The vibrations of bi-directional circular FGM plate under uniform in-plane force are investigated on the base of Kirchhoff’s plate theory. Generalized differential quadrature method is applied to get the solution of obtained differential equation representing the equation of motion. The mechanical properties are varying in the thickness as well as in radial direction and described by a power-law. The results for different parameters have been analysed on first three frequencies. Comparison studies are performed to verify the present results.
Topics
Plate theory
REFERENCES
1.
M.
Koizumi
, Ceramic Transactions, Functionally Gradient Materials.
34
, 3
–10
, (1993
).2.
Y.
Miyamoto
, W. A.
Kaysser
, B.H.
Rabin
, A.
Kawasaki
, and R. G.
Ford
. “Functionally Graded Materials: Design, Processing and Applications
” (Vol. 5
), Springer Science and Business Media
, (2013
).3.
V.
Birman
, T.
Keil
, and S.
Hosder
. “Functionally graded materials in engineering.” Structural Interfaces and Attachments in Biology
, 19
–41
, (2013
), Springer
New York
.4.
G
Nie
, and Z.
Zhong
, Appl. Math. Model.
, 34
(3
), 608
–16
, (2010
).5.
A. H.
Baferani
, A. R.
Saidi
, and E.
Jomehzadeh
, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science.
225
(3
), 526
–36
, (2011
).6.
P.
Zhu
, and K.M.
Liew
, Procedia Engineering.
31
, 1089
–94
, (2012
).7.
D.
Shi
, Q.
Wang
, X.
Shi
, and F.
Pang
, Shock Vib.
Article ID 572395, 1
–25
, (2014
).8.
R.
Rezaei
, A. R.
Shaterzadeh
, and S.
Abolghasemi
, J. Solid Mech.
7
(1
), 41
–57
, (2015
).9.
Q.
Wang
, D.
Shi
, Q.
Liang
, X.
Shi
, Compos. Part B-Eng.
88
, 264
–94
, (2016
).10.
S.
Kumar
, V.
Ranjan
, and P.
Jana
, Compos. Struct.
197
, 39
–53
(2018
).11.
V. N.
Van Do
. “A Modified Kirchhoff plate theory for Free Vibration analysis of functionally graded material plates using meshfree method.” IOP Conference Series: Earth and Environmental Science
. 143
, IOP Publishing
, (2018
).12.
U. S.
Gupta
, and A.H.
Ansari
, J. Sound Vib.
, 215
(2
), 231
–250
(1998
).13.
14.
G. C.
Pardoen
, Comput. Struct.
9
(1
), 89
–95
(1978
).15.
16.
T. Y.
Wu
, Y. Y.
Wang
, and G. R.
Liu
, Comput. Meth. Appl. Mech. Eng.
191
, 5365
–5380
(2002
).17.
R.
Lal
, and N.
Ahlawat
, J. Vib. Control
, 23
(13
), 2111
–2127
(2017
).18.
B.
Singh
, and V.
Saxena
, J. Sound Vib.
, 179
(5
), 879
–97
(1995
).19.
A.
Selmane
, and A. A.
Lakis
, J. Sound Vib.
, 220
(2
), 225
–249
(1999
).20.
M.
Eisenberger
, and M.
Jabareen
. Int. J. Struct. Stab. Dy.
, 1
(02
), 195
–206
(2001
).21.
M.
Shariyat
, M. M.
Alipour
. Arch. Appl. Mech.
81
(9
), 1289
–306
, (2011
).
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