TY - JOUR

T1 - Travelling wave ultrasonic motors, Part I:

T2 - Working principle and mathematical modelling of the stator

AU - Hagedorn, P.

AU - Wallaschek, J.

N1 - Copyright: Copyright 2015 Elsevier B.V., All rights reserved.

PY - 1992/5/22

Y1 - 1992/5/22

N2 - Travelling wave ultrasonic motors have recently been attracting considerable attention: they may possibly soon replace-at least in certain areas-small electromagnetic motors. This development has been made possible by recent advances in power electronics, material research and digital control, which allow utilization of the piezoelectric effect for low power motors. In these motors the mechanical energy is generated with frequencies of the order of 40 kHz via piezo-elements producing bending waves in a stator, which has approximately the form of a circular plate. The rotor is then driven by the stator via contact forces, and with an extremely simple mechanism frequency reductions of 1:40 000 and more are obtained between the stator vibration and the rotor motion. As a consequence, one can work in the 40 kHz range on the electrical side, while a low frequency rotation is obtained on the mechanical side, as is desirable for many applications. In the present paper, which is the first of a series, the working principle of travelling wave ultrasonic motors is reviewed, and the main phenomena are mathematically modelled. In further papers a detailed mathematical description of the stator vibration and a first model of the contact problem will be given.

AB - Travelling wave ultrasonic motors have recently been attracting considerable attention: they may possibly soon replace-at least in certain areas-small electromagnetic motors. This development has been made possible by recent advances in power electronics, material research and digital control, which allow utilization of the piezoelectric effect for low power motors. In these motors the mechanical energy is generated with frequencies of the order of 40 kHz via piezo-elements producing bending waves in a stator, which has approximately the form of a circular plate. The rotor is then driven by the stator via contact forces, and with an extremely simple mechanism frequency reductions of 1:40 000 and more are obtained between the stator vibration and the rotor motion. As a consequence, one can work in the 40 kHz range on the electrical side, while a low frequency rotation is obtained on the mechanical side, as is desirable for many applications. In the present paper, which is the first of a series, the working principle of travelling wave ultrasonic motors is reviewed, and the main phenomena are mathematically modelled. In further papers a detailed mathematical description of the stator vibration and a first model of the contact problem will be given.

UR - http://www.scopus.com/inward/record.url?scp=0026866354&partnerID=8YFLogxK

U2 - 10.1016/0022-460X(92)90643-C

DO - 10.1016/0022-460X(92)90643-C

M3 - Article

AN - SCOPUS:0026866354

VL - 155

SP - 31

EP - 46

JO - Journal of sound and vibration

JF - Journal of sound and vibration

SN - 0022-460X

IS - 1

ER -