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A Comparative Analysis of a Rigid Bicycle Model with an Elastic Bicycle Model for Small Trucks
Technical Paper
2011-01-0240
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
The planar rigid bicycle model is one of the most popular models used in vehicle dynamics. It has widely been used in studying vehicle handling characteristics and designing steering control system for vehicles. This paper analyses a modified dynamic model called the "Elastic Bicycle Model." This model improves upon the classical bicycle model by taking into account the flexibility of the vehicle frame by using concepts from the Euler beam theory. Complete set of the resulting dynamic equations of this model are presented. Non-dimensional versions of the equations are used to investigate the steady state response of the model. Finally, the results of the response study obtained by modeling a small truck with an elastic model and the classical bicycle model are presented. These include the steady state solutions as function of different parameters as well as a transient solution in response to a saw-tooth steering input and a step input. Octave® has been used for simulation purpose. Differences are observed in the response of a truck using the rigid bicycle model and the elastic bicycle model.
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Citation
Talukdar, S. and Kulkarni, S., "A Comparative Analysis of a Rigid Bicycle Model with an Elastic Bicycle Model for Small Trucks," SAE Technical Paper 2011-01-0240, 2011, https://doi.org/10.4271/2011-01-0240.Also In
Reliability and Robust Design in Automotive Engineering, 2011
Number: SP-2306; Published: 2011-04-12
Number: SP-2306; Published: 2011-04-12
References
- Smith, D. E. Starkey, J. M. “Effects of model complexity on the performance of automated vehicle steering controllers: model development, validation and comparison” Vehicle Systems Dynamics 23 627 645 1994
- Will, A. B. Zak, S. H. “Modelling and control of an automated vehicle” Vehicle System Dynamics 27 3 131 155 1997
- Hegazy, S. Rahnejat, H. Hussain, K. “Multi-Body Dynamics in Full-Vehicle Handling Analysis under Transient Maneuver” Vehicle System Dynamics 34 1 1 24 2000
- Pacekja, H. “Tyre and Vehicle Dynamics” Butterworth-Heinemann 0750651415 2002
- Ellis, J. R. “Vehicle Handling Dynamics” Professional Engineering Publishing 0852988850 1994
- Milliken, W.F. Milliken, D.L. “Race Car Vehicle Dynamics,” SAE International Warrendale, PA 978-1-56091-526-3 1995
- Yih, P. Ryu, J. Christian, J. G. “Modification of Vehicle Handling Characteristics via Steer-by-Wire” IEEE Transactions on Control Systems Technology 13 6 965 976 2005
- Gadda, C. D. Yih, P. Gerdes, J. C. “Incorporating a Model of Vehicle Dynamics in a Diagnostic System for Steer-by-Wire Vehicles” Proceedings of AVEC 779 784 2004
- Ambrosio, J. A. Goncalves, J. P. “Complex flexible multibody system with application to vehicle dynamics” Multibody System Dynamics 6 163 182 2001
- Kuti, I. “Simulation of Vehicle Motions on the Basis of the Finite Element Method” Vehicle System Dynamics 36 6 445 469 2001
- Wideberg, J. P. “Dynamic effect of the non-rigid modified bicycle model” Proceedings of the Institute of Mechanical Engineers Part D: Journal of Automobile Engineering 216 717 722 2002
- Wideberg, J. P. “Simplified method for evaluation of the lateral dynamic behaviour of a heavy vehicle” Heavy Vehicle Systems, A Series of Int. J. of Vehicle Design 11 2 195 207 2004
- Crandall, S. H. Dahl, N. C. Lardner, T. J. “An Introduction to the Mechanics of Solids, 2 nd Edition” Tata McGraw-Hill Publishing Company Limited New Delhi 070667349 2008
- Langhaar, H. L. “Dimensional Analysis and Theory of Models” Wiley 0882756826 1951
- www.gnu.org/software/octave