Free Vibration Analysis of a Porous P-FGM Sandwich Plate Using Refined Shear Deformation Theory

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Free Vibration Analysis of a Porous P-FGM Sandwich Plate Using Refined Shear Deformation Theory

Year : 2025

Publisher : Springer

Source Title : Springer Proceedings in Mathematics and Statistics

Document Type :

Abstract

The current study presents a free vibration analysis of a porous functionally graded material (FGM) sandwich plate via refined shear deformation theory. The FGM sandwich plate employed in this investigation has a homogeneous ceramic core and FGM faces. To incorporate the porosity, three varied kinds of porosity distribution models, namely even, uneven, and linear uneven are chosen. The boundary conditions for the FGM sandwich plate are considered to be simply supported. Further, the eigenvalue equation for the sandwich plate is obtained using Hamilton’s principle following Navier’s solution. The free vibration analysis is carried out for three variants of the porous FGM sandwich plate model, namely 1-1-1, 1-2-1, and 2-1-2. The gradation of material properties of the distinct layers of the FGM sandwich plate is defined using the power law distribution (P-FGM). Finally, the impact of parameters such as porosity distribution models, porosity coefficient, volume fraction, and aspect ratio over frequency parameters is investigated. It is observed that geometrical parameters and porosity coefficient, thickness ratio, and volume fraction of FGM sandwich plate have a significant impact on frequency parameter.