Solution of transient thermoelastic contact problems by the fast speed expansion method

Thermoelastic expansion due to frictional heating causes significant changes in contact pressure and temperature in energy dissipation systems uch as brakes and clutches. Finite element analysis of such systems tends to be extremely computer-intensive. We here present an alternative mplementation of the transient problem, based on the expression of the temperature and stress fields as modal expansions. For its implementation, he method depends upon the availability of solutions of the eigenvalue problem related to thermoelastic instability (TEI). It is demonstrated hat computational efficiencies can be achieved by performing the eigenvalue analysis at a limited number of speeds and then using a suitable nterpolation procedure. However, care must be taken in the interpolation process, because eigenvalues of the problem tend to be clustered, which omplicates the process of identifying corresponding eigenfunction pairs. The method is validated by convergence tests and illustrated by an xample of a multidisc clutch. 2007 Elsevier B.V. All rights reserved.