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A thermoviscoelastic beam model for brakes

Published online by Cambridge University Press:  07 June 2004

J. BAJKOWSKI ,
J. R. FERNÁNDEZW ,
K. L. KUTTLER  and
M. SHILLOR
J. BAJKOWSKI
Affiliation:
Institute of Machine Design Fundamentals, Warsaw University of Technology, Warsaw, Poland
J. R. FERNÁNDEZW
Affiliation:
Departamento de Matemtica Aplicada, Universidade de Santiago de Compostela, 15706 Santiago de Compostela, Spain
K. L. KUTTLER
Affiliation:
Department of Mathematics, Brigham Young University, Provo, UT 84602, USA
M. SHILLOR
Affiliation:
Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309, USA
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Abstract

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A model for the dynamic thermomechanical behavior of a viscoelastic beam which is in frictional contact with a rigid rotating wheel is presented. It describes a simple braking system in which the wheel comes to a stop as a result of the frictional traction generated by the beam. Friction is modelled with a temperature and slip rate dependent coefficient of friction. Frictional heat generation is taken into account as well as the wheel temperature evolution, and the wear of the beam's contacting end. The model is formulated as a variational inequality. A FEM numerical scheme for the model is described, implemented, and the results of numerical simulations are shown.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 15 , Issue 2 , April 2004 , pp. 181 - 202
Copyright
2004 Cambridge University Press