The existence of generalized solutions of a nonlinear problem concerning thermally induced vibrations in a nonhomogeneous plate is considered. The boundary conditions are for convenience, assumed to be homogeneous. This corresponds to the physical situation of a clamped plate. The initial conditions are imposed on one function only. The method of dealing with the problem is analogous to that for a homogeneous plate without the influence of temperature. Some lemmas and a theorem are formulated; the theorem asserts that under certain conditions on the temperature there exists at least one generalized solution to the problem.