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Modal Analysis of Al-Al₂O₃ FG Thick Plate Using Graded FEM

P. S. Ravi Kumar*, P. Nanda Kumar **, G. Ranga Janardhana***

*-** Department of Mechanical Engineering, N.B.K.R. Institute of Science and Technology, Vidyanagar, Nellore, India

*** Department of Mechanical Engineering, JNTUA University College of Engineering, Ananthapuramu, India.

Periodicity:August - October'2019
DOI : https://doi.org/10.26634/jfet.15.1.16268

Abstract

Obtaining natural frequencies and accompanying mode shapes are key to acoustic design of structures such as aircraft bodies. The design of such structures using Functionally Graded (FG) thick plates is quite complex because the behaviour is not often properly predicted. Hence in this paper, it is proposed to apply finite element analysis procedure for obtaining the dynamic flexure behaviour of functionally graded thick plates. The first order shear deformation theory which is a very good start up for analyzing bending behaviour for thick plates was followed. The graded plates are made up of Al and Al₂O₃ combination. Graded Finite Element Method (FEM), which accommodates for continuous variation in material properties of the elements was resorted to for the numerical analysis. MATLAB code was tailored for obtaining free vibration solutions, accommodating the material property variation in thickness direction. A parametric study with different power-law indices, thickness ratios and support conditions on non-dimensional frequency parameter was performed.

Keywords

FG Thick Plates; Vibration behaviour; Graded FEM; Power Law; MATLAB.

How to Cite this Article?

Kumar, P., S., R., Kumar, P., N., and Janardhana, G., R. (2019). Modal Analysis of Al-Al2O3FG Thick Plate Using Graded FEM. i-manager’s Journal on Future Engineering and Technology , 15(1), 18-29. https://doi.org/10.26634/jfet.15.1.16268

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Modal Analysis of Al-Al2O3 FG Thick Plate Using Graded FEM