Levy-type Solution for Analysis of a Magneto-Electro-elastic Panel
Jia He,Xuejiao Zhang,Hong Gong,H. Elhosiny Ali,Elimam Ali +4 more
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TL;DR: This paper derives a Levy-type solution for electro-magneto-mechanical bending of cylindrical panels, reducing 2D PDEs to 2D ODEs, and solving for displacement, rotation, and electromagnetic potentials under various boundary conditions and loads.
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Abstract: This paper studies electro-magneto-mechanical bending studying of the cylindrical panels based on shear deformation theory. The cylindrical panel is constrained with two simply-supported edges at longitudinal direction and two clamped boundary conditions at circumferential direction. The governing equations are derived based on the principle of virtual work in cylindrical coordinate system. Levy-type solution of the governing equations is derived to reduce two dimensional PDEs to a 2D ODEs. The reduced ordinary differential equation is solved using the Eigen-value Eigen-vector method for the clamped-clamped boundary condition. The electro-magneto-mechanical bending results are obtained to show that every displacement, rotation and electromagnetic potentials how change with changes of initial electromagnetic potentials and mechanical loads along longitudinal and circumferential directions.
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References
Symplectic superposition method-based new analytic bending solutions of cylindrical shell panels
TL;DR: In this paper, the authors extended the up-to-date symplectic superposition method to bending of cylindrical panels, with focus on clamped panels and their variants, by introducing the problems into the Hamiltonian system (in physics) and the symplectic space (in mathematics).
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Non linear analysis of a functionally graded square plate with two smart layers as sensor and actuator under normal pressure
TL;DR: In this paper, the nonlinear response of a FG square plate with two smart layers asa sensor and actuator under pressure was considered in the strain-displacement relation based on the Von-Karman assumption.
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The computational modeling for the static analysis of axially functionally graded micro-cylindrical imperfect beam applying the computer simulation
TL;DR: In this paper, the bending and buckling analysis of microbeam with the uniform and non-uniform cylindrical cross-section was examined based on the classical beam theory and the modified couple stress theory to model the micro-structures effects.
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An iterative simulation algorithm for large oscillation of the applicable 2D-electrical system on a complex nonlinear substrate
TL;DR: In this article, a nonlinear elastic foundation is assumed to be in contact with the electrical plate during deformation, and the nonlinear coupled dynamic equations governing the transverse and longitudinal motions of the plate are derived using Hamilton's principle method, the von Karman geometric nonlinearity, and improved higher-order shear deformation theory.
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Hamiltonian system-based new analytic free vibration solutions of cylindrical shell panels
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