UNIFIED EXPRESSION OF NATURAL FREQUENCY SOLUTIONS FOR FUNCTIONALLY GRADED COMPOSITE RECTANGULAR PLATES UNDER VARIOUS BOUNDARY CONDITIONS

The dynamic character of the FGM rectangular plate was studied by the beam function combination method. The obtained analytical solutions of natural frequency and mode shape can be applied to 36 boundary conditions and arbitrary functional grades. A unified expression of natural frequencies for FGM rectangular plates under various boundary conditions was presented by further simplification. The given natural frequency and mode shape solutions are simple and practical for various engineering dynamic analyses of FGM plates.