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 journalArticlepeer-review

40 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 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

All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering

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