THICKNESS EFFECTS IN THE FREE VIBRATION OF LAMINATED MAGNETOELECTROELASTIC PLATES

摘要

A semianalytical discrete-layer approach is used to evaluate thickness effects in the free vibration of laminated magneto-electro-elastic (MEE) plates under various lateral boundary conditions. To match the primary physical phenomenon and simplify the study, piecewise continuous approximations are used through the thickness direction and either continuous global polynomial or trigonometric functions are used to simulate the deflection in axial or planar displacement fields. Thin plate models can be recovered to predict frequency estimation for various boundary conditions and compared with continuum-based theories using more complex approximations. Based on symmetry, the natural vibratory modes can be grouped to optimize computation. Numerical examples are used to show the thickness effects, with nondimensional frequencies computed for multiple plates under six lateral boundary conditions: simply supported, clamped, and four different combinations of free and clamped/simply supported edges. Along with the influence of electroelastic and magnetoelastic coupling, the results of these analyses clearly illustrate the limits of thin-plate approximations.