Ultrasonic motor resonator design using shape and topology optimization

Philip W. Loveday; Craig S. Long; Albert A. Groenwold

doi:10.1117/12.539791

26 July 2004 Ultrasonic motor resonator design using shape and topology optimization

Philip W. Loveday, Craig S. Long, Albert A. Groenwold

Author Affiliations +

Proceedings Volume 5390, Smart Structures and Materials 2004: Smart Structures and Integrated Systems; (2004) https://doi.org/10.1117/12.539791
Event: Smart Structures and Materials, 2004, San Diego, CA, United States

Abstract

Many ultrasonic motors are based on resonators that have two modes of vibration with equal resonant frequencies. Excitation of the two modes with a 90°-phase shift is used to generate elliptical motion at the contact points between resonator and slider. An alternative motor using two modes with a resonant frequency ratio of 1:2 has been demonstrated in the literature. The contact point in this stator describes a Lissajous figure ('8') instead of an ellipse. The motor requires only a single power amplifier and piezoelectric ceramic element. The challenge of designing such a resonator is to achieve the predetermined resonant frequency ratio with corresponding modes having usable motion at the contact points. In this paper, topology optimization was applied to design a resonator that has two modes satisfying these conditions. The topology optimization problem was formulated in an unusual manner with direct minimization of the intermediate density and a constraint on the natural frequency ratio. The design domain was discretized using four-noded membrane elements with drilling degrees of freedom due to their superior efficiency. Manual shape optimization, considering 3-D effects, was performed on the design produced by the topology optimization step. A prototype resonator was constructed and tested to verify the numerical modeling.

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Philip W. Loveday, Craig S. Long, and Albert A. Groenwold "Ultrasonic motor resonator design using shape and topology optimization", Proc. SPIE 5390, Smart Structures and Materials 2004: Smart Structures and Integrated Systems, (26 July 2004); https://doi.org/10.1117/12.539791

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