Development of V-Shaped Beam on the Shock Resistance and Driving Frequency of Micro Quartz Tuning Forks Resonant Gyroscope
Abstract
:1. Introduction
2. Working Principle and Fabrication Process of the Gyroscope
2.1. The Working Principle of the Gyroscope
2.2. Fabrication Process
3. Analysis of Impact Response Characteristics of Micro-machined Gyroscope
4. Theory of Shock Test
5. Modal Analysis of the Tuning Forks Structures
6. Modeling, Simulation and Analysis
6.1. Modeling of MEMS Quartz Tuning Forks Resonant Gyroscope
6.2. Simulation and Analysis
6.2.1. Transient Dynamics Simulation
6.2.2. Shock Spectrum Analysis
7. Test and Experiment
8. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Quantity | Symbol | Value |
---|---|---|
Density | ρ | 2651 (kg/m3) |
Young’s modulus | E | 78.3 (GPa) |
Poisson ratio | ν | 0.14 |
Compliance matrix |
Modal | The Natural Frequency of the Structure with Different V-Shaped Beam Thicknesses (Hz) | ||||||||
---|---|---|---|---|---|---|---|---|---|
100 μm | 95 μm | 90 μm | 85 μm | 80 μm | 75 μm | 70 μm | 65 μm | 60 μm | |
1st | 3523.2 | 3348.8 | 3169.1 | 2981.8 | 2787.7 | 2588.3 | 2383 | 2174.4 | 1965.1 |
2nd | 3634.6 | 3626.8 | 3618 | 3608.9 | 3598.9 | 3587.8 | 3575.4 | 3561.7 | 3546.8 |
3rd | 4199.6 | 4199.6 | 4199.6 | 4199.5 | 4199.5 | 4199.5 | 4199.4 | 4199.4 | 4199.4 |
4th | 5933 | 5917.3 | 5900.3 | 5883 | 5864.6 | 5844.5 | 5820.8 | 5344 | 4852.9 |
The Thickness of V-Shaped Beam (μm) | The Maximum Stress Value Generated by Six Shock Directions (MPa) | |||||
---|---|---|---|---|---|---|
X+ Direction | X– Direction | Y+ Direction | Y− Direction | Z+ Direction | Z− Direction | |
100 | 43.0857 | 39.2143 | 0.8280 | 0.8630 | 83.0453 | 81.5029 |
95 | 41.6550 | 39.1881 | 0.8264 | 0.7865 | 83.1088 | 84.3100 |
90 | 35.8839 | 39.5759 | 0.7280 | 0.7478 | 86.8901 | 86.1178 |
85 | 38.5236 | 38.4510 | 0.7376 | 0.7353 | 93.0485 | 93.0750 |
80 | 35.6123 | 37.9682 | 0.6950 | 0.7007 | 94.1470 | 94.7207 |
75 | 40.8235 | 39.2736 | 0.6337 | 0.6234 | 102.0094 | 100.5120 |
70 | 53.9320 | 50.8894 | 0.5912 | 0.5910 | 114.2333 | 114.2545 |
65 | 8.1650 | 8.1667 | 0.5824 | 0.5684 | 129.8858 | 127.5013 |
60 | 7.8315 | 7.8165 | 0.5201 | 0.5472 | 142.1292 | 149.0320 |
Type | Shock Resistance | |
---|---|---|
BEI Systron Donner | QRS11 | 200 g, ½ sine pulse |
QRS28 | 300 g, 5 ms, ½ sine pulse | |
QRS2000 | 400 g, 2 ms, ½ sine pulse | |
QRS14 | 200 g, ½ sine pulse | |
SDG1400 | 200 g, 2 ms, ½ sine pulse | |
QRS116 | 1000 g, 2 ms, ½ sine pulse | |
Watson Industries | ADS–C132 | 500 g, 10 ms, ½ sine pulse |
ADS–C232 | ||
ARS–G152 | ||
Our Gyroscope | – | 1500 g, 2 ms, ½ sine pulse |
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Bai, B.; Li, C.; Zhao, Y. Development of V-Shaped Beam on the Shock Resistance and Driving Frequency of Micro Quartz Tuning Forks Resonant Gyroscope. Micromachines 2020, 11, 1012. https://doi.org/10.3390/mi11111012
Bai B, Li C, Zhao Y. Development of V-Shaped Beam on the Shock Resistance and Driving Frequency of Micro Quartz Tuning Forks Resonant Gyroscope. Micromachines. 2020; 11(11):1012. https://doi.org/10.3390/mi11111012
Chicago/Turabian StyleBai, Bing, Cun Li, and Yulong Zhao. 2020. "Development of V-Shaped Beam on the Shock Resistance and Driving Frequency of Micro Quartz Tuning Forks Resonant Gyroscope" Micromachines 11, no. 11: 1012. https://doi.org/10.3390/mi11111012