Under complex conditions, the vertical, lateral and longitudinal dynamics of vehicles have obvious coupling and interaction. This paper aims to provide a suitable driver cab and a vehicle model for the study of vehicle coupling dynamic performance. In modeling the cab and body kinetic equation, two shock absorbers are considered in the front axle suspension system. In addition, the vertical, roll and pitch motion of the diver cab, vehicle body, the vertical and roll behavior of three wheel axles, the pitch angles of the left and right balancing pole on rear suspension, and roll angle the of each tire are considered. Finally, based on the above coupled motion characteristics, a diver cab and a vehicle model for three-axles heavy-duty vehicle with 26 degrees of freedom (DOF) are proposed.
Citation: Yongming Li, Shou Ma, Kunting Yu, Xingli Guo. Vehicle kinematic and dynamic modeling for three-axles heavy duty vehicle[J]. Mathematical Modelling and Control, 2022, 2(4): 176-184. doi: 10.3934/mmc.2022018
Under complex conditions, the vertical, lateral and longitudinal dynamics of vehicles have obvious coupling and interaction. This paper aims to provide a suitable driver cab and a vehicle model for the study of vehicle coupling dynamic performance. In modeling the cab and body kinetic equation, two shock absorbers are considered in the front axle suspension system. In addition, the vertical, roll and pitch motion of the diver cab, vehicle body, the vertical and roll behavior of three wheel axles, the pitch angles of the left and right balancing pole on rear suspension, and roll angle the of each tire are considered. Finally, based on the above coupled motion characteristics, a diver cab and a vehicle model for three-axles heavy-duty vehicle with 26 degrees of freedom (DOF) are proposed.
[1] | Y. Lu, S. Yang, S. Li and L. Chen, Numerical and experimental investigation on stochastic dynamic load of a heavy duty vehicle, Appl. Math. Model., 34 (2010), 2698–2710. https://doi.org/10.1016/j.apm.2009.12.006 doi: 10.1016/j.apm.2009.12.006 |
[2] | Q. Deng, A general simulation framework for modeling and analysis of heavy-duty vehicle platooning, IEEE T. Intell. Transp., 17 (2016), 3252–3262. 10.1109/TITS.2016.2548502 |
[3] | S. Singh, S. Santhakumar, Modeling traffic parameters accounting for platoon characteristics on multilane highways, Transp. Dev. Econ., 69 (2022), 84–96. https://doi.org/10.1007/s40890-022-00166-3 doi: 10.1007/s40890-022-00166-3 |
[4] | M. Sala, F. Soriguera, Macroscopic modeling of connected autonomous vehicle platoons under mixed traffic conditions, Transportation Research Procedia, 47 (2020), 163–170. https://doi.org/10.1016/j.trb.2021.03.010 doi: 10.1016/j.trb.2021.03.010 |
[5] | Z. Ju, H. Zhang, Y. Tan, Distributed stochastic model predictive control for heterogeneous vehicle platoons subject to modeling uncertainties, IEEE Intel. Transp. Sy., 14 (2022), 25–40. |
[6] | R. Merco, F. Ferrante, P. Pisu, A hybrid controller for DOS-resilient string-stable vehicle platoons, IEEE T. Intel. Transp., 22 (2021), 1697–1707. https://doi.org/10.1109/TITS.2020.29758151 doi: 10.1109/TITS.2020.29758151 |
[7] | L. Xu, W. Zhuang, G. Yin, C. Bian, H. Wu, Modeling and robust control of heterogeneous vehicle platoons on curved roads subject to disturbances and delays, IEEE T. Veh. Technol., 68 (2019), 11551–11564. https://doi.org/10.1109/TVT.2019.2941396 doi: 10.1109/TVT.2019.2941396 |
