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

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

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
Volume44
Issue number3
DOIs
Publication statusPublished - Mar 2002

Fingerprint

perturbation
Clutches
Direct numerical simulation
Brakes
Eigenvalues and eigenfunctions
sliding
Temperature distribution
clutches
Mathematical models
Heating
brakes
critical velocity
direct numerical simulation
pressure distribution
mathematical models
eigenvectors
temperature distribution
degrees of freedom
heating

Keywords

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

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Transient solution of a thermoelastic instability problem using a reduced order model. / Al-Shabibi, Abdullah M.; Barber, J. R.

In: International Journal of Mechanical Sciences, Vol. 44, No. 3, 03.2002, p. 451-464.

Research output: Contribution to journalArticle

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