We study the effects of heat transfer on the vibration damping properties of a shape memory wire. We assume that the pseudoelastic behavior of the shape memory wire is due to a stress-induced phase transformation which is governed by a temperature-dependent kinetic relation. Impulsively initiated unforced motions and forced periodic oscillations are considered, and the results are compared to results from an earlier work where isothermal phase transformations were assumed. We demonstrate how the temperature dependence of the kinetic relation can be used to control the amplitude of steady state motions in the case of impulsively initiated motions.
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