[8] | Y. Zheng, S. Li, K. Li, F. Borrelli, J. Hedrick, Distributed model predictive control for heterogeneous vehicle platoons under unidirectional topologies, IEEE T. Contr. Syst. T., 25(3) (2017), 899–910. https://doi.org/10.1109/TCST.2016.2594588 doi: 10.1109/TCST.2016.2594588 |
[9] | J. Zhan, Z. Ma, L. Zhang, Data-driven modeling and distributed predictive control of mixed vehicle platoons, IEEE Transactions on Intelligent Vehicles, (2022). https://doi.org/10.1109/TIV.2022.3168591 doi: 10.1109/TIV.2022.3168591 |
[10] | J. Guo, H. Guo, J. Liu, D. Cao, H. Chen, Distributed data-driven predictive control for hybrid connected vehicle platoons with guaranteed robustness and string stability, IEEE Internet of Things Journal, 9 (2022), 16308–16321. |
[11] | T. Legouis, A. Laneville, P. Bourassa, G. Payre, Characterization of dynamic vehicle stability using two models of the human pilot behaviour, Vehicle Syst. Dyn., 15 (1986), 1–18. https://doi.org/10.1080/00423118608968837 doi: 10.1080/00423118608968837 |
[12] | M. Jeleva, B. Villeneuve N. Muralidhar, M. Himabindu, R. Ravikrishna, Modeling of a hybrid electric heavy duty vehicle to assess energy recovery using a thermoelectric generator, Energy, 148 (2018), 1046–1059. https://doi.org/10.1016/j.energy.2018.02.023 doi: 10.1016/j.energy.2018.02.023 |
[13] | E. Berton, N. Bouaanani, C. Lamarche, N. Roy, Finite element modeling of the impact of heavy vehicles on highway and pedestrian bridge decks, Procedia Engineering, 199 (2017), 2451–2456. https://doi.org/10.1016/j.proeng.2017.09.383 doi: 10.1016/j.proeng.2017.09.383 |
[14] | Y. Yang, H. Wang, G. Xia, Modeling and simulation analysis of wet multi-disk service braking system for heavy vehicles, IEEE Access, 8 (2020), 150059–150071. https://doi.org/10.1109/access.2020.3016663 doi: 10.1109/access.2020.3016663 |
[15] | Z. Liu, G. Payre, P. Bourassa, Nonlinear oscillations and chaotic motions in a road vehicle system with driver steering control, Nonlinear Dynamics, 9 (1996), 281–304. https://doi.org/10.1007/bf01833746 doi: 10.1007/bf01833746 |
[16] | Z. Liu, G. Payre, P. Bourassa, Stability and oscillations in a time-delayed vehicle system with driver control, Nonlinear Dynamics, 35 (2004), 159–173. https://doi.org/10.1023/b:nody.0000021080.06727.f8 doi: 10.1023/b:nody.0000021080.06727.f8 |
[17] | L. Serrao, C. Hubert, G. Rizzoni, Dynamic modeling of heavy-duty hybrid electric vehicles, ASME International Mechanical Engineering Congress and Exposition, 43106 (2007), 121–128. https://doi.org/10.1115/imece2007-41923 doi: 10.1115/imece2007-41923 |
[18] | H. Ahmadi Jeyed, A. Ghaffari, Modeling and performance evaluation of a heavy-duty vehicle based on the hydraulic power steering system, Simulation, 96 (2020), 297–311. https://doi.org/10.1177/0037549719866503 doi: 10.1177/0037549719866503 |
[19] | S. Li, J. Ren, Driver steering control and full vehicle dynamics study based on a nonlinear three-directional coupled heavy-duty vehicle model, Math. Probl. Eng., 22 (2014), 1–16. https://doi.org/10.1155/2014/352374 doi: 10.1155/2014/352374 |
[20] | S. Li, J. Ren, Investigation on three-directional dynamic interaction between a heavy-duty vehicle and a curved bridge, Adv. Struct. Eng., 21 (2018), 721–738. https://doi.org/10.1177/1369433217729516 doi: 10.1177/1369433217729516 |