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Zhao Yucheng
School of Civil Engineering
and Mechanics,
Xi'an Jiaotong University,
Xi'an 710049, China
Sun Kun
School of Material Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Zhang Yahong
Xu Qingyu
School of Civil Engineering
and Mechanics,
Xi'an Jiaotong University,
Xi'an 710049, China |
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FRACTAL DIMENSION OF TIME SERIES
APPLIED TO IDENTIFICATION OF
CRITICAL SPEED OF JEFFCOTT
ROTOR SYSTEM*
Abstract: The dynamical behaviors of logistic map(May’s model) and duffing equation are studied through fractal dimension of time series at different parameters. It is shown that the parameters of dynamical behaviors can be identified effectively by the curve of fractal dimension with parameter increments. For further verification, the relation between the fractional dimension of time series and rotational speed can be used to identify critical speed effectively by using this method to a plate Jeffoctt rotor system. The numerical and experimental result indicates that the identification of critical parameters is effective.
Key words:
Fractal dimension Rotor system Critical speed |