Development of Piezoelectric Gyroscopes of Monolithic Configuration for Detection of Three-dimensional Rotation

1997 Fiscal Year Final Research Report Summary

• Project/Area Number: 08650293
• 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 Professor, 工学部, 教授 (10019200)
• Co-Investigator(Kenkyū-buntansha): WAKATSUKI Naoto Okayama University, Department of Environmental and Civil Engineering, Assistant, 工学部, 助手 (40294433) ; TSUCHIYA Takao Okayama University, Department of Electrical and Electronic Engineering, Associa, 工学部, 助教授 (20217334)
• Project Period (FY): 1996 – 1997
• Keywords: Finite Element Method / Piezoelectric Gyroscope / Monolithic Configuration / Three-dimensional Analysis / Piezoelectric Sensor

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. For a numerical example, the gyroscope of a thin square plate is first considered to evaluate the accuracy and the validity of the developed simulator. It is confirmed that the numerical results by the three-dimensional analysis show good agreement with the results by the two-dimensional analysis which is previously reported. The realistic analysis can be carried out by the three-dimensional analysis. For another example, the gyroscope of a thin square plate vibrating in flexural mode is next demonstrated. The flexural mode 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 the gyroscope in flexural mode. The experiments are finally carried out for the prototype gyroscope of a thin square plate. It is confirmed that the numerical results show good agreement with the experimental results. It is shown in the above results that the developed three-dimensional simulator is useful to analyze or design of the piezoelectric gyroscopes.