Vibration of beams with embedded piezoelectric sensors and actuators
Vibration of beams with embedded piezoelectric sensors and actuators
This paper presents a micromechanics approach to the study of the vibration of beams with embedded piezoelectric sensors and actuators. The natural frequency of the beam is determined from the variational principle in Rayleigh quotient form. The piezoelectric sensors and actuators embedded in the beam are analysed using Eshelby's equivalent inclusion method. In addition, the Euler–Bernoulli beam theory and Rayleigh–Ritz approximation technique are used in the analysis. Results show that the size, volume fraction and location of the piezoelectric inclusions significantly influence the natural frequency of the beam. The results of the present model agree well with the theoretical results presented in the literature.
529-537
Della, Christian N.
218552a1-70df-411c-9197-a24a243b1002
Shu, Dongwei
c54c2744-7263-43e5-8eda-7d329d44c4d8
23 February 2006
Della, Christian N.
218552a1-70df-411c-9197-a24a243b1002
Shu, Dongwei
c54c2744-7263-43e5-8eda-7d329d44c4d8
Della, Christian N. and Shu, Dongwei
(2006)
Vibration of beams with embedded piezoelectric sensors and actuators.
Smart Materials and Structures, 15 (2), .
(doi:10.1088/0964-1726/15/2/036).
Abstract
This paper presents a micromechanics approach to the study of the vibration of beams with embedded piezoelectric sensors and actuators. The natural frequency of the beam is determined from the variational principle in Rayleigh quotient form. The piezoelectric sensors and actuators embedded in the beam are analysed using Eshelby's equivalent inclusion method. In addition, the Euler–Bernoulli beam theory and Rayleigh–Ritz approximation technique are used in the analysis. Results show that the size, volume fraction and location of the piezoelectric inclusions significantly influence the natural frequency of the beam. The results of the present model agree well with the theoretical results presented in the literature.
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Submitted date: 12 May 2005
Published date: 23 February 2006
Organisations:
Fluid Structure Interactions Group
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Local EPrints ID: 50328
URI: http://eprints.soton.ac.uk/id/eprint/50328
PURE UUID: 1ff515d9-4c80-404a-8c92-f8a3f12c3805
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Date deposited: 18 Feb 2008
Last modified: 15 Mar 2024 10:05
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Author:
Christian N. Della
Author:
Dongwei Shu
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