A semi-analytic approach for the nonlinear dynamic response of circular plates

Peng, J. -S., Yuan, Y-Q., Yang, J. and Kitipornchai, S. (2009) A semi-analytic approach for the nonlinear dynamic response of circular plates. Applied Mathematical Modelling, 33 12: 4303-4313. doi:10.1016/j.apm.2009.03.007

Author Peng, J. -S.
Yuan, Y-Q.
Yang, J.
Kitipornchai, S.
Title A semi-analytic approach for the nonlinear dynamic response of circular plates
Journal name Applied Mathematical Modelling   Check publisher's open access policy
ISSN 0307-904X
Publication date 2009-01-01
Year available 2009
Sub-type Article (original research)
DOI 10.1016/j.apm.2009.03.007
Volume 33
Issue 12
Start page 4303
End page 4313
Total pages 11
Place of publication New York, NY United States
Publisher Elsevier Inc.
Language eng
Abstract This paper presents a new semi-analytic perturbation differential quadrature method for geometrically nonlinear vibration analysis of circular plates. The nonlinear governing equations are converted into a linear differential equation system by using Linstedt-Poincaré perturbation method. The solutions of nonlinear dynamic response and the nonlinear free vibration are then sought through the use of differential quadrature approximation in space domain and analytical series expansion in time domain. The present method is validated against analytical results using elliptic function in several examples for both clamped and simply supported circular plates, showing that it has excellent accuracy and convergence. Compared with numerical methods involving iterative time integration, the present method does not suffer from error accumulation and is able to give very accurate results over a long time interval.
Keyword Circular plates
Differential quadrature method
Nonlinear vibration
Perturbation technique
Semi-analytical approach
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 10 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 11 times in Scopus Article | Citations
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Created: Wed, 29 Oct 2014, 21:54:39 EST by Jeannette Watson on behalf of School of Civil Engineering