Bayesian modal identification and uncertainty analysis method based on free vibration signals

By using a Bayesian modal identification method based on free vibration signals, and by utilizing Bayesian Fourier transform and finite-time Fourier transform, the problem of modal parameter identification and uncertainty analysis under free vibration conditions is solved, and effective modal parameter identification and uncertainty quantification under non-stationary white noise excitation are realized.

CN117312822BActive Publication Date: 2025-10-24HARBIN INSTITUTE OF TECHNOLOGY (SHENZHEN) (INSTITUTE OF SCIENCE AND TECHNOLOGY INNOVATION HARBIN INSTITUTE OF TECHNOLOGY SHENZHEN)
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Patent Information

Application Number
CN202311073518.3
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-08-24
Publication Date
2025-10-24
Estimated Expiration
2043-08-24

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Abstract

The application provides a Bayesian modal identification and uncertainty analysis method based on a free vibration signal. Based on a Bayesian Fourier transform principle, a finite time Fourier transform is introduced. Based on the modal parameters to be identified, a modal parameter set is further decomposed and a most probable value of the modal parameter to be identified is obtained by using a negative log-likelihood function. Based on the most probable value of the modal parameter, a derivative of the negative log-likelihood function with respect to the modal parameter is calculated to obtain an eigenvalue and an eigenvector, and a posterior covariance matrix is obtained, so that a variance of the most probable value of the modal parameter and a coefficient of variation of any most probable value of the modal parameter are finally determined. The method provided by the application can be used for Bayesian modal identification under free vibration and the like and practical engineering application.
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