Analysis of chaotic vibration in a hexagonal centrifugal governor system

Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

مقاله 1، دوره 1، شماره 1، آذر 2008، صفحه 1-12   

نوع مقاله: Persian

نویسندگان

Mostafa Ghayour^{* 1}؛ Saeed Zeiaei Rad²؛ Habib Ramezan Nezhad Ramezan Nezhad³

¹- Assistant Professor, Mechanical Engineering Faculty, Isfahan University of Technology

²Associate Professor, Mechanical Engineering Faculty, Isfahan University of Technology

³M.Sc., Mechanical Engineering Faculty, Isfahan University of Technology

چکیده

In this paper, the periodic, quasi periodic and chaotic responses of rotational machines with a hexagonal centrifugal governor are studied. The external disturbance is assumed as a sinusoid effect. By using the forth order Rung-Kutta numerical integration method, bifurcation diagram, largest Lyapunov exponent and Lyapunov dimension are calculated and presented to detect the critical controlling parameter. Having known the critical values, phase portrait, Poincare maps, time history and power spectrum are presented to observe periodic, quasi-periodic and chaotic behaviors of the system. Finally, the system damping is used as a parameter to control  chaos. It is shown that by increasing the system damping, the chaotic behavior of the system converts to a periodic motion.

کلیدواژه‌ها

Governor؛ Chaotic vibration؛ Lyapunov Exponent؛ Poincare's Mapping؛ Power Spectrum

مراجع

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