Novel modeling technique for the stator of traveling wave ultrasonic motors

Jose L Pons*, Humberto Rodríguez, Ramón Ceres, Leopoldo Calderón

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


Traveling wave ultrasonic motors (TWUM) are a promising type of piezoelectric transducers, which are based on the friction transmission of mechanical propagating waves. These waves are excited on the stator by using high Q piezoelectric ceramics. This article presents a modeling strategy, which allows for a quick and precise modal and forced analysis of the stator of TWUM. First-order shear deformation laminated plate theory is applied to annular subdomains (super-elements) of the stator. In addition to shear deformations, the model takes into account the effect of rotary inertia, the stiffness contribution of the teeth, and the linear varying thickness of the stator. Moreover, the formulation considers a more realistic function for the electric field inside the piezoelectric ceramic, i.e., a linear function, instead of the generally assumed constant electric field. The Ritz method is used to find an approximated solution for the dynamic equations. Finally, the modal response is obtained and compared against the results from classical simplified models and the finite element method. Thus, the high accuracy and short computation times of the novel strategy were demonstrated.

Original languageEnglish (US)
Pages (from-to)1429-1435
Number of pages7
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Issue number11
StatePublished - Nov 2003

ASJC Scopus subject areas

  • Instrumentation
  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering


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