Vehicle’s Dynamic Behavior in Fishhook Maneuver by Considering the Engine Dynamics
الموضوعات :Ali Shahabi 1 , Amir Hossein Kazemian 2 , Said Farahat 3 , Faramarz Sarhaddi 4
1 - Department of Mechanical Engineering,
University of Sistan and Baluchestan, Iran
2 - Department of Mechanical Engineering,
University of Sistan and Baluchestan, Iran
3 - Department of Mechanical Engineering,
University of Sistan and Baluchestan, Iran
4 - Department of Mechanical Engineering,
University of Sistan and Baluchestan, Iran
الکلمات المفتاحية: Vehicle Coordinate System, Pacejka Model, Gyroscopic Effects, Crankshaft,
ملخص المقالة :
In order to study on the vehicle’s dynamic behavior, this study presents a new dynamic modeling of the vehicle by considering the engine dynamics. The coordinate systems are considered separately for the sprung mass and unsprung masses. By using Newton’s equations of motion, the force-torque equations of the sprung mass and unsprung masses are derived in the vehicle coordinate system. In general, the sprung mass in modeling of the vehicle is considered as a rigid body. However, in this study the components rotation of the sprung mass such as the engine crankshaft is considered and its gyroscopic effects are exerted in the governing equations. The lateral and longitudinal forces of the tire are evaluated by Pacejka model. In fishhook maneuver, the vehicle's dynamic behavior is studied by the numerical simulation method under the supervision of the National Highway Traffic Safety Administration (NHTSA). The numerical simulation results are also validated by ADAMS/Car software. According to the results, the 15-DOF model in this research simulates the vehicle’s dynamic behavior with a good accuracy and the maximum roll rate of the vehicle reaches about 37 degrees per second.
[1] Heydinger, G. J., Howe, J.G., Analysis of Vehicle Response Data Measured During Severe Maneuvers, SAE Transactions, 2000, pp. 2154-2167.
[2] Forkenbrock, G. J., Garrott, W. R., Heitz, M., and O’Harra, B. C., A Comprehensive Experimental Examination of Test Maneuvers That May Induce on-Road, Untripped, Light Vehicle Rollover-Phase IV of NHTSA’s Light Vehicle Rollover Research Program, Report DOT HS, Vol. 809, No. 513, 2002.
[3] Nalecz, A. G., Lu, Z., and Lu, Z., Methodology for Tripped Vehicle Rollover Testing and Analysis of Experimental Results, SAE Transactions, 1994, pp. 104-131.
[4] Allen, R. W., Szostak, H. T., Rosenthal, T. J., Klyde, D. H., and Owens, K. J., Characteristics Influencing Ground Vehicle Lateral/Directional Dynamic Stability, SAE Transactions, 1991, pp. 336-361.
[5] Zulhilmi, I. M., Peeie, M. H., Asyraf, S. M., Sollehudin, I. M., and Ishak, I. M., Experimental Study on the Effect of Emergency Braking Without Anti-Lock Braking System to Vehicle Dynamics Behavior, International Journal of Automotive and Mechanical Engineering, Vol. 17, No. 2, 2020, pp. 7832-7841.
[6] Ahmadian, M., Integrating Electromechanical Systems in Commercial Vehicles for Improved Handling, Stability, and Comfort, SAE International Journal of Commercial Vehicles, Vol. 7, 2014, pp. 535-587.
[7] Ataei, M., Khajepour, A., and Jeon, S., Model Predictive Control for Integrated Lateral Stability, Traction/Braking Control, and Rollover Prevention of Electric Vehicles, Vehicle System Dynamics, Vol. 58, No. 1, 2020, pp. 49-73.
[8] Phanomchoeng, G., Rajamani, R., New Rollover Index for the Detection of Tripped and Untripped Rollovers, IEEE Transactions on Industrial Electronics, Vol. 60, No. 10, 2012, pp. 4726-4736.
[9] Peng, Y., Chen, J., and Ma, Y., Observer-Based Estimation of Velocity and Tire-Road Friction Coefficient for Vehicle Control Systems, Nonlinear Dynamics, Vol. 96, No. 1, 2014, pp. 363-387.
