Nonlinear mathematical model of percussive type piezoelectric motor with piezoelectric ring cell

Аuthors

Goriachev O. V.^*, Frolov A. A.^**, Ovchinnikov A. V.

Tula State University, TulGU, 92, Lenin av., Tula, 300012, Russia

*e-mail: info@sau.tsu.tula.ru
**e-mail: neymles@rambler.ru

Abstract

The subject of this research is creation of an algorithm for piezoelectric ring cell coefficients calculation, piezoelectric motor static and dynamic characteristics study, setup of technique for piezoelectric percussive type motor with piezoelectric ring cell model coefficients.

In the course of mathematical model setting up, we used decomposition principle, and split the model into three subsystems:

 - piezoelectric element,
 - spring pusher,
 - rotor.

The updated algorithm for piezoelectric ring cell model coefficients calculation, based the dependences stated in reference [1] allowed to simplify design and analysis of piezoelectric motor characteristics.

The paper presents the annular piezoelectric cell resonant frequency tuning technique. We plotted Bode diagram to specify resonant frequency of the annular piezoelectric cell, which allowed us to determine piezoelectric resonator resonance frequency.

To create piezoelectric motor model we took into account the effect of the pushers represented by plate springs and described by compressed spring model. The model of the pusher also accounts for plate spring stiffness factor proportional increase. It allows ignoring trifling alterations of pusher to rotor slope angle. Comparative analysis of obtained characteristics and rated values lead to a conclusion on adequacy of obtained mathematical model.

Keywords:

piezoelectric motor, piezoelectric element, actuator

References

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3. Boikov V.I., Bystrov S.V., Grigorev V.V., Obertov D.E. Izvestiya vuzov. Priborostroenie, 2009, vol. 52, no.11, pp.72-77.
4. Petrenko S.F. Pezoelektricheskii dvigatel v priborostroenii (The piezoelectric engine in instrument), Kiev, Korniichuk, 2002, 96 p.