Multi-Ring Disk Resonator with Elliptic Spokes for Frequency-Modulated Gyroscope

In this paper, we report a multi-ring disk resonator with elliptic spokes for compensating the aniso-elasticity of (100) single crystal silicon. The structural coupling between each ring segments can be controlled by replacing the straight beam spokes with the elliptic spokes. The degeneration of tw...

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Main Authors: Shihe Wang, Jianlin Chen, Takashiro Tsukamoto, Shuji Tanaka
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/6/2937
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author Shihe Wang
Jianlin Chen
Takashiro Tsukamoto
Shuji Tanaka
author_facet Shihe Wang
Jianlin Chen
Takashiro Tsukamoto
Shuji Tanaka
author_sort Shihe Wang
collection DOAJ
description In this paper, we report a multi-ring disk resonator with elliptic spokes for compensating the aniso-elasticity of (100) single crystal silicon. The structural coupling between each ring segments can be controlled by replacing the straight beam spokes with the elliptic spokes. The degeneration of two <i>n</i> = 2 wineglass modes could be realized by optimizing the design parameters of the elliptic spokes. The mode-matched resonator could be obtained when the design parameter, aspect ratio of the elliptic spokes was 25/27. The proposed principle was demonstrated by both numerical simulation and experiment. A frequency mismatch as small as 1330 ± 900 ppm could be experimentally demonstrated, which was much smaller than that of the conventional disk resonator, which achieved as high as 30,000 ppm.
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spelling doaj.art-a1f834de945b4a3793175842f0ea8c7d2023-11-17T13:43:40ZengMDPI AGSensors1424-82202023-03-01236293710.3390/s23062937Multi-Ring Disk Resonator with Elliptic Spokes for Frequency-Modulated GyroscopeShihe Wang0Jianlin Chen1Takashiro Tsukamoto2Shuji Tanaka3Department of Robotics, Tohoku University, Sendai 9808579, JapanDepartment of Robotics, Tohoku University, Sendai 9808579, JapanDepartment of Robotics, Tohoku University, Sendai 9808579, JapanDepartment of Robotics, Tohoku University, Sendai 9808579, JapanIn this paper, we report a multi-ring disk resonator with elliptic spokes for compensating the aniso-elasticity of (100) single crystal silicon. The structural coupling between each ring segments can be controlled by replacing the straight beam spokes with the elliptic spokes. The degeneration of two <i>n</i> = 2 wineglass modes could be realized by optimizing the design parameters of the elliptic spokes. The mode-matched resonator could be obtained when the design parameter, aspect ratio of the elliptic spokes was 25/27. The proposed principle was demonstrated by both numerical simulation and experiment. A frequency mismatch as small as 1330 ± 900 ppm could be experimentally demonstrated, which was much smaller than that of the conventional disk resonator, which achieved as high as 30,000 ppm.https://www.mdpi.com/1424-8220/23/6/2937disk resonatormode matched resonatorfrequency mismatch(100) single crystal siliconmulti-ring structureelliptic spoke
spellingShingle Shihe Wang
Jianlin Chen
Takashiro Tsukamoto
Shuji Tanaka
Multi-Ring Disk Resonator with Elliptic Spokes for Frequency-Modulated Gyroscope
Sensors
disk resonator
mode matched resonator
frequency mismatch
(100) single crystal silicon
multi-ring structure
elliptic spoke
title Multi-Ring Disk Resonator with Elliptic Spokes for Frequency-Modulated Gyroscope
title_full Multi-Ring Disk Resonator with Elliptic Spokes for Frequency-Modulated Gyroscope
title_fullStr Multi-Ring Disk Resonator with Elliptic Spokes for Frequency-Modulated Gyroscope
title_full_unstemmed Multi-Ring Disk Resonator with Elliptic Spokes for Frequency-Modulated Gyroscope
title_short Multi-Ring Disk Resonator with Elliptic Spokes for Frequency-Modulated Gyroscope
title_sort multi ring disk resonator with elliptic spokes for frequency modulated gyroscope
topic disk resonator
mode matched resonator
frequency mismatch
(100) single crystal silicon
multi-ring structure
elliptic spoke
url https://www.mdpi.com/1424-8220/23/6/2937
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AT takashirotsukamoto multiringdiskresonatorwithellipticspokesforfrequencymodulatedgyroscope
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