Eigenvalue analysis of a cantilever beam-rigid-body MEMS gyroscope

The eigenvalues of a new microbeam-rigid-body gyroscope are computed and studied to show the variation of frequencies versus the input spin rate. To this end, assuming the harmonic solution of the dynamic equation of motion the characteristic equation is obtained and solved for the natural frequenci...

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Bibliographic Details
Published in:arXiv.org 2014-08
Main Authors: Seyed Amir Mousavi Lajimi, Heppler, Glenn, Abdel-Rahman, Eihab
Format: Article
Language:English
Subjects:
Cantilever beams
Eigenvalues
Eigenvectors
Equations of motion
Microbeams
Resonant frequencies
Online Access:Get full text
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Summary:The eigenvalues of a new microbeam-rigid-body gyroscope are computed and studied to show the variation of frequencies versus the input spin rate. To this end, assuming the harmonic solution of the dynamic equation of motion the characteristic equation is obtained and solved for the natural frequencies of the system in the rotating frame. It is shown that the difference between the natural frequencies (eigenvalues) proportionally grows with the input angular displacement rate.
ISSN:2331-8422