L-shaped piezoelectric motor - Part II: Analytical modeling

Dragan Avirovik, M. Amin Karami, Daniel Inman, Shashank Priya

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


This paper develops an analytical model for an L-shaped piezoelectric motor. The motor structure has been described in detail in Part I of this study. The coupling of the bending vibration mode of the bimorphs results in an elliptical motion at the tip. The emphasis of this paper is on the development of a precise analytical model which can predict the dynamic behavior of the motor based on its geometry. The motor was first modeled mechanically to identify the natural frequencies and mode shapes of the structure. Next, an electromechanical model of the motor was developed to take into account the piezoelectric effect, and dynamics of L-shaped piezoelectric motor were obtained as a function of voltage and frequency. Finally, the analytical model was validated by comparing it to experiment results and the finite element method (FEM).

Original languageEnglish (US)
Article number6138732
Pages (from-to)108-120
Number of pages13
JournalIEEE transactions on ultrasonics, ferroelectrics, and frequency control
Issue number1
StatePublished - Jan 2012

All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering


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