標題: Bifurcations and chaotic motions in a rate gyro with a sinusoidal velocity about the spin axis
作者: Ge, ZM
Chen, HH
交大名義發表
機械工程學系
National Chiao Tung University
Department of Mechanical Engineering
公開日期: 20-二月-1997
摘要: An analysis is presented for a single-axis rate gyro mounted on a space vehicle undergoing sinusoidal motion and steady rotation about its spin and output axes. By varying the amplitude of sinusoidal motion, the periodic and chaotic responses of this parametrically excited non-linear system are investigated using the incremental harmonic balance (IHB) method and numerical integration. The multi-variable Floquet theory is applied to analyze the stability of periodic attractors and the behavior of bifurcations. Additionally, phase portraits, Poincare maps, average power spectra, bifurcation diagrams, parametric diagrams and Lyapunov exponents are presented to observe Hopf bifurcation, symmetry-breaking bifurcations, period-doubling bifurcations and chaotic motions. The cell mapping technique (MICM) is also used to study the basins of attraction of periodic attractors. (C) 1997 Academic Press Limited
URI: http://hdl.handle.net/11536/720
ISSN: 0022-460X
期刊: JOURNAL OF SOUND AND VIBRATION
Volume: 200
Issue: 2
起始頁: 121
結束頁: 137
顯示於類別:期刊論文


文件中的檔案:

  1. A1997WK29000001.pdf