Nonlinear dynamic behaviour of fully clamped beams and rectangular isotropic and laminated plates
Nonlinear dynamic behaviour of fully clamped beams and rectangular isotropic and laminated plates
The nonlinear vibration of fully clamped beams and rectangular isotropic and laminated plates at large vibration amplitudes is examined in this work. Complementary theoretical and experimental studies have been carried out which show that the mode shapes and natural frequencies are amplitude dependent with accentuated nonlinear behaviour in the case of CFRP plates. A theoretical model has been developed, based on Hamilton's principle and spectral analysis, which allows all of the above cases to be treated in a unified manner and provides a rapid method for calculating the change in mode shapes and natural frequencies at large amplitudes of vibration. Measurements and analyses of the spatial distribution of the response harmonic distortion of a fully clamped rectangular isotropic plate show that the response second harmonic component is spatially distributed according to the second mode shape of the plate tested. An attempt has been made to develop a theoretical model for nonlinear free vibration of beams and plates taking into account the spatial distribution of harmonic distortion.
University of Southampton
Benamar, Rhali
97a3fa25-6988-4a5c-9899-27075a193318
1990
Benamar, Rhali
97a3fa25-6988-4a5c-9899-27075a193318
Benamar, Rhali
(1990)
Nonlinear dynamic behaviour of fully clamped beams and rectangular isotropic and laminated plates.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
The nonlinear vibration of fully clamped beams and rectangular isotropic and laminated plates at large vibration amplitudes is examined in this work. Complementary theoretical and experimental studies have been carried out which show that the mode shapes and natural frequencies are amplitude dependent with accentuated nonlinear behaviour in the case of CFRP plates. A theoretical model has been developed, based on Hamilton's principle and spectral analysis, which allows all of the above cases to be treated in a unified manner and provides a rapid method for calculating the change in mode shapes and natural frequencies at large amplitudes of vibration. Measurements and analyses of the spatial distribution of the response harmonic distortion of a fully clamped rectangular isotropic plate show that the response second harmonic component is spatially distributed according to the second mode shape of the plate tested. An attempt has been made to develop a theoretical model for nonlinear free vibration of beams and plates taking into account the spatial distribution of harmonic distortion.
Text
329917.pdf
- Version of Record
More information
Published date: 1990
Identifiers
Local EPrints ID: 460707
URI: http://eprints.soton.ac.uk/id/eprint/460707
PURE UUID: 094f4857-ae3a-4357-b8f6-41214ac2861a
Catalogue record
Date deposited: 04 Jul 2022 18:28
Last modified: 16 Mar 2024 18:41
Export record
Contributors
Author:
Rhali Benamar
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics