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Three-Dimensional Elasticity Solution for Free Vibrations of Exponentially Graded Plates

DSpace at IIT Bombay

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Title Three-Dimensional Elasticity Solution for Free Vibrations of Exponentially Graded Plates
 
Creator REDDY, KSK
KANT, T
 
Subject Functionally graded plates
Exponentially graded plates
Three-dimensional elasticity theory
Power series
Exact method
RECTANGULAR-PLATES
SANDWICH PLATES
ANNULAR PLATES
FGM PLATES
COMPOSITE
DEFORMATIONS
 
Description A three-dimensional exact free vibration solution for plates made of functionally graded materials is provided in the current study. An analytical solution in the form of a power series and numerical results for plates having material with an exponential distribution of properties across the thickness are established. Exact solutions for linearly elastic, simply supported, and rectangular plates based on three-dimensional elasticity theory are derived. A power series method is used to find the natural frequencies. An assumed displacement field identically satisfies all the boundary conditions. Numerical results for frequencies are provided for exponentially graded thick and thin plates. The presented results should serve as benchmark frequencies for exponentially graded plates. (C) 2014 American Society of Civil Engineers.
 
Publisher ASCE-AMER SOC CIVIL ENGINEERS
 
Date 2014-12-29T04:36:56Z
2014-12-29T04:36:56Z
2014
 
Type Article
 
Identifier JOURNAL OF ENGINEERING MECHANICS, 140(7)
0733-9399
1943-7889
http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000756
http://dspace.library.iitb.ac.in/jspui/handle/100/17093
 
Language English