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research-article

Modeling the Effect of Imperfections in Glassblown Micro Wineglass Fused Quartz Resonators

[+] Author and Article Information
Yusheng Wang

University of California, Irvine 4200 Engineering Gateway, Irvine, CA 92697
yushengw@uci.edu

Mohammad H. Asadian

University of California, Irvine 4200 Engineering Gateway, Irvine, CA 92697
asadianm@uci.edu

Andrei M. Shkel

University of California, Irvine 4200 Engineering Gateway, Irvine, CA 92697
andrei.shkel@uci.edu

1Corresponding author.

ASME doi:10.1115/1.4036679 History: Received January 03, 2017; Revised May 01, 2017

Abstract

In this paper, we developed an analytical model, supported by experimental results, on the effect of imperfections in glassblown micro wineglass fused quartz resonators. The analytical model predicting the frequency mismatch due to imperfections was derived based on a combination of the Rayleigh’s energy method and the generalized collocation method. The analytically predicted frequency of the n=2 wineglass mode shape was within 10% of the finite element results and within 20% of the experimental results for thin shells, showing the fidelity of the predictive model. The post-processing methods for improvement of the resonator surface quality were also studied. We concluded that the thermal reflow of fused quartz achieves the best result, followed in effectiveness by the RCA-1 surface treatment. All the analytical models developed in this paper are to guide the manufacturing methods to reduce the frequency and damping mismatch, and increase the quality factor of the device.

Copyright (c) 2017 by ASME
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