Nonlinear dynamic response of an edge-cracked functionally graded Timoshenko beam under parametric excitation

Yan, T., Yang, J. and Kitipornchai, S. (2012) Nonlinear dynamic response of an edge-cracked functionally graded Timoshenko beam under parametric excitation. Nonlinear Dynamics, 67 1: 527-540. doi:10.1007/s11071-011-0003-9


Author Yan, T.
Yang, J.
Kitipornchai, S.
Title Nonlinear dynamic response of an edge-cracked functionally graded Timoshenko beam under parametric excitation
Journal name Nonlinear Dynamics   Check publisher's open access policy
ISSN 0924-090X
1573-269X
Publication date 2012
Year available 2012
Sub-type Article (original research)
DOI 10.1007/s11071-011-0003-9
Open Access Status
Volume 67
Issue 1
Start page 527
End page 540
Total pages 14
Place of publication Dordrecht, The Netherlands
Publisher Springer Netherlands
Collection year 2012
Language eng
Abstract This paper investigates the nonlinear flexural dynamic behavior of a clamped Timoshenko beam made of functionally graded materials (FGMs) with an open edge crack under an axial parametric excitation which is a combination of a static compressive force and a harmonic excitation force. Theoretical formulations are based on Timoshenko shear deformable beam theory, von Karman type geometric nonlinearity, and rotational spring model. Hamilton's principle is used to derive the nonlinear partial differential equations which are transformed into nonlinear ordinary differential equation by using the Least Squares method and Galerkin technique. The nonlinear natural frequencies, steady state response, and excitation frequency-amplitude response curves are obtained by employing the Runge-Kutta method and multiple scale method, respectively. A parametric study is conducted to study the effects of material property distribution, crack depth, crack location, excitation frequency, and slenderness ratio on the nonlinear dynamic characteristics of parametrically excited, cracked FGM Timoshenko beams.
Keyword Frequency response
Functionally graded materials
Nonlinear vibration
Open edge crack
Parametric excitation
Timoshenko beam
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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Created: Wed, 29 Oct 2014, 11:42:53 EST by Jeannette Watson on behalf of School of Civil Engineering