3D-MODELING OF QUARTZ GLASS SENSORY ELEMENTS OF HEMISPHERICAL RESONATOR GYRO AND PENDULUM ACCELEROMETER

Abstract

Subject of Research. The paper considers physical processes occurring in sensory elements of angular rate and apparent acceleration measuring devices, such as hemispherical resonator gyro and pendulum accelerometer. Inertial masses of the studied sensory elements are made of KU-1 quartz glass. Method. Actual engineering drawings of the sensory elements are converted into a specialized 3D environment to simulate the performance of devices under different input effects, that is impossible with real devices. Moreover, traditional mathematical modeling approach, that involves such software packages as Matlab, does not provide a complete picture. Main Results. Visual information on the nature of motion of inertial masses was obtained using the results of 3D modeling, making it possible to improve and correct the known mathematical models of devices for subsequent Matlab analysis with closed control loop, since the studied gyro and accelerometer are compensation type devices with positive and negative feedback, respectively. Resonant frequencies of the considered devices were calculated as well. Practical Relevance. Considering the accelerometer, the obtained information on resonant frequencies made it possible to calculate band pass filters in order to suppress reactions to disturbances at these frequencies in the device pass band, and for the hemispherical resonator gyro it provides the possibility to define more precisely the resonator working frequency of oscillations.

Keywords

• Subject of Research. The paper considers physical processes occurring in sensory elements of angular rate and apparent acceleration measuring devices
• such as hemispherical resonator gyro and pendulum accelerometer. Inertial masses of the studied sensory elements are made of KU-1 quartz glass. Method. Actual engineering drawings of the sensory elements are converted into a specialized 3D environment to simulate the performance of devices under different input effects
• that is impossible with real devices. Moreover
• traditional mathematical modeling approach
• that involves such software packages as Matlab
• does not provide a complete picture. Main Results. Visual information on the nature of motion of inertial masses was obtained using the results of 3D modeling
• making it possible to improve and correct the known mathematical models of devices for subsequent Matlab analysis with closed control loop
• since the studied gyro and accelerometer are compensation type devices with positive and negative feedback
• respectively. Resonant frequencies of the considered devices were calculated as well. Practical Relevance. Considering the accelerometer
• the obtained information on resonant frequencies made it possible to calculate band pass filters in order to suppress reactions to disturbances at these frequencies in the device pass band
• and for the hemispherical resonator gyro it provides the possibility to define more precisely the resonator working frequency of oscillations.