Burst oscillations occurring at high speed, and under firm acceleration, can be suppressed with a mechanical steering compensator. Burst instabilities in the subject racing motorcycle are the result of interactions between the wobble and weave modes under firm-acceleration at high speed. Under accelerating conditions, the wobble-mode frequency (of the subject motorcycle) decreases, while the weave mode frequency increases so that destabilizing interactions can occur. The design analysis is based on a time-separation principle, which assumes that bursting occurs on time scales over which speed variations can be neglected. Even under braking and acceleration conditions linear time-invariant models corresponding to constant-speed operation can be utilized in the design process. The influences of braking and acceleration are modeled using d’Alembert-type inertial forces that are applied at the mass centers of each of the model’s constituent bodies. The resulting steering compensator is a simple mechanical network that comprises a conventional steering damper in series with a linear spring. In control theoretic terms, this network is a mechanical lag compensator. A robust control framework was used to optimize the compensator design because it is necessary to address the inevitable uncertainties in the motorcycle model, as well as the nonlinearities that influence the machine’s local behavior as the vehicle ranges over its operating envelope.
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January 2013
Research-Article
Suppression of Burst Oscillations in Racing Motorcycles
Simos A. Evangelou,
Simos A. Evangelou
Department of Electrical and Electronic, and Mechanical Engineering,
Imperial College
,London, SW7 2AZ
, UK
e-mail: s.evangelou@imperial.ac.uk
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David J. N. Limebeer,
David J. N. Limebeer
Professor of Control Engineering,
Department of Engineering Science,
e-mail: david.limebeer@eng.ox.ac.uk
Department of Engineering Science,
University of Oxford
,Parks Road, Oxford, OX1 3PJ
, UK
e-mail: david.limebeer@eng.ox.ac.uk
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Maria Tomas-Rodriguez
Maria Tomas-Rodriguez
Mathematics and Engineering Department,
e-mail:Maria.Tomas-Rodriguez.1@city.ac.uk
City University
,London, EC1V 0HB
, UK
e-mail:Maria.Tomas-Rodriguez.1@city.ac.uk
Search for other works by this author on:
Simos A. Evangelou
Department of Electrical and Electronic, and Mechanical Engineering,
Imperial College
,London, SW7 2AZ
, UK
e-mail: s.evangelou@imperial.ac.uk
David J. N. Limebeer
Professor of Control Engineering,
Department of Engineering Science,
e-mail: david.limebeer@eng.ox.ac.uk
Department of Engineering Science,
University of Oxford
,Parks Road, Oxford, OX1 3PJ
, UK
e-mail: david.limebeer@eng.ox.ac.uk
Maria Tomas-Rodriguez
Mathematics and Engineering Department,
e-mail:Maria.Tomas-Rodriguez.1@city.ac.uk
City University
,London, EC1V 0HB
, UK
e-mail:Maria.Tomas-Rodriguez.1@city.ac.uk
Contributed by the Applied Mechanics Division of ASME for publication in the Journalof Applied Mechanics. Manuscript received July 3, 2010; final manuscript received November 26, 2011; accepted manuscript posted April 2, 2012; published online October 29, 2012. Assoc. Editor: Wei-Chau Xie. To view figures in color, please refer to the online version of this article.
J. Appl. Mech. Jan 2013, 80(1): 011003 (14 pages)
Published Online: October 29, 2012
Article history
Received:
July 3, 2010
Revision Received:
November 26, 2011
Accepted:
April 2, 2012
Citation
Evangelou, S. A., Limebeer, D. J. N., and Tomas-Rodriguez, M. (October 29, 2012). "Suppression of Burst Oscillations in Racing Motorcycles." ASME. J. Appl. Mech. January 2013; 80(1): 011003. https://doi.org/10.1115/1.4006491
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