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

Shuxiang Dong; Kenji Uchino; Longtu Li; Dwight Viehland

doi:10.1109/TUFFC.2007.377

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

Shuxiang Dong, Kenji Uchino, Longtu Li, Dwight Viehland

Materials Research Institute (MRI)

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

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 language	English (US)
Pages (from-to)	1240-1248
Number of pages	9
Journal	IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume	54
Issue number	6
DOIs	https://doi.org/10.1109/TUFFC.2007.377
State	Published - Jun 2007

All Science Journal Classification (ASJC) codes

Instrumentation
Acoustics and Ultrasonics
Electrical and Electronic Engineering

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10.1109/TUFFC.2007.377

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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.",

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AB - 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.

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

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