標題: Non-linear dynamics and control of chaos for a tachometer
作者: Ge, ZM
Shiue, JS
機械工程學系
Department of Mechanical Engineering
公開日期: 13-六月-2002
摘要: The dynamic behaviors of a rotational tachometer with vibrating support are studied in the paper. Both analytical and computational results are used to obtain the characteristics of the system, The Lyapunov direct method is applied to obtain the conditions of stability of the equilibrium position of the system. The center manifold theorem determines the conditions of stability for the system in a critical case. By applying various numerical analyses such as phase plane, Poincare map and power spectrum analysis, a variety of periodic solutions and phenomena of the chaotic motion are observed. The effects of the changes of parameters in the system can be found in the bifurcation diagrams and parametric diagrams. By using Lyapunov exponents and Lyapunov dimensions, the periodic and chaotic behaviors are verified. Finally, various methods, such as the addition of a constant torque, the addition of a periodic torque, delayed feedback control, adaptive control, Bang-Bang control, optimal control and the addition of a periodic impulse are used to control chaos effectively. (C) 2002 Elsevier Science Ltd. All rights reserved.
URI: http://dx.doi.org/10.1006/jsvi.2001.3774
http://hdl.handle.net/11536/28722
ISSN: 0022-460X
DOI: 10.1006/jsvi.2001.3774
期刊: JOURNAL OF SOUND AND VIBRATION
Volume: 253
Issue: 4
起始頁: 773
結束頁: 793
顯示於類別:期刊論文


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