An approximate solution for the free vibrations problem of two-dimensional magneto-electro-elastic laminates is presented to determine their fundamental behavior. The laminates are compose of homogeneous elastic, piezoelectric, or magnetostrictive layers with perfect bonding between each interface. The solution for the elastic displacements, electric potential, and magnetic potential is obtained by combining a discrete layer approach with the Ritz method.
The natural frequencies and through-thickness modal behavior are computed for simply supported, cantilever, and completely free laminates. Solution for the simply supported case is compared with the known exact solution for piezoelectric laminates and excellent agreement is obtained.
Computational requirements are considerably reduced when the present discrete model is used in comparison to those required by the finite elements method for the same level of accuracy.
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