An operational modal analysis method fusing multi-condition power spectral density function

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (4) : 179-189.

ZENG Shuhong,KANG Jie,SUN Jiabao,LUO Jie

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Abstract

The frequency domain decomposition (FDD) method is a common method for structural operational modal analysis ( OMA ) under ambient excitation. However, the existing FDD methods have some shortcomings : (1) spurious modes caused by non-white excitation and harmonic excitation cannot be eliminated ; (2) It is impossible to distinguish between structurally closely-spaced modes and spurious modes generated by uncorrelated non-white excitations. It is found that the rank of power spectral density ( PSD ) matrix is the decisive factor for the performance of FDD method. On this basis, a new OMA method is proposed. This method combines the response PSD function matrix under different excitation conditions, and performs singular value decomposition on the response PSD matrix under a single excitation condition and the augmented response PSD matrix under multiple excitation conditions. By comparing the rank changes of the single-case PSD matrix and the augmented PSD matrix at the peak of the singular value, the structural modal parameters including the closely-spaced mode are identified, and the spurious mode generated by the non-white excitation is eliminated. The effectiveness of the proposed method is verified by a truss structure simulation example and the engineering data set of Guangzhou Tower.

Key words

Operational modal analysis / Non-white excitation / Closely-spaced modes / Power spectral density

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ZENG Shuhong,KANG Jie,SUN Jiabao,LUO Jie. An operational modal analysis method fusing multi-condition power spectral density function[J]. Journal of Vibration and Shock, 2024, 43(4): 179-189

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