Abstract
The current work investigates the effect of thickness stretching on the natural frequencies of laminate-faced sandwich plates using new layerwise finite element model. The proposed model assumes higher-order displacement field for the core and first-order displacement field for the face sheets. Thanks for enforcing the continuity of the interlaminar displacement, the number of variables is independent of the number of layers. The consistent mass matrix and the element stiffness matrix are derived using the Hamilton’s principle. The performance and reliability of the proposed formulation are demonstrated by comparing the author’s results with those obtained using the three-dimensional elasticity theory, analytical solutions and other advanced finite element models.
Highlights
Composite sandwich structurers provide high performance and reliability due to their low weight, high stiffness and high strength properties
The equivalent single layer (ESL) approach can be divided into three major theories, namely: (1) the classical laminated plate theory (CLPT); (2) the first order shear deformation theory (FSDT); and (3) the higher order shear deformation theories (HSDT)
Elmalich & Rabinovitch (2012) have undertaken an analysis on the dynamics of sandwich plates, using a C0 four-node rectangular element. The formulation of this element is based on the use of a new layerwise model, where the FSDT is used for the face sheets and the HSDT is used for the core
Summary
Composite sandwich structurers provide high performance and reliability due to their low weight, high stiffness and high strength properties. We can distinguish the work of Nabarrete et al (2003), where a 3D layerwise FE model is developed for free vibration analysis of sandwich plates They used the FSDT to model the face sheets and the HSDT was adopted to model the core. An eight nodes quadrilateral element having 136 DOFs was developed by Araújo et al (2010) for the analysis of sandwich laminated plates with a viscoelastic core and laminated anisotropic face layers The construction of this element is based on layerwise approach where. Elmalich & Rabinovitch (2012) have undertaken an analysis on the dynamics of sandwich plates, using a C0 four-node rectangular element The formulation of this element is based on the use of a new layerwise model, where the FSDT is used for the face sheets and the HSDT is used for the core. The results obtained from this investigation will be useful for a more understanding of the free vibration behavior of sandwich laminates plates
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