標題: Dynamic analysis of a gyrocompass
作者: Ge, ZM
Lue, YC
Ku, FN
機械工程學系
Department of Mechanical Engineering
關鍵字: gyrocompass;ballistic;stability;Liapunov's direct method;multiple scales method
公開日期: 1-Sep-1996
摘要: 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/11536/149323
ISSN: 0021-4922
DOI: 10.1143/JJAP.35.4864
期刊: JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS BRIEF COMMUNICATIONS & REVIEW PAPERS
Volume: 35
起始頁: 4864
結束頁: 4872
Appears in Collections:Articles