A closed form expression for the transverse vibration of a magnetoelectroelastic (MEE) thin plate is derived, and the exact solution for the free vibration of a two-layered composite is obtained. Based on the Kirchhoff thin plate theory, the bending problem of a transversely isotropic MEE rectangular plate is investigated, and the governing equation in terms of the transverse displacement is then presented in a rather compact form. The material coefficients for such MEE plate are expressed uniquely by the volume fraction (vf) of the two-layered composite, which indicates a transversely isotropic MEE medium. The natural frequencies of such MEE plate are evaluated analytically, and the effects of different volume fractions on the natural frequency are further discussed.
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March 2010
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Closed Form Expression for the Vibration Problem of a Transversely Isotropic Magneto-Electro-Elastic Plate
Mei-Feng Liu,
Mei-Feng Liu
Associate Professor
Department of Applied Mathematics,
I-Shou University
, Dashu Township, Kaohsiung County 840, Taiwan, R.O.C.
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Tai-Ping Chang
Tai-Ping Chang
Professor
Department of Construction Engineering,
National Kaohsiung First University of Science and Technology
, Kaohsiung 811, Taiwan, R.O.C.
Search for other works by this author on:
Mei-Feng Liu
Associate Professor
Department of Applied Mathematics,
I-Shou University
, Dashu Township, Kaohsiung County 840, Taiwan, R.O.C.
Tai-Ping Chang
Professor
Department of Construction Engineering,
National Kaohsiung First University of Science and Technology
, Kaohsiung 811, Taiwan, R.O.C.
J. Appl. Mech. Mar 2010, 77(2): 024502 (8 pages)
Published Online: December 9, 2009
Article history
Received:
November 6, 2008
Revised:
June 3, 2009
Online:
December 9, 2009
Published:
December 9, 2009
Citation
Liu, M., and Chang, T. (December 9, 2009). "Closed Form Expression for the Vibration Problem of a Transversely Isotropic Magneto-Electro-Elastic Plate." ASME. J. Appl. Mech. March 2010; 77(2): 024502. https://doi.org/10.1115/1.3176996
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