Geometrically nonlinear vibration analysis of multiferroic composite plates and shells

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• 作者：S.C. Kattimani ^{subhaskatti@gmail.com}
• 关键词：Multiferroic composites ; Magneto-electro-elastic ; Geometrically nonlinear vibrations ; Finite element analysis ; Composite plates and shells
• 刊名：Composite Structures
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：163
• 期：Complete
• 页码：185-194
• 全文大小：1401 K
• 卷排序：163

文摘

In this article, a layerwise shear deformation theory is incorporated for geometrically nonlinear vibration (GNV) analysis of multiferroic composite plates and doubly curved shells. The coupled constitutive equations involving ferroelastic, ferroelectric and ferromagnetic properties of multiferroic composite materials along with the total potential energy principle are utilized to derive the finite element formulation for the multiferroic or magneto-electro-elastic (MEE) plates/shells. The electric and the magnetic potentials are assumed to vary linearly in the transverse direction. The electric and magnetic potential distribution in the plate/shell is computed by using the Maxwell's electromagnetic relations. The significance of geometric nonlinearity has been considered using the von Kármán nonlinear strain-displacement relations. Importance of curvature aspect ratio, curvature ratio and the thickness aspect ratio on the nonlinear frequency ratios of the multiferroic/MEE doubly curved shells has been investigated. The backbone curves for multiferroic plates and shells have been studied by considering various aspect ratios. Impact of layer stacking sequence, boundary conditions and coupled fields on the central deflection and nonlinear frequency ratio of the multiferroic plates and shells have been investigated.