Istrazivanja i projektovanja za privreduJournal of Applied Engineering Science

ANALYTICAL AND NUMERICAL SOLUTION FOR FREE VIBRATIONS OF LAMINATED COMPOSITE PLATES


DOI: 10.5937/jaes0-50407 
This is an open access article distributed under the CC BY 4.0
Creative Commons License

Volume 22 article 1184 pages: 245-252

Vasilije Bojović*
Faculty of Civil Engineering, University of Montenegro, Podgorica, Montenegro

Marina Rakočević
Faculty of Civil Engineering, University of Montenegro, Podgorica, Montenegro

In this paper, a comprehensive analysis of the free vibration characteristics of laminated composite plates (LCP) with different thicknesses, is conducted using both analytical and numerical methods. The study encompasses various boundary conditions and considers laminates with cross-ply and angle-ply orientations. The ply orientation, defined as the angle between the x-axis and the fibre direction within each ply, is a key focus of the investigation. Cross-ply laminates are characterized by ply orientations θ of 0° or 90°, while angle-ply laminates exhibit ply orientations of θ and -θ, where 0° ≤ θ ≤ 90°. The analytical and numerical calculation of natural frequencies of vibrations for laminates with symmetric and antisymmetric arrangement of layers is performed. The analytical solution is developed using Single-Layer Theories, including the CLPT (Classical Laminated Plate Theory) and the FSDT (First-order Shear Deformation Theory). The numerical calculation is made using the finite element-based software ANSYS. The influence of dimensions, boundary conditions, and ply orientation, on the values of natural frequencies, is analysed. The conducted analysis detected the significant impact of dimensions, boundary conditions, and ply orientation, on the free vibrations of the considered plates. Increasing the thickness of the plate leads to an increase in shear deformation. Therefore, in the analysis of thicker plates, it is noted that the FSDT yields more accurate results compared to the CLPT. It has been established that the application of Equivalent Single-Layer Theories (CLPT and FSDT) is justified in the analysis of moderately thick plates. In contrast, for the analysis of thick plates, the use of Layerwise theories is recommended.

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