期刊
LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES
卷 13, 期 3, 页码 554-572出版社
LATIN AMER J SOLIDS STRUCTURES
DOI: 10.1590/1679-78251831
关键词
Free vibration; magnetoelectroelastic smart plate; elastic foundation; Reddy's third order shear deformation theory
Free vibration of a magnetoelectroelastic rectangular plate is investigated based on the Reddy's third-order shear deformation theory. The plate rests on an elastic foundation and it is considered to have different boundary conditions. Gauss's laws for electrostatics and magnetostatics are used to model the electric and magnetic behavior. The partial differential equations of motion are reduced to a single partial differential equation and then by using the Galerkin method, the ordinary differential equation of motion as well as an analytical relation for the natural frequency of the plate is obtained. Some numerical examples are presented to validate the proposed model and to investigate the effects of several parameters on the vibration frequency of the considered smart plate.
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