Numerical Effectiveness of Models and Methods of Integration of the Equations of Motion of a Car

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 equat...

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Main Authors: Marek Szczotka, Szymon Tengler, Stanislaw Wojciech
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:Differential Equations and Nonlinear Mechanics
Online Access:http://dx.doi.org/10.1155/2007/49157
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author Marek Szczotka
Szymon Tengler
Stanislaw Wojciech
author_facet Marek Szczotka
Szymon Tengler
Stanislaw Wojciech
author_sort Marek Szczotka
collection DOAJ
description 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 are formulated.
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institution Kabale University
issn 1687-4099
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publishDate 2007-01-01
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series Differential Equations and Nonlinear Mechanics
spelling doaj-art-2c9eff0ac0df4a07b86e62d7c877561a2025-02-03T05:46:48ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022007-01-01200710.1155/2007/4915749157Numerical Effectiveness of Models and Methods of Integration of the Equations of Motion of a CarMarek Szczotka0Szymon Tengler1Stanislaw Wojciech2Department of Mechanics and Informatics, University of Bielsko-Biala, Bielsko-Biala 43-309, PolandDepartment of Mechanics and Informatics, University of Bielsko-Biala, Bielsko-Biala 43-309, PolandBOSMAL Automotive Research and Development Center, Bielsko-Biala 43-300, PolandThe 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 are formulated.http://dx.doi.org/10.1155/2007/49157
spellingShingle Marek Szczotka
Szymon Tengler
Stanislaw Wojciech
Numerical Effectiveness of Models and Methods of Integration of the Equations of Motion of a Car
Differential Equations and Nonlinear Mechanics
title Numerical Effectiveness of Models and Methods of Integration of the Equations of Motion of a Car
title_full Numerical Effectiveness of Models and Methods of Integration of the Equations of Motion of a Car
title_fullStr Numerical Effectiveness of Models and Methods of Integration of the Equations of Motion of a Car
title_full_unstemmed Numerical Effectiveness of Models and Methods of Integration of the Equations of Motion of a Car
title_short Numerical Effectiveness of Models and Methods of Integration of the Equations of Motion of a Car
title_sort numerical effectiveness of models and methods of integration of the equations of motion of a car
url http://dx.doi.org/10.1155/2007/49157
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AT szymontengler numericaleffectivenessofmodelsandmethodsofintegrationoftheequationsofmotionofacar
AT stanislawwojciech numericaleffectivenessofmodelsandmethodsofintegrationoftheequationsofmotionofacar