Statistical analysis of nature frequencies of hemispherical resonator gyroscope based on probability theory

Xudong Yu; Xingwu Long; Guo Wei; Geng Li; Tianliang Qu

doi:10.1117/12.2083768

24 April 2015 Statistical analysis of nature frequencies of hemispherical resonator gyroscope based on probability theory

Xudong Yu, Xingwu Long, Guo Wei, Geng Li, Tianliang Qu

Author Affiliations +

Proceedings Volume 9435, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2015; 94352U (2015) https://doi.org/10.1117/12.2083768
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2015, San Diego, California, United States

Abstract

A finite element model of the hemispherical resonator gyro (HRG) is established and the natural frequencies and vibration modes are investigated. The matrix perturbation technology in the random finite element method is first introduced to analyze the statistical characteristics of the natural frequencies of HRG. The influences of random material parameters and dimensional parameters on the natural frequencies are quantitatively described based on the probability theory. The statistics expressions of the random parameters are given and the influences of three key parameters on natural frequency are pointed out. These results are important for design and improvement of high accuracy HRG.

Citation Download Citation

Xudong Yu, Xingwu Long, Guo Wei, Geng Li, and Tianliang Qu "Statistical analysis of nature frequencies of hemispherical resonator gyroscope based on probability theory", Proc. SPIE 9435, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2015, 94352U (24 April 2015); https://doi.org/10.1117/12.2083768

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