Transient solution of a thermoelastic instability problem using a reduced order model

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37 Citations (Scopus)


Above a certain critical speed, sliding systems with frictional heating such as brakes and clutches can exhibit thermoelastic instability in which non-uniform perturbations develop in the pressure and temperature fields. A method is described in which the transient thermomechanical behaviour of such systems is approximated by a reduced order model, describing one or more dominant perturbations or eigenfunctions. The goal is to construct a mathematical model of the system with a modest number of degrees of freedom. If a single dominant perturbation is used, an integral expression can be written for the evolution of the perturbation with time. A more accurate description involving several terms requires that the transient behaviour be generated by a sequence of operations in which the sliding speed is piecewise constant. Both models are evaluated by comparison with a direct numerical simulation and prove to give good accuracy with a dramatic reduction in computing time.

Original languageEnglish
Pages (from-to)451-464
Number of pages14
JournalInternational Journal of Mechanical Sciences
Issue number3
Publication statusPublished - Mar 2002
Externally publishedYes


  • Brake
  • Clutch
  • Eigenfunction series
  • Reduced order model
  • TEI
  • Thermoelastic instability

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Applied Mathematics
  • General Materials Science
  • Civil and Structural Engineering


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