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Free vibration analysis of composite beams with overlapping delaminations

Free vibration analysis of composite beams with overlapping delaminations
Free vibration analysis of composite beams with overlapping delaminations
The free vibration of composite beams with two overlapping delaminations have been solved analytically without resorting to numerical approximation. The delaminated beam is analyzed as seven interconnected Euler–Bernoulli beams using the delaminations as their boundaries. The continuity and equilibrium conditions are satisfied between the adjoining regions of the beams. Lower and upper bounds of the natural frequencies of the delaminated beams are identified by assuming totally ‘free’ and totally ‘constrained’ deformations of the delaminated layers, respectively. The influence of the delaminations on the natural frequencies and mode shapes of the cantilever and clamped–clamped beams are investigated. Results show the dominating influence of the longer delamination on the natural frequency of the beam. Similar trends are observed for the second mode frequency and mode shape of the cantilever beam and the fundamental frequency and mode shape of the clamped–clamped beam. Comparison with analytical and experimental results reported in the literature verifies the validity of the present solution.
delamination, vibration, composite beams, bending-extension coupling
0997-7538
491-503
Della, Christian N.
218552a1-70df-411c-9197-a24a243b1002
Shu, Dongwei
c54c2744-7263-43e5-8eda-7d329d44c4d8
Della, Christian N.
218552a1-70df-411c-9197-a24a243b1002
Shu, Dongwei
c54c2744-7263-43e5-8eda-7d329d44c4d8

Della, Christian N. and Shu, Dongwei (2005) Free vibration analysis of composite beams with overlapping delaminations. European Journal of Mechanics - A/Solids, 24 (3), 491-503. (doi:10.1016/j.euromechsol.2005.01.007).

Record type: Article

Abstract

The free vibration of composite beams with two overlapping delaminations have been solved analytically without resorting to numerical approximation. The delaminated beam is analyzed as seven interconnected Euler–Bernoulli beams using the delaminations as their boundaries. The continuity and equilibrium conditions are satisfied between the adjoining regions of the beams. Lower and upper bounds of the natural frequencies of the delaminated beams are identified by assuming totally ‘free’ and totally ‘constrained’ deformations of the delaminated layers, respectively. The influence of the delaminations on the natural frequencies and mode shapes of the cantilever and clamped–clamped beams are investigated. Results show the dominating influence of the longer delamination on the natural frequency of the beam. Similar trends are observed for the second mode frequency and mode shape of the cantilever beam and the fundamental frequency and mode shape of the clamped–clamped beam. Comparison with analytical and experimental results reported in the literature verifies the validity of the present solution.

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More information

Submitted date: 17 August 2004
Published date: May 2005
Keywords: delamination, vibration, composite beams, bending-extension coupling
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 50337
URI: https://eprints.soton.ac.uk/id/eprint/50337
ISSN: 0997-7538
PURE UUID: 58b217a7-978e-4f6e-9e6c-0146360f5b90

Catalogue record

Date deposited: 18 Feb 2008
Last modified: 13 Mar 2019 20:52

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