STUDY ON RELATION BETWEEN NOISE AND MATRIX DIMENSION OF DATA-DRIVEN STOCHASTIC SUBSPACE IDENTIFICATION METHTOD

Junfeng Xin;Jinlu Sheng;Yongbo Zhang

Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (16) : 152-157.

PDF(2129 KB)
PDF(2129 KB)
Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (16) : 152-157.
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STUDY ON RELATION BETWEEN NOISE AND MATRIX DIMENSION OF DATA-DRIVEN STOCHASTIC SUBSPACE IDENTIFICATION METHTOD

  • Junfeng Xin1, Jinlu Sheng2 , Yongbo Zhang3
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Abstract

As a linear system identification method, the data-driven stochastic subspace method can effectively obtain modal parameters from the signal associated with structure under ambient excitation. Noise reduction ability of data-driven stochastic subspace identification method is related with its Hankel matrix dimension. We introduce theoretically the relation between noise and Hankel matrix of data-driven subspace identification method. And we also propose a verification procedure to justify the noise can be eliminated properly by data-driven subspace identification method with selected Hankel matrix, the procedure includes SVD, stability diagram and finite element result(FE). Finally based on data associated with numerical study and jacket platform vibration test separately, we demonstrate systematically that data-driven stochastic subspace identification method with non-square Hankel matrix has better capacity of denoising and estimating the modal with higher accuracy.

Key words

Hankel matrix / Denoise / Data-driven subspace identification method

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Junfeng Xin;Jinlu Sheng;Yongbo Zhang. STUDY ON RELATION BETWEEN NOISE AND MATRIX DIMENSION OF DATA-DRIVEN STOCHASTIC SUBSPACE IDENTIFICATION METHTOD[J]. Journal of Vibration and Shock, 2013, 32(16): 152-157
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