Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/128196
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Type: Journal article
Title: Nonlinear oscillations of FG cantilevers
Author: Ghayesh, M.
Citation: Applied Acoustics, 2019; 145:393-398
Publisher: Elsevier
Issue Date: 2019
ISSN: 0003-682X
1872-910X
Statement of
Responsibility: 
Mergen H. Ghayesh
Abstract: The nonlinear vibrations of functionally graded (FG) cantilevers is investigated. The FG system undergoes large-amplitude oscillations as one end is free to move both transversely and axially; this causes large vibrations due to inertial and curvature nonlinear terms in the equation of motion. The FG properties change gradually in the thickness direction according to the Mori-Tanaka method. The constitutive relations are built and Hamilton’s energy/work principle is used giving coupled continuous models. The centreline extensibility is neglected which gives an integro-nonlinear model of the FG system. A reduction version is obtained using Galerkin’s technique. Numerical integrations for frequency/displacement responses are performed using a continuation technique. A dynamic balance between the FG-system nonlinearities gives a vibration of weak softening-type.
Keywords: Cantilevers; oscillations; FG; softening response; nonlinear
Rights: © 2018 Elsevier Ltd. All rights reserved.
RMID: 0030102338
DOI: 10.1016/j.apacoust.2018.08.014
Appears in Collections:Mechanical Engineering publications

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