Paper
1 August 2003 Transient behavior of an ultrasonic wobbling-disk motor
Stefanie Gutschmidt, Peter Hagedorn
Author Affiliations +
Abstract
Stationary behavior of a wobbling-disk ultrasonic motor has already been studied in a previous publication with the help of a simple mathematical model. The model is able to capture basic motor features both quantitatively and qualitatively. The mathematical model presented in this paper describes the transient behavior of an ultrasonic wobbling-disk motor. Bending stator vibrations are generated in the ultrasonic motor with the help of a piezoceramic element. Two phase-shifted bending modes cause the upper plate of the stator to undergo a wobbling motion. The rotor is pressed against the stator and driven by frictional forces at the contact point. Both, stator and rotor are modeled as rigid and are elastically supported. The kinematics is described taking into account all geometric nonlinearities. In modeling the transient motion, special attention is given to differentiating between slip and stick contact conditions. Further improvements will include modeling the piezoceramic excitation in more detail. It is presently described by a rotating torque, generating the wobbling motion of the stator.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Stefanie Gutschmidt and Peter Hagedorn "Transient behavior of an ultrasonic wobbling-disk motor", Proc. SPIE 5049, Smart Structures and Materials 2003: Modeling, Signal Processing, and Control, (1 August 2003); https://doi.org/10.1117/12.482844
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CITATIONS
Cited by 1 scholarly publication.
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KEYWORDS
Ultrasonics

Mathematical modeling

Motion models

Kinematics

Differential equations

Prototyping

MATLAB

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