Modal parameter identification of time-varying structures using a forward-backward time series model based on joint estimation

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (3) : 129-135.

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Modal parameter identification of time-varying structures using a forward-backward time series model based on joint estimation

YANG Wu, LIU Li, ZHOU Si-da, MA Zhi-sai

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Abstract

To improve modal parameter identification precision and anti-noise performance, this paper presents an identification approach using a forward-backward functional series vector time-dependent ARMA time series model (FS-VTARMA) based on joint estimation. Firstly, a cost function in the form of mean square error for joint forward-backward estimation of FS-VTARMA model is established. Secondly, the estimated parameters are approximately complex conjugate between forward and backward model for non-stationary signal. Once more, the time-varying model coefficients are obtained using two stages least square (2SLS) method. Finally, modal parameters are extracted from a generalized eigenvalue problem, which is transformed from an eigenvalue equation of the time-varying model. The identification approach is validated by non-stationary vibration signals of a system with time-varying stiffness. The results indicate that the proposed method not only can overcome the shortages of one-step delay and initial prediction error in forward model estimated parameter, but also one-step lead and terminal prediction error in backward model estimated parameters, and has higher modal parameter identification precision and better anti-noise performance.

Key words

Time-varying Structures / Modal Parameter Identification / Forward-backward Time Series / Vector / Functional Series

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YANG Wu;LIU Li;ZHOU Si-da;MA Zhi-sai. Modal parameter identification of time-varying structures using a forward-backward time series model based on joint estimation[J]. Journal of Vibration and Shock, 2015, 34(3): 129-135