Analytical solutions for the transverse deflection of a piezoelectric circular axisymmetric unimorph actuator

Shuxiang Dong, Kenji Uchino, Longtu Li, Dwight Viehland

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

This paper presents analytical solutions to the transverse deformation shape of a circular axisymmetric piezoelectric-metal composite unimorph actuator. The solutions account for both the influence of an applied electric field and a concentrated or uniformly distributed mechanical load. Using piezoelectric constitutive equations, combined with thin plate and small bending elastic theory, the generalized equation of motion for bending of thin piezoelectric-metal composite plates has been derived. Our approach predicts that there is an optimum thickness ratio between the piezoelectric and metal plates, which leads to a maximum combination of deflection and load carrying capabilities. Derived formulas are very simple that offer a quick method for engineering design and optimization of a circular unimorph piezoelectric actuator.

Original languageEnglish (US)
Pages (from-to)1240-1248
Number of pages9
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume54
Issue number6
DOIs
StatePublished - Jun 1 2007

Fingerprint

deflection
Actuators
actuators
elastic bending
Plate metal
metal plates
composite materials
thickness ratio
piezoelectric actuators
Piezoelectric actuators
thin plates
Composite materials
constitutive equations
Constitutive equations
Metals
metals
Equations of motion
equations of motion
Electric fields
engineering

All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering

Cite this

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Analytical solutions for the transverse deflection of a piezoelectric circular axisymmetric unimorph actuator. / Dong, Shuxiang; Uchino, Kenji; Li, Longtu; Viehland, Dwight.

In: IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 54, No. 6, 01.06.2007, p. 1240-1248.

Research output: Contribution to journalArticle

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