<p>We consider the problem of finding the dynamic response to the impact pulses of rectangular plates preloaded as a result of heating. We present the statements of the problems of evaluation of the dynamic characteristics of elastic structural elements in modeling these elements according to the theory of plates and the theory of three-dimensional elastic body. We construct an analytic solution of the dynamic problem for rectangular plates prestressed by heating in the case of hinged supports on two opposite edges of the plate and any boundary conditions on the remaining boundaries. The influence of temperature on the dynamic characteristics of the plates is analyzed. With the help of computational experiments in the three-dimensional statement, we analyze the problem of response to the impact of a preheated plane rectangular panel in the case of bilateral and all-round restraints.</p>