### 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 language | English |
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Pages (from-to) | 451-464 |

Number of pages | 14 |

Journal | International Journal of Mechanical Sciences |

Volume | 44 |

Issue number | 3 |

DOIs | |

Publication status | Published - Mar 2002 |

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### Keywords

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

### ASJC Scopus subject areas

- Mechanical Engineering