A unified formulation of the thermomechanical problem of laminated plates with von Karman nonlinearities, undergoing finite amplitude vibrations, is presented. It integrates mechanical and\ud thermal aspects, by addressing them in parallel via the introduction of generalized 2D variables and equations also for the latter. The formulation virtually embeds a multitude of possible models, resulting from different assumptions about the plate mechanical and thermal configurations. The obtained continuous model is then subjected to a minimum reduction via\ud Galerkin procedure. Some analyses of free and forced nonlinear vibrations under variable mechanical and/or thermal excitations are also carried out, to get some hints on the importance of different thermal aspects associated with membrane and bending dynamics, and on the possibility to catch them via variably simplified models

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The nonlinear response of a reduced model of an orthotropic single-layered plate with thermomechanical coupling is investigated in the presence of thermal excitations, in addition to mechanical ones. Different issues are addressed via accurate and extended local and global analyses. (i) Assessing the possible occurrence, disappearance or modification of mechanical buckling as a result of thermal aspects; (ii) exploiting global dynamics to unveil the effects of coupling; (iii) highlighting the crucial role played by the slow thermal transient evolution in modifying the fast steady mechanical response; (iv) framing the influence of coupling and underlining the need to use a thermomechanical model to grasp the actual plate dynamics; and (v) getting hints of technical interest as to the outcome robustness with respect to variations in the external/internal thermal parameters.

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