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Natural frequency of beams with embedded piezoelectric sensors and actuators

Natural frequency of beams with embedded piezoelectric sensors and actuators
Natural frequency of beams with embedded piezoelectric sensors and actuators
A mathematical model is developed to study the natural frequency of beams with embedded piezoelectric sensors and actuators. The piezoelectric sensors/actuators in a non-piezoelectric matrix (host beam) are analyzed as two inhomogeneity problems 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 sensors/actuators. The Euler-Bernoulli beam theory and Rayleigh-Ritz approximation technique are used in the present analysis. Parametric studies show that the size, volume fraction and location of the piezoelectric inclusions significantly influence the natural frequency of the beam.
Natural frequency, Beam, Piezoelectric sensors and actuators, Eshelby’s equivalent inclusion method.
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 (2007) Natural frequency of beams with embedded piezoelectric sensors and actuators. World Forum on Smart Materials and Smart Structures Technology (SMSST ‘07), Chongqing & Nanjing, China. 21 - 26 May 2007. 5 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

A mathematical model is developed to study the natural frequency of beams with embedded piezoelectric sensors and actuators. The piezoelectric sensors/actuators in a non-piezoelectric matrix (host beam) are analyzed as two inhomogeneity problems 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 sensors/actuators. The Euler-Bernoulli beam theory and Rayleigh-Ritz approximation technique are used in the present analysis. Parametric studies show that the size, volume fraction and location of the piezoelectric inclusions significantly influence the natural frequency of the beam.

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More information

Published date: May 2007
Venue - Dates: World Forum on Smart Materials and Smart Structures Technology (SMSST ‘07), Chongqing & Nanjing, China, 2007-05-21 - 2007-05-26
Keywords: Natural frequency, Beam, Piezoelectric sensors and actuators, Eshelby’s equivalent inclusion method.
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 50411
URI: http://eprints.soton.ac.uk/id/eprint/50411
PURE UUID: cea1f9fb-785f-4b7c-bea1-c8a45eb81788

Catalogue record

Date deposited: 26 Feb 2008
Last modified: 11 Dec 2021 17:01

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Contributors

Author: Christian N. Della
Author: Dongwei Shu

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