Vibration Behaviour of Shear Deformable Laminated Plates Composed of Non-Homogeneous Layers

Document Type : Research Paper


1 Department of Mathematics, Istanbul Ticaret University, Beyoglu, 34445 Istanbul, Turkey

2 Scientific Research Department of Azerbaijan University of Architecture and Construction, Baku 1073, Azerbaijan

3 Scientific Research Centers for Composition Materials of UNEC Azerbaijan State Economic University, Baku 1001, Azerbaijan

4 Department of Structural Engineering, Engineering Faculty, Istanbul Ticaret University, 34445 Beyoglu/Istanbul, Turkey

5 Department of Machine Design and Industrial Technologies, Azerbaijan Technical University, H. Javid Ave. 25, AZ1073, Baku, Azerbaijan


The free vibration behavior of laminated plates consisting of non-homogenous orthotropic layers is presented. First, the mechanical properties of laminated plates composed of non-homogenous (NH) orthotropic layers are modelled. After establishing the basic relations of laminated plates within shear deformation theory (SDT), governing equations are derived in the framework of Donnell type plate theory. The solution of the governing equations is carried out by the Galerkin method and the analytical expression is found for the linear frequency of plates composed of non-homogenous orthotropic layers. Finally, the influences of various factors such as shear stresses, non-homogeneity, number and arrangement of layers on the frequency of rectangular plates are examined.


Main Subjects

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Volume 55, Issue 2
April 2024
Pages 201-208
  • Receive Date: 26 February 2024
  • Accept Date: 01 March 2024