Mathematical Modelling of Vehicle Drifting

A mathematical model and condition for drifting of vehicles are presented in this paper. Employing the condition for possible steady-state drifting, the mathematical model of a vehicle with lateral weight lift during turning and drifting as well as adopting a combined tyre force model enables to...

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Автори: Jazar, Reza N., Alam, Firoz, Milani, Sina, Marzbani, Hormoz, Chowdhury, Harun
Формат: Стаття
Мова:Англійська
Опубліковано: R&D Wing, MIST 2021
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Онлайн доступ:http://dspace.mist.ac.bd:8080/xmlui/handle/123456789/572
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author Jazar, Reza N.
Alam, Firoz
Milani, Sina
Marzbani, Hormoz
Chowdhury, Harun
author_browse Alam, Firoz
Chowdhury, Harun
Jazar, Reza N.
Marzbani, Hormoz
Milani, Sina
author_facet Jazar, Reza N.
Alam, Firoz
Milani, Sina
Marzbani, Hormoz
Chowdhury, Harun
author_sort Jazar, Reza N.
collection DSpace
description A mathematical model and condition for drifting of vehicles are presented in this paper. Employing the condition for possible steady-state drifting, the mathematical model of a vehicle with lateral weight lift during turning and drifting as well as adopting a combined tyre force model enables to reduce the number of equations of motion to a set of nonlinear coupled algebraic equations. The solution of the equations are the longitudinal and lateral components of the velocity vector of the vehicle at its mass centre and the vehicle’s yaw rate. The numerical values of the variables are associated with an equilibrium at which the vehicle drifts steadily. The equilibrium point should be analysed for stability by examining for any small disturbance should disappear. The procedure applied to a nominal vehicle indicates that an equilibrium point exists for every given value of the steering angle as the input. Also, it is shown that the equilibrium point is unstable. Hence, to keep the vehicle at the associated steady-state drifting, the value of the yaw rate must be kept constant.
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spelling oai:localhost:123456789-5722021-01-10T05:57:16Z Mathematical Modelling of Vehicle Drifting Jazar, Reza N. Alam, Firoz Milani, Sina Marzbani, Hormoz Chowdhury, Harun Vehicle Dynamics Vehicle Drifting Vehicle Stability A mathematical model and condition for drifting of vehicles are presented in this paper. Employing the condition for possible steady-state drifting, the mathematical model of a vehicle with lateral weight lift during turning and drifting as well as adopting a combined tyre force model enables to reduce the number of equations of motion to a set of nonlinear coupled algebraic equations. The solution of the equations are the longitudinal and lateral components of the velocity vector of the vehicle at its mass centre and the vehicle’s yaw rate. The numerical values of the variables are associated with an equilibrium at which the vehicle drifts steadily. The equilibrium point should be analysed for stability by examining for any small disturbance should disappear. The procedure applied to a nominal vehicle indicates that an equilibrium point exists for every given value of the steering angle as the input. Also, it is shown that the equilibrium point is unstable. Hence, to keep the vehicle at the associated steady-state drifting, the value of the yaw rate must be kept constant. 2021-01-10T05:57:10Z 2021-01-10T05:57:10Z 2020-12-16 Article 2224-2007 http://dspace.mist.ac.bd:8080/xmlui/handle/123456789/572 en application/pdf R&D Wing, MIST
spellingShingle Vehicle Dynamics Vehicle Drifting Vehicle Stability
Jazar, Reza N.
Alam, Firoz
Milani, Sina
Marzbani, Hormoz
Chowdhury, Harun
Mathematical Modelling of Vehicle Drifting
title Mathematical Modelling of Vehicle Drifting
title_full Mathematical Modelling of Vehicle Drifting
title_fullStr Mathematical Modelling of Vehicle Drifting
title_full_unstemmed Mathematical Modelling of Vehicle Drifting
title_short Mathematical Modelling of Vehicle Drifting
title_sort mathematical modelling of vehicle drifting
topic Vehicle Dynamics Vehicle Drifting Vehicle Stability
url http://dspace.mist.ac.bd:8080/xmlui/handle/123456789/572
work_keys_str_mv AT jazarrezan mathematicalmodellingofvehicledrifting
AT alamfiroz mathematicalmodellingofvehicledrifting
AT milanisina mathematicalmodellingofvehicledrifting
AT marzbanihormoz mathematicalmodellingofvehicledrifting
AT chowdhuryharun mathematicalmodellingofvehicledrifting