Chaotic Dynamics of Propeller Singing

YU Dapeng;ZHAO Deyou

Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (12) : 47-52.

PDF(1405 KB)
PDF(1405 KB)
Journal of Vibration and Shock ›› 2009, Vol. 28 ›› Issue (12) : 47-52.
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Chaotic Dynamics of Propeller Singing

  • YU Dapeng;ZHAO Deyou
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Abstract

Propeller singing system time series has been examined by chaotic dynamics methods, in order to demonstrate chaos character for the first time. The topological dimension of the system has been estimated, the number of independent variable has been confirmed, and the character of attractor trajectory has been described in reconstructed phase space. The results indicated that the propeller singing can be reconstructed by the optional delay time and the minimal embedding dimension with a fractional correlation dimension and a positive maximum Lyapunov exponent , so it may be a new approach based on chaos to study the propeller singing phenomenon.

Key words

propeller singing / phase space reconstruction / correlation dimension / Kolmogorov entropy / maximal Lyapunov exponent

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YU Dapeng;ZHAO Deyou. Chaotic Dynamics of Propeller Singing[J]. Journal of Vibration and Shock, 2009, 28(12): 47-52
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