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Structural Engineering and Mechanics
  Volume 70, Number 5, June10 2019 , pages 535-549
DOI: https://doi.org/10.12989/sem.2019.70.5.535
 


Numerical analysis for free vibration of hybrid laminated composite plates for different boundary conditions
Mohammed Amine Benhenni, Tahar Hassaine Daouadji, Boussad Abbès, Fazilay Abbès, Yuming Li and Belkacem Adim

 
Abstract
    This study aimed to develop a high-order shear deformation theory to predict the free vibration of hybrid cross-ply laminated plates under different boundary conditions. The equations of motion for laminated hybrid rectangular plates are derived and obtained by using Hamilton\'s principle. The closed-form solutions of anti-symmetric cross-ply and angle-ply laminates are obtained by using Navier\'s solution. To assess the validity of our method, we used the finite element method. Firstly, the analytical and the numerical implementations were validated for an antisymmetric cross-ply square laminated with available results in the literature. Then, the effects of side-to-thickness ratio, aspect ratio, lamination schemes, and material properties on the fundamental frequencies for different combinations of boundary conditions of hybrid composite plates are investigated. The comparison of the analytical solutions with the corresponding finite element simulations shows the good accuracy of the proposed analytical closed form solution in predicting the fundamental frequencies of hybrid cross-ply laminated plates under different boundary conditions.
 
Key Words
    composites; finite element method (FEM); laminates; plate/shell structures; frequency/modal analysis
 
Address
Boussad Abbès, Fazilay Abbès, Yuming L, Mohammed Amine Benhenni : GRESPI – University of Reims , Campus du Moulin de la Housse BP 1039 - 51687 Reims cedex 2, France.
Belkacem Adim and ahar Hassaine Daouadji: Laboratoire de Géomatique et Développement Durable, University of Tiaret, Algeria
 

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