact and separation states to be examined. The effects of road profiles and suspension parameters on the dynamic responses are analyzed in both the time and frequency domains. The results show that considering tire-road separation provides a more realistic prediction of vehicle vibration behavior compared with the conventional assumption of continuous tire-road contact. The findings can be used as a reference for suspension design and for developing control methods aimed at improving vehicle stability and rollover resistance.Tài liệu tham khảo
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[8]. N. Jazar, R. (2013). Advanced vibration: A modern approach. Springer Science & Business Media. https://link.springer.com/book/10.1007/978-1-4614-4160-1
[9]. ˇZuraulis, V., Levulyt˙e, L., & Sokolovskij, E. (2014). The impact of road roughness on the duration of contact between a vehicle wheel and road surface. Transport, 29 (4), 431–439. https://www.tandfonline.com/doi/abs/10.3846/16484142.2014.984330
[10]. Nguyen, Q. D., Jazar, R.N. (2022). Numerical Simulation and Experimental validation of the Tire-Road Separation in Quarter-car Model. 16th International Conference on Automotive and Mechanical Engineering ICAME. https://publications.waset.org/10013266/numerical-simulation-and-experimental-validation-of-the-tire-road-separation-in-quarter-car-model
[11]. Khazaie, A., Hussaini, N., Marzbani, H. and Jazar, R.N., 2018. Quarter Car Suspension Model with Provision for Loss of Contact with the Road. In Nonlinear Approaches in Engineering Applications (pp. 167-208). Springer. https://link.springer.com/chapter/10.1007/978-3-319-69480-1_7
[12]. J. Y. Wong, Theory of Ground Vehicles. Hoboken. John Wiley & Sons, 2022. https://onlinelibrary.wiley.com/doi/book/10.1002/9781119719984
[13]. Nguyen, Q. D., Milani, S., Vo, D., Marzbani, H., & Jazar, R. N. (2021). Vibration analysis of the bicycle-car model considering tire-road separation. SAE International Journal of Commercial Vehicles (02-15-02-0004). https://doi.org/10.4271/02-19-04-0021
[14]. Nguyen, Q. D., Milani, S., Marzbani, H., & Jazar, R. N. (2021a). Tire-road separation time reduction by an adaptive pid controller utilizing particle swarm optimization algorithm. SAE International Journal of Commercial Vehicles, 14 (02-14-04-0033). https://www.sae.org/publications/technical-papers/content/02-14-04-0033/
[15]. Nguyen, Q. D., Milani, S., Marzbani, H., & Jazar, R. N. (2021b). Vehicle vibrations analysis of the quarter-car model considering tire-road separation. In Dai l., Jazar r. (eds) nonlinear approaches in engineering applications: Design engineering problems. Springer, New York. https://link.springer.com/chapter/10.1007/978-3-030-82719-9_9
[16]. Nguyen, Q. D., Milani, S., Marzbani, H., & Jazar, R. N. (2022). Vehicle ride analysis considering tire-road separation. journal of Sound and Vibration, 521, p.116674. https://www.sciencedirect.com/science/article/abs/pii/S0022460X21006854
[2]. National Highway Traffic Safety Administration, “Characteristics of fatal rollover crashes”, DOT HS 809 438, Washington, DC, Apr. 2002. https://crashstats.nhtsa.dot.gov/Api/Public/ViewPublication/809438
[3]. R. N. Jazar and H. Marzbani, Vehicle Vibrations: Linear and Nonlinear Analysis, Optimization, and Design. Cham, Switzerland: Springer, 2024. https://link.springer.com/book/10.1007/978-3-031-43486-0
[4]. Parczewski, K., & Wnęk, H. (2017). The influence of vehicle body roll angle on the motion stability and maneuverability of the vehicle. Combustion Engines, 56(1), 133-139. https://www.mendeley.com/catalogue/9fb1f04a-3849-3b88-acdf-a4d235920eb1/
