Nonlinear dynamic response of a functionally graded plate with a through-width surface crack

Yang, J., Hao, Y. X., Zhang, W. and Kitipornchai, S. (2010) Nonlinear dynamic response of a functionally graded plate with a through-width surface crack. Nonlinear Dynamics, 59 1-2: 207-219. doi:10.1007/s11071-009-9533-9

Author Yang, J.
Hao, Y. X.
Zhang, W.
Kitipornchai, S.
Title Nonlinear dynamic response of a functionally graded plate with a through-width surface crack
Journal name Nonlinear Dynamics   Check publisher's open access policy
ISSN 0924-090X
Publication date 2010
Year available 2010
Sub-type Article (original research)
DOI 10.1007/s11071-009-9533-9
Open Access Status
Volume 59
Issue 1-2
Start page 207
End page 219
Total pages 13
Place of publication Dordrecht, The Netherlands
Publisher Springer Netherlands
Collection year 2010
Language eng
Subject 2604 Applied Mathematics
2210 Mechanical Engineering
2202 History and Philosophy of Specific Fields
2212 Ocean Engineering
2208 Electrical and Electronic Engineering
2207 Control and Systems Engineering
Abstract A nonlinear vibration analysis of a simply supported functionally graded rectangular plate with a through-width surface crack is presented in this paper. The plate is subjected to a transverse excitation force. Material properties are graded in the thickness direction according to exponential distributions. The cracked plate is treated as an assembly of two subplates connected by a rotational spring at the cracked section whose stiffness is calculated through stress intensity factor. Based on Reddy's third-order shear deformation plate theory, the nonlinear governing equations of motion for the FGM plate are derived by using the Hamilton's principle. The deflection of each subplate is assumed to be a combination of the first two mode shape functions with unknown constants to be determined from boundary and compatibility conditions. The Galerkin's method is then utilized to convert the governing equations to a two-degree-of-freedom nonlinear system including quadratic and cubic nonlinear terms under the external excitation, which is numerically solved to obtain the nonlinear responses of cracked FGM rectangular plates. The influences of material property gradient, crack depth, crack location and plate thickness ratio on the vibration frequencies and transient response of the surface-racked FGM plate are discussed in detail through a parametric study. Copyright
Keyword Functionally graded materials
Nonlinear dynamic response
Rectangular plate
Surface crack
Third order shear deformation plate theory
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 27 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 29 Oct 2014, 11:54:05 EST by Jeannette Watson on behalf of School of Civil Engineering