A mode order optimized disk resonator gyroscope considering thermoelastic damping

Qin, Zhongyuan; Ding, Xu Chu; Ge, Xiao; Ruan, Zhihu; Li, Hongsheng

doi:10.1016/j.ijmecsci.2022.107737

Cited by 15 publications

(3 citation statements)

References 54 publications

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“…Ring and multi-ring (disk) resonators are advantageous in terms of their structural simplicity and low immunity for acceleration due to the symmetrical structure. Compared with the hemispheric gyroscope proposed in recent years, which has the best performance among vibratory gyroscopes, ring or disk resonators have unique advantages in terms of the fabrication difficulty for their two-dimensional structures [ 29 , 30 ]. Between ring and disk types, the disk resonator has a better performance than the ring resonator because the disk structure characteristics possess higher detection sensitivity, Q-factor, and better electrostatic tuning ability [ 31 , 32 ].…”

Section: Introductionmentioning

confidence: 99%

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

Wang

Chen

Tsukamoto

et al. 2023

Sensors

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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 n = 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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Section: Introductionmentioning

confidence: 99%

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

Wang

Chen

Tsukamoto

et al. 2023

Sensors

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“…Since then and up to recent times, they are also used to analyze the vibrational aspects and TED of several types of structures like rings, cylinders, beams, resonators, plates, layered structures, etc., as can be seen in the works of Lifshitz and Roukes [16], Li et al [17], Zuo et al [18], Kumar and Mukhopadhyay [19], Weng et al [20], Ranji et al [21], Barati and Zenkour [22], Sobhy and Zenkour [23], etc. More recently, TED and FS were analyzed by Zhou and Li [24], Guha and Singh [25], Abouelregal and Sedighi [26], Guha and Singh [27], Qin et al [28], etc. Due to several important applications, another significant area of research is the analysis of quality factors of micro-beam resonators in a wide range of gas rarefaction conditions.…”

Section: Introductionmentioning

confidence: 99%

“…The expression of M T 0 given in equation (28), after utilizing the term given in equation (30), results in…”

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confidence: 99%

Thermoelastic damping and frequency shift of different micro-scale piezoelectro-magneto-thermoelastic beams

Guha,

Singh,

Singh

2023

Phys. Scr.

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This work focuses on mathematically studying thermoelastic damping (TED) and frequency shift (FS) in micro-scale piezoelectro-magneto-thermoelastic (PEMT) composite beams composed of BaTiO3-CoFe2O4 combination. Pertaining to cutting-edge micro-technologies implemented in several engineering/scientific applications now-a-days, micro-scale doubly clamped (CC), doubly simply supported (SS), clamped-free (CF), and clamped-simply supported (CS) beams are extensively analyzed. The beams are modeled following the linear Euler–Bernoulli assumptions. The first two eigenvalues of all beams are numerically obtained using Newton-Raphson method. The closed-form expressions of TED and FS of all beams are derived analytically. The influences of Classical dynamical coupled (CL), Lord-Shulman (LS) & Green-Lindsay (GL) thermoelasticity theories, beam dimensions, BaTiO3 volume fraction (Ωf), and the first two modes M1 & M2) on the TED & FS are meticulously analyzed. Critical thickness (CrTh), critical length (CrLt), and TED (inverse Quality factor) of the beams are numerically obtained and studied. Among other key outcomes, the existence of a critical value of Ωf is established in the range Ωf∈ [ [0.5, 0.55], at which, the TED and FS display a drastic change in their natures. The outcomes of the present analysis may find immense potential uses in the design and development of PEMT composite micro-beams, and their applications in several areas such as supporting/stiffening other micro/nanostructures, construction works, sensitive sensing applications, etc.

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Thermoelastic damping in cylindrical shells with arbitrary boundaries

Zheng

Wen

et al. 2023

International Journal of Heat and Mass Transfer

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A mode order optimized disk resonator gyroscope considering thermoelastic damping

Cited by 15 publications

References 54 publications

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

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

Thermoelastic damping and frequency shift of different micro-scale piezoelectro-magneto-thermoelastic beams

Thermoelastic damping in cylindrical shells with arbitrary boundaries

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