Dynamic Behaviour of Functionally Graded Materials

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Dynamic Behaviour of Functionally Graded Materials

Jami Kalpana1,P.Aknadh2,N.Sai Sagar3,

1Assistant Professor, Dept. of Mechanical, Sanketika Vidya Parishad Engineering College, Vizag, A.P, India

2Assistant Professor, Dept. of Mechanical, Sanketika Vidya Parishad Engineering College, Vizag, A.P, India

3M. Tech (final year),Dept. of Mechanical, Sanketika Vidya Parishad Engineering College, Vizag, A.P, India

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Abstract – The main aim of this study is to determine the natural frequency of a functionally graded material (FGM) plate using Rayleigh-Ritz method. The material properties of the plate is graded along the thickness direction. Simple power law (P-FGM), Sigmoid (S-FGM) and Exponential (E-FGM) laws are used to grade the material as per the volume fractions from bottom to top surface. A metal ceramic composition is graded throughout the thickness i.e., metal is rich on the bottom surface and ceramic is rich on the top surface of the plate. An important objective is to study the effects of metal-ceramic volume fractions and power law indices of different power laws on the natural frequencies of FGM plate. The natural frequencies are found with different boundary conditions at the edges for different power law indices. In addition, the effects of power law index using P-FGM, S-FGM and E-FGM plates on natural frequency with different boundary conditions are studied.

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