Rapid purification of rotor system axis trajectory based on improved SVD algorithm

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (10) : 144-154.

SU Zina1，MA Jun1,2，WANG Xiaodong1,2，XIONG Xin1,2

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Abstract

An improved singular value decomposition (ISVD) algorithm is proposed to achieve rapid purification of rotor center trajectory. Firstly, a singular value difference ratio (SVDR) evaluation index is constructed to determine the number of matrix rows, and the structure of Hankel matrix is optimized. Secondly, the quantitative relationship between singular value and frequency is used to screen the effective components, and the effective components are reconstructed to obtain the characteristic signals. Then, the characteristic signals after denoising and purification are combined into the shaft center trajectory to achieve the purification of the shaft center trajectory. Finally, the proposed method is analyzed by simulation and experiment. The experimental results show that compared with the matrix structure determined by the maximum dimension method, the calculation time of the matrix structure determined by SVDR criterion is reduced by 90.18%. Its computational efficiency has been improved.

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singular value decomposition / singular value difference ratio / noise reduction and purification / axis trajectory

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SU Zina1，MA Jun1,2，WANG Xiaodong1,2，XIONG Xin1,2. Rapid purification of rotor system axis trajectory based on improved SVD algorithm[J]. Journal of Vibration and Shock, 2023, 42(10): 144-154

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