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Abstract
Above a certain critical speed, a perturbation in the contact pressure or the temperature field of a clutch system can grow, leading to areas of high heat generation or hot spots. The aim of the present study is to investigate the transient evolution of a sinusoidal perturbation in a multidisk clutch system. Eigenfunction expansion is used to solve the coupled thermomechanical heat conduction problem. A reduced-order model is also investigated in which a few dominant eigenfunctions are used in the expansion series.
Nomenclature
| b | = | Exponential growth rate |
| cp | = | Specific heat capacity |
| f | = | Coefficient of friction |
| K | = | Thermal conductivity |
| k | = | Thermal diffusivity |
| m | = | Wave number |
| Ni | = | Spatial shape functions |
| n | = | Number of FE nodes and number of eigenfunctions |
| p | = | Contact pressure |
| q | = | Heat flux |
| T | = | Temperature |
| t | = | Time |
| u | = | Displacement component |
| V | = | Sliding speed |
| vi | = | Piecewise constant shape functions |
| Wi | = | Weighting functions |
| α | = | Coefficient of thermal expansion |
| Θ | = | Vector of nodal temperatures |
| θi | = | Eigenfunctions for temperature |
| ω | = | Angular sliding speed |
| ωc | = | Critical angular speed |