Vol. 12, No. 4, 2017

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ISSN: 1559-3959
Thickness effects in the free vibration of laminated magnetoelectroelastic plates

Chao Jiang and Paul R. Heyliger

Vol. 12 (2017), No. 4, 521–544
Abstract

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.

Keywords
thickness effects, free vibration, laminated, magneto-electro-elastic, plate
Milestones
Received: 12 January 2017
Revised: 4 April 2017
Accepted: 19 May 2017
Published: 28 June 2017
Authors
Chao Jiang
Department of Civil and Environmental Engineering
Colorado State University
Fort Collins, CO
United States
Paul R. Heyliger
Department of Civil and Environmental Engineering
Colorado State University
Fort Collins, CO
United States