On free vibration of non-homogeneous transversely isotropic magneto-electro-elastic plates

• Published in: Journal of sound and vibration Vol. 279; no. 1; pp. 237 - 251
• Main Authors: Chen, W.Q., Yong Lee, Kang, Ding, H.J.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 06.01.2005; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Stress analysis; Stratified material; Free vibration; Mechanical properties; Simple support; Modeling; Electroelasticity; State variable; Heterogeneous material; Equations of state; Isotropic medium; Functionnally graded material; Transverse isotropy; Rectangular plate; Magnetomechanical properties; Coupling; Magnetoelastic effect; Structural analysis; Electromechanical properties
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2003.10.033

Two independent state equations are established for transversely isotropic magneto-electro-elastic media by introducing proper stress and displacement functions. The free vibration problem of simply supported rectangular plates with general inhomogeneous (functionally graded) material properties along the thickness direction is then considered. An approximate laminate model is employed to transform the state equations with variable coefficients to the ones with constant coefficients. Two different classes of vibrations are found. In particular, the frequency of the first class is only related to the elastic property of the plate, while that of the second class is affected by the couplings among the elastic, electric and magnetic fields. Numerical results are presented and some important issues are discussed.