Details
Original language | English |
---|---|
Pages (from-to) | 103-109 |
Number of pages | 7 |
Journal | Ultrasonics |
Volume | 36 |
Issue number | 1-5 |
Publication status | Published - Feb 1998 |
Externally published | Yes |
Abstract
In piezoelectric ultrasonic motors, high-frequency mechanical oscillations are used to create frictional driving forces. The surface points of the cuboid-shaped ultrasonic oscillator presented perform an elliptical motion which is obtained by the superposition of longitudinal and bending vibrations. Both vibration modes can be obtained as solutions of the wave equation and the Timoshenko-Bresse beam equation, respectively, if linear piezoelectric constitutive equations are assumed. Damping and nonlinear material behaviour, which can be observed experimentally, must be taken into account. For this purpose, generalised constitutive equations for piezoceramics were investigated and identified experimentally for SONOX P88 ceramics. The effects of damping and nonlinear material behaviour were introduced in the modelling of the oscillator. The results of the analytical calculation allow an accurate definition of the geometry of the oscillator, so that the two vibration modes have the same resonance frequency. Thus, good controllability of the motor can be obtained. A prototype motor was designed and investigated experimentally. We discuss the material modelling as well as some other important design aspects of this type of motor (e.g. the design of the support, force flow at the stator/rotor interface, and tolerances).
Keywords
- Damping, Motor, Nonlinear material behavior, Piezoelectric motor
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Acoustics and Ultrasonics
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In: Ultrasonics, Vol. 36, No. 1-5, 02.1998, p. 103-109.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Theoretical and experimental studies of a piezoelectric ultrasonic linear motor with respect to damping and nonlinear material behaviour
AU - Kümmel, M.
AU - Goldschmidt, S.
AU - Wallaschek, J.
N1 - Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 1998/2
Y1 - 1998/2
N2 - In piezoelectric ultrasonic motors, high-frequency mechanical oscillations are used to create frictional driving forces. The surface points of the cuboid-shaped ultrasonic oscillator presented perform an elliptical motion which is obtained by the superposition of longitudinal and bending vibrations. Both vibration modes can be obtained as solutions of the wave equation and the Timoshenko-Bresse beam equation, respectively, if linear piezoelectric constitutive equations are assumed. Damping and nonlinear material behaviour, which can be observed experimentally, must be taken into account. For this purpose, generalised constitutive equations for piezoceramics were investigated and identified experimentally for SONOX P88 ceramics. The effects of damping and nonlinear material behaviour were introduced in the modelling of the oscillator. The results of the analytical calculation allow an accurate definition of the geometry of the oscillator, so that the two vibration modes have the same resonance frequency. Thus, good controllability of the motor can be obtained. A prototype motor was designed and investigated experimentally. We discuss the material modelling as well as some other important design aspects of this type of motor (e.g. the design of the support, force flow at the stator/rotor interface, and tolerances).
AB - In piezoelectric ultrasonic motors, high-frequency mechanical oscillations are used to create frictional driving forces. The surface points of the cuboid-shaped ultrasonic oscillator presented perform an elliptical motion which is obtained by the superposition of longitudinal and bending vibrations. Both vibration modes can be obtained as solutions of the wave equation and the Timoshenko-Bresse beam equation, respectively, if linear piezoelectric constitutive equations are assumed. Damping and nonlinear material behaviour, which can be observed experimentally, must be taken into account. For this purpose, generalised constitutive equations for piezoceramics were investigated and identified experimentally for SONOX P88 ceramics. The effects of damping and nonlinear material behaviour were introduced in the modelling of the oscillator. The results of the analytical calculation allow an accurate definition of the geometry of the oscillator, so that the two vibration modes have the same resonance frequency. Thus, good controllability of the motor can be obtained. A prototype motor was designed and investigated experimentally. We discuss the material modelling as well as some other important design aspects of this type of motor (e.g. the design of the support, force flow at the stator/rotor interface, and tolerances).
KW - Damping
KW - Motor
KW - Nonlinear material behavior
KW - Piezoelectric motor
UR - http://www.scopus.com/inward/record.url?scp=0031994337&partnerID=8YFLogxK
U2 - 10.1016/S0041-624X(97)00152-2
DO - 10.1016/S0041-624X(97)00152-2
M3 - Article
AN - SCOPUS:0031994337
VL - 36
SP - 103
EP - 109
JO - Ultrasonics
JF - Ultrasonics
SN - 0041-624X
IS - 1-5
ER -