Structural dynamic and static parameter uncertainty quantitative analysis system only utilizing output response
A technology with parameter uncertainty and uncertainty, which is applied in the field of structural health monitoring to achieve the effects of strong anti-noise ability, less time required for testing, and low cost
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[0086] In the following, a simply supported beam numerical simulation case is used to illustrate the specific implementation steps of the proposed quantitative analysis system for structural dynamic and static parameter uncertainty using only the output response.
[0087]Step 1: Perform FFT transformation on the vibration acceleration data collected by the sensor unit to obtain the real part and imaginary part after FFT transformation, namely {F k ,G k}, construct the likelihood function p({Z k}|θ), where Z k =[F k T G k T ] T , the modal parameters θ include the modal frequency f, the damping ratio ξ, the mode shape Φ, the cross-spectral density S in the spectral density matrix under modal excitation, and the spectral density σ of the prediction error 2 ;The logarithmic likelihood function is numerically optimized to obtain the MPV value of {f,ξ}, and the Hessian matrix is obtained by the second-order derivative of the logarithmic likelihood function; the covariance...
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