Title: Dynamic analysis of a gyrocompass
Authors: Ge, ZM
Lue, YC
Ku, FN
交大名義發表
機械工程學系
National Chiao Tung University
Department of Mechanical Engineering
Keywords: gyrocompass;ballistic;stability;Liapunov's direct method;multiple scales method
Issue Date: 1-Sep-1996
Abstract: After giving the mathematical relation of the offset angle connection between the inner ring and the ballistic, and the mathematical model of the follow-up subsystem, the exact governing equations of gyrocompass with ballistic are given by Lagrange's equations. The explanation of the asymptotical stability about the system equilibrium by Arnold (1961) is shown to be wrong. Then use Liapunov theorem and Mukherjee-Chen theorem (1993) of direct method, Routh-Hurwitz criterion and multiple scales method are applied to study the stability about the equilibrium of the system in some cases.
URI: http://dx.doi.org/10.1143/JJAP.35.4864
http://hdl.handle.net/11536/1059
ISSN: 0021-4922
DOI: 10.1143/JJAP.35.4864
Journal: JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS BRIEF COMMUNICATIONS & REVIEW PAPERS
Volume: 35
Issue: 9A
Begin Page: 4864
End Page: 4872
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