Thermo-mechanical coupling effects in vibrations of plates with different properties

By using finite Hankel transform, the paper derives the solution to the thermo-mechanically coupled vibrations of an axisymmetric circular plate which is subjected to irradiation of a high power laser beam on one of its surfaces and has boundary conditions of a constant temperature and a special displacement-force confinement on its circumference. Three plates of different materials are calculated. The present analytical and FEM results are in accordance with each other and indicate that the effects of thermo-mechanical coupling on the thermo-elastic vibrations of plates are pertinent to the material properties. For some materials, the effects of thermo-mechanical coupling are of significance, and for others, they are of insignificance.