Project/Area Number |
11650249
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Dynamics/Control
|
Research Institution | Okayama University |
Principal Investigator |
KAGAWA Yukio Okayama University, Department of Electrical and Electronic Engineering, Professor, 工学部, 教授 (10019200)
|
Co-Investigator(Kenkyū-buntansha) |
WAKATSUKI Naoto Okayama University, Department of Electrical and Electronic Engineering, Assistant, 工学部, 助手 (40294433)
TSUCHIYA Takao Akita Prefectural University, Department of Electronics and Information Systems, Associate Professor, システム科学技術学部, 助教授 (20217334)
|
Project Period (FY) |
1999 – 2000
|
Project Status |
Completed (Fiscal Year 2000)
|
Budget Amount *help |
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 2000: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1999: ¥1,100,000 (Direct Cost: ¥1,100,000)
|
Keywords | Finite Element Method / Piezoelectric Gyroscope / Monolithic Configuration / Three-dimensional Analysis / Piezoelectric Sensor / 水晶 |
Research Abstract |
A numerical simulator for piezoelectric gyroscopes is developed using the finite element method. The finite element formulation is given for three-dimensional models including the effect of Coriolis force due to rotation around the arbitrary axis. Anisotropic elasticity is also included in the formulation. There is no limitation for the vibrational modes and the direction of the gyratory axis. For numerical examples, a tuning fork gyroscope and a L-shaped gyroscope made of X-cut quartz crystal are respectively demonstrated. The modes associated with the vibrator, in-plane and out-of-plane modes, are utilized for which the vibrator is excited and detected by pairs of the electrodes provided over the vibrator surfaces. In these gyroscopes the natural frequencies of the excitation mode (in-plane vibration) and that of the detection mode (out-of-plane vibration) are inhelently different, so it is made to artificially degenerate both modes by optimizing the shape of the vibrator. It is shown that the gyroscopes can be operated by using the degenerate mode consisting of two different modes. It is also shown that the gyroscopes has a sensitivity to the rotation around the arbitrary axis. It is possible to separately detect the rotational angular frequency around the z axis and x or y axes using these gyroscopes. It is shown in the above results that the developed three-dimensional simulator is useful to analyze or design of the piezoelectric gyroscopes.
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