Deflection and vibration analysis of higher-order shear deformable compositionally graded porous plate

- Journal title : Steel and Composite Structures
- Volume 20, Issue 1, 2016, pp.205-225
- Publisher : Techno-Press
- DOI : 10.12989/scs.2016.20.1.205

Title & Authors

Deflection and vibration analysis of higher-order shear deformable compositionally graded porous plate

Ebrahimi, Farzad; Habibi, Sajjad;

Ebrahimi, Farzad; Habibi, Sajjad;

Abstract

In this study the finite element method is utilized to predict the deflection and vibration characteristics of rectangular plates made of saturated porous functionally graded materials (PFGM) within the framework of the third order shear deformation plate theory. Material properties of PFGM plate are supposed to vary continuously along the thickness direction according to the power-law form and the porous plate is assumed of the form where pores are saturated with fluid. Various edge conditions of the plate are analyzed. The governing equations of motion are derived through energy method, using calculus of variations while the finite element model is derived based on the constitutive equation of the porous material. According to the numerical results, it is revealed that the proposed modeling and finite element approach can provide accurate deflection and frequency results of the PFGM plates as compared to the previously published results in literature. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of the several parameters such as porosity volume fraction, material distribution profile, mode number and boundary conditions on the natural frequencies and deflection of the PFGM plates in detail. It is explicitly shown that the deflection and vibration behaviour of porous FGM plates are significantly influenced by these effects. Numerical results are presented to serve as benchmarks for future analyses of FGM plates with porosity phases.

Keywords

porous materials;finite element analysis;higher order shear deformation plate theory;vibration;deflection;functionally graded material;

Language

English

Cited by

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Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation,;;;;

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A novel four variable refined plate theory for bending, buckling, and vibration of functionally graded plates,;;;;

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Effect of porosity on vibrational characteristics of non-homogeneous plates using hyperbolic shear deformation theory,;;;;

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Thermal stability of functionally graded sandwich plates using a simple shear deformation theory,;;;;

5.

A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations,;;;

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