Vibration of beams with piezoelectric inclusions
Vibration of beams with piezoelectric inclusions
A mathematical model for the vibration of beams with piezoelectric inclusions is presented. The piezoelectric inclusion in a non-piezoelectric matrix (host beam) is analyzed as two inhomogeneous inclusion problems, elastic and dielectric, by using Eshelby’s equivalent inclusion method. The natural frequency of the beam is determined from the variational principle in Rayleigh quotient form, which is expressed as functions of the elastic strain energy and dielectric energy of the piezoelectric inclusion. The Euler–Bernoulli beam theory and Rayleigh–Ritz approximation technique are used in the present analysis. In addition, a parametric study is conducted to investigate the influence of the energies due to piezoelectric coupling on the natural frequency of the beam.
vibration, beam, piezoelectric inclusions, natural frequency, eshelby’s equivalent inclusion method
2509-2522
Della, Christian N.
218552a1-70df-411c-9197-a24a243b1002
Shu, Dongwei
c54c2744-7263-43e5-8eda-7d329d44c4d8
April 2007
Della, Christian N.
218552a1-70df-411c-9197-a24a243b1002
Shu, Dongwei
c54c2744-7263-43e5-8eda-7d329d44c4d8
Della, Christian N. and Shu, Dongwei
(2007)
Vibration of beams with piezoelectric inclusions.
International Journal of Solids and Structures, 44 (7-8), .
(doi:10.1016/j.ijsolstr.2006.08.002).
Abstract
A mathematical model for the vibration of beams with piezoelectric inclusions is presented. The piezoelectric inclusion in a non-piezoelectric matrix (host beam) is analyzed as two inhomogeneous inclusion problems, elastic and dielectric, by using Eshelby’s equivalent inclusion method. The natural frequency of the beam is determined from the variational principle in Rayleigh quotient form, which is expressed as functions of the elastic strain energy and dielectric energy of the piezoelectric inclusion. The Euler–Bernoulli beam theory and Rayleigh–Ritz approximation technique are used in the present analysis. In addition, a parametric study is conducted to investigate the influence of the energies due to piezoelectric coupling on the natural frequency of the beam.
This record has no associated files available for download.
More information
Submitted date: 16 September 2005
Published date: April 2007
Keywords:
vibration, beam, piezoelectric inclusions, natural frequency, eshelby’s equivalent inclusion method
Organisations:
Fluid Structure Interactions Group
Identifiers
Local EPrints ID: 50326
URI: http://eprints.soton.ac.uk/id/eprint/50326
ISSN: 0020-7683
PURE UUID: bbbc2670-794b-40b6-a92d-1ea2cc73ee75
Catalogue record
Date deposited: 15 Feb 2008
Last modified: 15 Mar 2024 10:05
Export record
Altmetrics
Contributors
Author:
Christian N. Della
Author:
Dongwei Shu
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