[10] Yuvapriya, T., Lakshmi, P., and Rajendiran, S., Vibration Suppression in Full Car Active Suspension System Using Fractional Order Sliding Mode Controller, Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 40, No. 4, 2018.
[11] Papaioannou, G., Dineff, A. M., and Koulocheris, D., Comparative Study of Different Vehicle Models with Respect to Their Dynamic Behavior, International Journal of Automotive and Mechanical Engineering, Vol. 16, 2019, pp. 7061-7092.
[12] Mehrtash, M., Yuen, T., and Balan, L., Implementation of Experiential Learning for Vehicle Dynamic in Automotive Engineering: Roll-Over and Fishhook Test, Procedia Manufacturing, Vol. 32, 2019, pp. 768-774.
[13] Wang, F., Chen, Y., A Novel Active Rollover Prevention for Ground Vehicles Based on Continuous Roll Motion Detection, Journal of Dynamic Systems, Measurement, and Control, Vol. 141, No. 1, 2019.
[14] Zhang, H., Liang, J., Jiang, H., Cai, Y., and Xu, X., Stability Research of Distributed Drive Electric Vehicle by Adaptive Direct Yaw Moment Control, IEEE Access, Vol. 7, 2019, pp. 106225-106237.
[15] Read, C., Viswanathan, H., An Aerodynamic Assessment of Vehicle-side Wall Interaction Using Numerical Simulation, International Journal of Automotive and Mechanical Engineering, Vol. 17, No. 1, 2020, pp. 7587-7598.
[16] Rajamani, R., Vehicle Dynamics and Control, Springer Science & Business Media, 2011.
[17] Gillespie, T. D., Fundamentals of Vehicle Dynamics, Society of Automotive Engineers Warrendale, Vol. 400, 1992.
[18] Meriam, J. L., Kraige, L. G., Engineering Mechanics: Dynamics, John Wiley & Sons, Vol. 2, 2012.
[19] Pacejka, H., Tire and Vehicle Dynamics, Elsevier, 2005.
[20] Bakker, E., Pacejka, H. B., and Lidner, L., A New Tire Model with an Application in Vehicle Dynamics Studies, SAE Transactions, 1989, pp. 101-113.
[21] Pacejka, H. B., Bakker, E., The Magic Formula Tyre Model, Vehicle System Dynamics, Vol. 21, No. S1, 1992, pp. 1-18.
[22] Bakker, E., Nyborg, L., and Pacejka, H. B., Tyre Modelling for Use in Vehicle Dynamics Studies, SAE Transactions, 1987, pp. 190-204.
[23] Lahmar, M., Frihi, D., and Nicolas, D., The Effect of Misalignment on Performance Characteristics of Engine Main Crankshaft Bearings, European Journal of Mechanics-A/Solids, Vol. 21, No. 4, 2002, pp. 703-714.
[24] Huang, T., Zhang, J., Chen, G., and Wang, C., Dynamic Balance Two-Dimensional Measuring of Crankshaft Assembly in Motorcycle Engine, IEEE Access, Vol. 8, 2020, pp. 133757-133766.
[25] Ahmadabadi, Z. N., Nonlinear Energy Transfer from an Engine Crankshaft to an Essentially Nonlinear Attachment, Journal of Sound and Vibration, Vol. 443, 2019, pp. 139-154.
[26] Mourelatos, Z. P., A Crankshaft System Model for Structural Dynamic Analysis of Internal Combustion Engines, Computers & Structures, Vol. 79, No. 20-21, 2001, pp. 2009-2027.
[27] Fonseca, L., De Faria, A., Crankshaft Deep Rolling Analysis Through Energy Balance Simulation Output, Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 41, No. 10, 2019.
[28] Drab, C. B., Engl, H. W., Haslinger, J. R., Offner, G., Pfau, R., and Zulehner, W., Dynamic Simulation of Crankshaft Multibody Systems, Multibody System Dynamics, Vol. 22, No. 2, 2009, pp. 133-144.
[29] Newmark, N. M., A Method of Computation for Structural Dynamics, Journal of the Engineering Mechanics Division, Vol. 85, No. 3, 1959, pp. 67-94.
