Numerical and Analytical Free Vibration Analysis of Composite Plate with Auxetic Core Layer and Functionally Graded Surface Layers

MEHMET ALİ GÜVENÇ

doi:https://doi.org/10.56753/ASREL.2024.2.6

MEHMET ALİ GÜVENÇ, Kerim Gökhan Aktaş

Year : 2024
Vol : 3
Issue : 2
Page : 158-174

DOI : https://doi.org/10.56753/ASREL.2024.2.6

In this study, the free vibration behavior of a sandwich plate with a re-entrant auxetic core layer placed between two functionally graded (FG) composite surface layers are analyzed. Both analytical and numerical methods are employed under various boundary conditions to investigate the free vibration response of the three-layer sandwich structure. The FG layers are modeled using a silicon nitride (〖Si〗_3 N_4)-nickel (Ni) ceramic-metal matrix, selected for its superior thermal and mechanical properties. The material properties of the re-entrant auxetic core and FG surface plates are considered temperature-dependent, allowing for a realistic representation of environmental effects. The effective material properties of the FG plates are defined using a power-law distribution, enabling a gradual variation in composition through the plate’s thickness. Hamilton's principle is applied to derive the governing equations of motion for the sandwich plate, ensuring an accurate theoretical foundation. To analyze the free vibration response, the Finite Element Method (FEM) and Navier method are utilized. FEM offers flexibility for various boundary conditions (BCs), while the Navier method provides a precise analytical solution for plates with uniform conditions. Simulations explore the effects of temperature changes, the power-law index, and the auxetic core’s geometric parameters on the plate’s vibration behavior. The results from the analytical and numerical methods show excellent agreement, confirming the validity of the approaches used. The findings reveal that temperature variations significantly influence the natural frequencies due to changes in material stiffness. Additionally, the power-law index impacts the stiffness distribution, while the auxetic core geometry, such as cell angles and dimensions, plays a key role in modifying the plate's rigidity and free vibration response. This study concludes that by optimizing these parameters, the vibration performance of sandwich plates can be enhanced for specific operating conditions. The findings are expected to provide valuable insights for designing advanced structures in areas such as aerospace, automotive and marine industries.

Cite this Article As : Aktaş, K. A., & Guvenc, M. A. (2024). Numerical and analytical free vibration analysis of composite plate with auxetic core layer and functionally graded surface layers. Aerospace Research Letters (ASREL), 3(2), 158-174. https://doi.org/10.56753/ASREL.2024.2.6

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Numerical and Analytical Free Vibration Analysis of Composite Plate with Auxetic Core Layer and Functionally Graded Surface Layers, Research Article,
2024, Vol. 3 (2)

Received : 27.11.2024, Accepted : 16.12.2024 , Published Online : 27.12.2024