@inproceedings{a4c90d5545a44f479fe2a9f092d28e7a,
title = "The unification of acceleration envelope and driveability concepts",
abstract = "The application of a frozen-time eigenvalue analysis to the straight line accelerating and braking of a race-car is presented. A three degree-of-freedom, single-track vehicle model is used to derive linear time-varying equations of motion. The response of the time-varying system is correlated with the frozen-time eigenvalues to predict the system stability. Theoretically, the use of eigenvalues to determine the stability of a time-varying system is only valid if the system is changing {\textquoteleft}sufficiently slowly{\textquoteright}. Bounds on the rate-of-change of the time-varying system are derived to determine the conditions under which this analysis is valid. Numerical evaluation of these bounds shows that the model studied can be classified as slowly-varying under accelerating and braking conditions, and is stable when the frozen-time eigenvalues are negative.",
keywords = "Controllability, Driveability, G-G envelope, Motorsport, Racing car, Stability",
author = "Salisbury, {I. G.} and Limebeer, {D. J.N.} and A. Tremlett and M. Massaro",
note = "Publisher Copyright: {\textcopyright} 2016 Taylor & Francis Group, London.; 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015 ; Conference date: 17-08-2015 Through 21-08-2015",
year = "2016",
doi = "10.1201/b21185-61",
language = "English",
isbn = "9781138028852",
series = "The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015",
publisher = "CRC Press/Balkema",
pages = "563--572",
editor = "Martin Rosenberger and Klaus Six and Manfred Pl{\"o}chl and Johannes Edelmann",
booktitle = "The Dynamics of Vehicles on Roads and Tracks - Proceedings of the 24th Symposium of the International Association for Vehicle System Dynamics, IAVSD 2015",
}