[5]. J. Wang and S. Shen, “Integrated vehicle ride and roll control via active suspensions”, Vehicle System Dynamics, vol. 46, pp. 495-508, Sep.2008. https://www.tandfonline.com/doi/full/10.1080/00423110801993128
[6]. N. Rosam and J. Darling, “Development and simulation of a novel roll control system for the interconnected hydragas suspension”, Vehicle System Dynamics, 27, pp. 1-18, 1997. https://www.tandfonline.com/doi/abs/10.1080/00423119708969320
[7]. Wang, L., Zhang, N. and Du, H., 2009, December. Design and experimental investigation of demand dependent active suspension for vehicle rollover control. In Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference (pp. 5158-5163). IEEE. https://ieeexplore.ieee.org/document/5399853
[8]. N. Jazar, R. (2013). Advanced vibration: A modern approach. Springer Science & Business Media. https://link.springer.com/book/10.1007/978-1-4614-4160-1
[9]. ˇZuraulis, V., Levulyt˙e, L., & Sokolovskij, E. (2014). The impact of road roughness on the duration of contact between a vehicle wheel and road surface. Transport, 29 (4), 431–439. https://www.tandfonline.com/doi/abs/10.3846/16484142.2014.984330
[10]. Nguyen, Q. D., Jazar, R.N. (2022). Numerical Simulation and Experimental validation of the Tire-Road Separation in Quarter-car Model. 16th International Conference on Automotive and Mechanical Engineering ICAME. https://publications.waset.org/10013266/numerical-simulation-and-experimental-validation-of-the-tire-road-separation-in-quarter-car-model
[11]. Khazaie, A., Hussaini, N., Marzbani, H. and Jazar, R.N., 2018. Quarter Car Suspension Model with Provision for Loss of Contact with the Road. In Nonlinear Approaches in Engineering Applications (pp. 167-208). Springer. https://link.springer.com/chapter/10.1007/978-3-319-69480-1_7
[12]. J. Y. Wong, Theory of Ground Vehicles. Hoboken. John Wiley & Sons, 2022. https://onlinelibrary.wiley.com/doi/book/10.1002/9781119719984
[13]. Nguyen, Q. D., Milani, S., Vo, D., Marzbani, H., & Jazar, R. N. (2021). Vibration analysis of the bicycle-car model considering tire-road separation. SAE International Journal of Commercial Vehicles (02-15-02-0004). https://doi.org/10.4271/02-19-04-0021
[14]. Nguyen, Q. D., Milani, S., Marzbani, H., & Jazar, R. N. (2021a). Tire-road separation time reduction by an adaptive pid controller utilizing particle swarm optimization algorithm. SAE International Journal of Commercial Vehicles, 14 (02-14-04-0033). https://www.sae.org/publications/technical-papers/content/02-14-04-0033/
[15]. Nguyen, Q. D., Milani, S., Marzbani, H., & Jazar, R. N. (2021b). Vehicle vibrations analysis of the quarter-car model considering tire-road separation. In Dai l., Jazar r. (eds) nonlinear approaches in engineering applications: Design engineering problems. Springer, New York. https://link.springer.com/chapter/10.1007/978-3-030-82719-9_9
[16]. Nguyen, Q. D., Milani, S., Marzbani, H., & Jazar, R. N. (2022). Vehicle ride analysis considering tire-road separation. journal of Sound and Vibration, 521, p.116674. https://www.sciencedirect.com/science/article/abs/pii/S0022460X21006854
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18/05/2026
Nhận bài sửa
02/11/2026
Chấp nhận đăng
09/11/2026
Xuất bản
15/11/2026
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Kiểu trích dẫn
Nguyen Dang, Q., Do Van, T., Le Van, T., Lai Viet, A., Nguyen Dinh, T., Le Xuan, L., & Le Van, M. (1794675600). Vibration dynamics of a dependent suspension system of half-car model with tire-road separation. Tạp Chí Khoa Học Giao Thông Vận Tải, 77(9), 1198-1210. https://doi.org/10.47869/tcsj.77.9.6
