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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
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
Benamar, Rhali

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.

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Published date: 1990

Identifiers

Local EPrints ID: 460707
URI: http://eprints.soton.ac.uk/id/eprint/460707
PURE UUID: 094f4857-ae3a-4357-b8f6-41214ac2861a

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Date deposited: 04 Jul 2022 18:28
Last modified: 04 Jul 2022 19:39

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Contributors

Author: Rhali Benamar

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