Parametric identification technique for a periodic time-varying rotor system

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (5) : 21-27.

WANG Zhi1,2，WANG Jianjun1，LIU Yu1

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Abstract

For a periodic time-varying rotor system, parametric identification method based on the square wave pulse function was proposed. Firstly, the state-space matrix equation of the system was expanded with the square wave pulse function. Then recursion formulas for parametric identification of the system were derived adopting decorrelation and orthogonality of the square wave pulse function according to the matrix partition and spectral decomposition theory. Structural parametric identifications for a 2-DOF stiffness periodic time-varying system simulation model and an actual asymmetric rotor system were conducted with the proposed method. The results showed that their stiffness values are recognized correctly under appropriate calculation steps with the mean absolute percentage error of less than 0.5% and 1%, respectively; the correctness and effectiveness of the proposed method are verified, so it is valuable for engineering application.

Key words

periodic time-varying system / parameter identification / block-pulse function / asymmetric rotor

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WANG Zhi1,2，WANG Jianjun1，LIU Yu1 . Parametric identification technique for a periodic time-varying rotor system[J]. Journal of Vibration and Shock, 2019, 38(5): 21-27

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