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The effect of non-homogeneity in a magneto electro elastic plate of polygonal cross sections
is studied using the linear theory of elasticity. The wave equation of motion based on two-dimensional
theory of elasticity is applied under the plane strain assumption of plate of polygonal shape, composed
of non-homogeneous transversely isotropic material. The frequency equations are obtained by
satisfying the irregular boundary conditions of the polygonal plate using Fourier expansion collocation
method. The analytical results obtained in the physical domain have been computed numerically for
Triangle, Square, Pentagon and Hexagonal plates. The results for stress, strain, displacements, induced
electric and magnetic fields have been presented graphically.
Keywords: magneto-electro elastic cylinder, solid with polygonal cross sections, Fourier expansion collocation method, stresses/vibration, transducers, sensors/actuators, MEMS/NEMS |
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