Title: Non-linear vibration response of laminated fibre-reinforced rectangular plates

Authors: Alireza Shooshtari; Soheil Razavi

Addresses: Mechanical Engineering Department, Bu-Ali Sina University, 65175-4161, Hamadan, Iran. ' Mechanical Engineering Department, Bu-Ali Sina University, 65175-4161, Hamadan, Iran

Abstract: This paper investigates the non-linear free and forced vibration response of immovable simply-supported composite rectangular plates. The plates are symmetric and are subjected to a transverse pressure which is harmonic in time. A novel procedure is implemented to obtain the non-linear ordinary differential equation by using first order shear deformation theory and Galerkin method. The multiple time scales perturbation method is utilised to obtain an analytical closed-form expression for the non-linear frequency and frequency response equation of the studied plates. After validation of present study with available literature, the non-linear free and forced vibrations of a fibre-metal laminated plate, named Glare 3, have been investigated. Also, the effects of some system parameters on the non-linear frequency have been studied.

Keywords: free vibration; forced vibration; composite rectangular plates; first order shear deformation; Galerkin method; multiple time scales; closed-form expression; nonlinear frequency; steady-state motion; primary resonance; secondary resonance; frequency response equations; backbone curve; fibre-metal laminate; transverse pressure.

DOI: 10.1504/IJVNV.2012.046169

International Journal of Vehicle Noise and Vibration, 2012 Vol.8 No.1, pp.1 - 13

Available online: 28 Mar 2012 *

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