Vibration of FGM Plates With Distributed Mass Using Third Order Shear Deformation Theory

علوم کاربردی و محاسباتی در مکانیک

Article 5, Volume 26, Issue 2 - Serial Number 12, September 2015, Pages 55-71   

Document Type: Original Article

DOI: 10.22067/fum-mech.v26i2.33132

Authors

alireza shooshtari^{* 1}; Reza Motahari²; Mohamadreza Kari³

¹Bu-Ali Sina university

²Islamic Azad University, Hamedan

³Islamic Azad university, Saaveh

Abstract

In this paper, free vibration of rectangular functionally graded material (FGM) plates with distributed patch mass is analyzed. Properties of these plates like Young’s modulus and density vary continuously throughout the thickness direction. The plate is defined by power-law, sigmoid or exponential function. The boundary condition of the plate is assumed to be simply supported and the equation of motion is obtained by using of Hamilton principle and third order shear deformation theory. The effects of different parameters such as the plate and mass dimensions and mass ratio on the natural frequencies of the plate are analyzed. Compared to previous results, our results are very accurate in similar cases.

Keywords

Free Vibration; rectangular plate; Distributed Patch Mass; Third Order Shear Deformation Theory

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