Non-linear dynamics of longitudinal vehicle traction

Brian J. Olson, Steven W. Shaw, G. Stépán

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This work investigates the longitudinal, nonlinear braking dynamics of single- and two-wheel ground vehicle models. A natural choice of dynamic states would be the forward vehicle speed and the absolute rotational rate of the wheels. However, an alternative formulation is exploited where wheel slip replaces the angular speeds as dynamic states. By doing so, the qualitative dynamic behaviors of the single- and two-wheel systems are captured in a relatively simple geometric manner. Bifurcation analyses are carried out in terms of the brake torques, which show how the systems transition from stable braking, to the possibility of lockup in one or both wheels, to guaranteed lockup in both wheels, depending on the initial conditions. An interesting finding of this study is a correction to the textbook result for the critical brake torques corresponding to wheel lockup. It is shown that the commonly accepted threshold is valid only when the vehicle-to-wheel inertia ratio is large, which is typically the case in many road vehicles. The correction is of practical interest, however, when considering a light vehicle with relatively large tire/wheel inertia.

Original languageEnglish
Title of host publicationProceedings of the Mini Conference on Vehicle System Dynamics, Identification and Anomalies
Pages537-544
Number of pages8
Publication statusPublished - 2004
Event9th Mini Conference on Vehicle System Dynamics, Identification and Anomalies, VSDIA 2004 - Budapest, Hungary
Duration: Nov 8 2004Nov 10 2004

Other

Other9th Mini Conference on Vehicle System Dynamics, Identification and Anomalies, VSDIA 2004
CountryHungary
CityBudapest
Period11/8/0411/10/04

Fingerprint

Traction (friction)
Wheels
Braking
Brakes
Torque
Ground vehicles
Textbooks
Tires

Keywords

  • Bifurcation
  • Lockup instability
  • Traction
  • Vehicle braking
  • Wheel slip

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Olson, B. J., Shaw, S. W., & Stépán, G. (2004). Non-linear dynamics of longitudinal vehicle traction. In Proceedings of the Mini Conference on Vehicle System Dynamics, Identification and Anomalies (pp. 537-544)

Non-linear dynamics of longitudinal vehicle traction. / Olson, Brian J.; Shaw, Steven W.; Stépán, G.

Proceedings of the Mini Conference on Vehicle System Dynamics, Identification and Anomalies. 2004. p. 537-544.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Olson, BJ, Shaw, SW & Stépán, G 2004, Non-linear dynamics of longitudinal vehicle traction. in Proceedings of the Mini Conference on Vehicle System Dynamics, Identification and Anomalies. pp. 537-544, 9th Mini Conference on Vehicle System Dynamics, Identification and Anomalies, VSDIA 2004, Budapest, Hungary, 11/8/04.
Olson BJ, Shaw SW, Stépán G. Non-linear dynamics of longitudinal vehicle traction. In Proceedings of the Mini Conference on Vehicle System Dynamics, Identification and Anomalies. 2004. p. 537-544
Olson, Brian J. ; Shaw, Steven W. ; Stépán, G. / Non-linear dynamics of longitudinal vehicle traction. Proceedings of the Mini Conference on Vehicle System Dynamics, Identification and Anomalies. 2004. pp. 537-544
@inproceedings{45596b120d134448b65ca3a2af05da74,
title = "Non-linear dynamics of longitudinal vehicle traction",
abstract = "This work investigates the longitudinal, nonlinear braking dynamics of single- and two-wheel ground vehicle models. A natural choice of dynamic states would be the forward vehicle speed and the absolute rotational rate of the wheels. However, an alternative formulation is exploited where wheel slip replaces the angular speeds as dynamic states. By doing so, the qualitative dynamic behaviors of the single- and two-wheel systems are captured in a relatively simple geometric manner. Bifurcation analyses are carried out in terms of the brake torques, which show how the systems transition from stable braking, to the possibility of lockup in one or both wheels, to guaranteed lockup in both wheels, depending on the initial conditions. An interesting finding of this study is a correction to the textbook result for the critical brake torques corresponding to wheel lockup. It is shown that the commonly accepted threshold is valid only when the vehicle-to-wheel inertia ratio is large, which is typically the case in many road vehicles. The correction is of practical interest, however, when considering a light vehicle with relatively large tire/wheel inertia.",
keywords = "Bifurcation, Lockup instability, Traction, Vehicle braking, Wheel slip",
author = "Olson, {Brian J.} and Shaw, {Steven W.} and G. St{\'e}p{\'a}n",
year = "2004",
language = "English",
isbn = "9634208754",
pages = "537--544",
booktitle = "Proceedings of the Mini Conference on Vehicle System Dynamics, Identification and Anomalies",

}

TY - GEN

T1 - Non-linear dynamics of longitudinal vehicle traction

AU - Olson, Brian J.

AU - Shaw, Steven W.

AU - Stépán, G.

PY - 2004

Y1 - 2004

N2 - This work investigates the longitudinal, nonlinear braking dynamics of single- and two-wheel ground vehicle models. A natural choice of dynamic states would be the forward vehicle speed and the absolute rotational rate of the wheels. However, an alternative formulation is exploited where wheel slip replaces the angular speeds as dynamic states. By doing so, the qualitative dynamic behaviors of the single- and two-wheel systems are captured in a relatively simple geometric manner. Bifurcation analyses are carried out in terms of the brake torques, which show how the systems transition from stable braking, to the possibility of lockup in one or both wheels, to guaranteed lockup in both wheels, depending on the initial conditions. An interesting finding of this study is a correction to the textbook result for the critical brake torques corresponding to wheel lockup. It is shown that the commonly accepted threshold is valid only when the vehicle-to-wheel inertia ratio is large, which is typically the case in many road vehicles. The correction is of practical interest, however, when considering a light vehicle with relatively large tire/wheel inertia.

AB - This work investigates the longitudinal, nonlinear braking dynamics of single- and two-wheel ground vehicle models. A natural choice of dynamic states would be the forward vehicle speed and the absolute rotational rate of the wheels. However, an alternative formulation is exploited where wheel slip replaces the angular speeds as dynamic states. By doing so, the qualitative dynamic behaviors of the single- and two-wheel systems are captured in a relatively simple geometric manner. Bifurcation analyses are carried out in terms of the brake torques, which show how the systems transition from stable braking, to the possibility of lockup in one or both wheels, to guaranteed lockup in both wheels, depending on the initial conditions. An interesting finding of this study is a correction to the textbook result for the critical brake torques corresponding to wheel lockup. It is shown that the commonly accepted threshold is valid only when the vehicle-to-wheel inertia ratio is large, which is typically the case in many road vehicles. The correction is of practical interest, however, when considering a light vehicle with relatively large tire/wheel inertia.

KW - Bifurcation

KW - Lockup instability

KW - Traction

KW - Vehicle braking

KW - Wheel slip

UR - http://www.scopus.com/inward/record.url?scp=52349119983&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=52349119983&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:52349119983

SN - 9634208754

SN - 9789634208754

SP - 537

EP - 544

BT - Proceedings of the Mini Conference on Vehicle System Dynamics, Identification and Anomalies

ER -