Differential Equations and Nonlinear Mechanics
Volume 2007 (2007), Article ID 49157, 13 pages
Numerical Effectiveness of Models and Methods of Integration of the Equations of Motion of a Car
1Department of Mechanics and Informatics, University of Bielsko-Biala, Bielsko-Biala 43-309, Poland
2BOSMAL Automotive Research and Development Center, Bielsko-Biala 43-300, Poland
Received 3 January 2006; Revised 19 October 2006; Accepted 2 November 2006
Academic Editor: Roger Grimshaw
Copyright © 2007 Marek Szczotka et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The paper presents models of car dynamics with varying complexity.
Joint coordinates and homogenous transformations are used to model the motion
of a car. Having formulated the models of the car, we discuss the influence of the
complexity of the model on numerical efficiency of integrating the equations
describing car dynamics. Methods with both constant and adaptive step size have
been applied. The results of numerical calculations are presented and conclusions