عنوان
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Nonlinear Vibration Analysis of Laminated Magneto-Electro-Elastic Rectangular Plate Based on Third-Order Shear Deformation Theory
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Nonlinear vibration Laminated plate Magneto-electro-elastic Third-order shear deformation theory
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چکیده
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Nonlinear vibration of magneto-electro-elastic rectangular thick plate is studied based on the third-order shear deformation theory. The plate is symmetrically laminated and simply supported along all of its edges. The magneto-electric boundary condition on upper and bottom surfaces of the plate is considered to be closed-circuit. Gauss’s laws for electrostatics and magnetostatics are used to model the electric and magnetic behavior of the plate. After deriving the nonlinear partial differential equations of motion, Galerkin method is applied to transform these equations into a single ordinary differential equation. This equation is solved analytically by using Lindstedt–Poincare´ and multiple time scales methods. Several examples are provided to investigate the effects of different parameters on the nonlinear vibration of these plates.
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پژوهشگران
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سعید شبانپور (نفر اول)، سهیل رضوی (نفر دوم)، علیرضا شوشتری (نفر سوم)
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