<p>We study the eigenfrequencies of transverse vibrations of a circular in-plane preheated plate with elastically restrained edge. We formulate the corresponding axisymmetric problem of thermoelasticity by using the theory of plates and construct its analytic solution with regard for the heat exchange (according to the Newton law) from the surfaces and the elastic compliance on the outer contour of the plate. The frequency equations of transverse vibrations are constructed for a plate prestressed as a result of uniform heating of the plate under the boundary conditions of elastically restrained edge. The influence of temperature and the elastic characteristics of restraint on the vibration characteristics of the round plate is analyzed.</p>