Dynamic Stability of Beam-type Vibratory Angular Rate Sensors Subjected to Rate Fluctuations

Dynamic stability behavior of a beam-type vibratory structure, for applications in a class of vibratory angular rate sensors is investigated. A suitable mathematical model for a rotating beam perturbed by periodic velocity fluctuations is developed. The natural frequency variations due to the gyrosc...

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Bibliographic Details
Published in:Journal of intelligent material systems and structures 2008-06, Vol.19 (6), p.735-743
Main Authors: Asokanthan, Samuel F., Cho, Jihyun
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
General equipment and techniques
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Measurement and testing methods
Physics
Servo and control equipment
robots
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:Dynamic stability behavior of a beam-type vibratory structure, for applications in a class of vibratory angular rate sensors is investigated. A suitable mathematical model for a rotating beam perturbed by periodic velocity fluctuations is developed. The natural frequency variations due to the gyroscopic coupling present in the system are characterized. When the system is considered to be under an influence of periodic perturbations in the input angular speed, the dynamic stability is investigated. The method of averaging is employed for this purpose, and closed-form stability conditions are obtained. The analytical results are verified by direct numerical integration of the system equations.
ISSN:1045-389X
1530-8138
DOI:10.1177/1045389X07080631