Development of a novel ultrasonic motor resonator using topology optimization |
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Authors: | G M��Boungui P W Loveday C S Long |
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Affiliation: | (1) CSIR Materials Science and Manufacturing, 395, Pretoria, 0001, South Africa |
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Abstract: | The use of topology optimization in the design of a novel stator for an ultrasonic motor (USM) is investigated. The design
challenge is to produce a stator, with two resonant modes whose frequencies are in a ratio of 1:2. When driven together, these
modes result in a contact point trajectory in a figure of eight shape. As a result, only one electronic amplifier is required
to drive the proposed device. In contrast traditional travelling wave USM, with elliptical contact point trajectories, require
two modes with equal resonant frequencies to be driven 90° out of phase, and therefore require two amplifiers, one for each
mode. To achieve a suitable stator design, a slightly unconventional topology optimization problem formulation is proposed,
in which the objective function is to minimize the amount of material with intermediate density, while satisfying a constraint
related to the frequency ratio of selected resonant modes. The planar design produced using the optimization procedure was
refined using a detailed three dimensional finite element analysis. A prototype of the proposed stator design was manufactured
and experimentally characterized. Scanning laser vibrometry measurements from two positions were used to measure the figure
of-eight motion. Finally, the stator was fitted with a preloaded slider to form a simple linear motor demonstrator which was
characterized experimentally. The prototype motor produced a slider speed of 14 mm/s reversibly and a maximum force of 50 mN. |
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