A model updating method of nonlinear structural dynamic based on interval perturbation

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (24) : 275-281.

REN Mingze1, DENG Zhongmin1, GUO Zhaopu2

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Abstract

An interval approach for the model updating of nonlinear structural with uncertain parameters using the first-order perturbation analysis of the time-domain dynamic response was proposed. The perturbation method was used to decompose the uncertain structural parameters into parameter interval mean and interval radius, and they were respectively regarded as the parameters to be corrected for two-step deterministic model updating. The optimization function for interval model modification was established to modify the interval mean and radius on the basis. A two-story rigid frame structure and a nonlinear cantilever beam were taken as the objectives of simulation. A uniformly distributed sampling method was used to construct the parameter samples, and two nonlinear forms including cubic nonlinearity and piecewise nonlinearity were simulated. The simulation results showed that the convergence efficiency of the parameters and the accuracy of the updating were very high, and the updated time-domain response interval can reflect the interval characteristics of the test data. These results demonstrate that the perturbation method is an effective method for uncertain nonlinear structural model updating. .

Key words

Parameter variability / Interval perturbation / Nonlinear / Model updating

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REN Mingze1, DENG Zhongmin1, GUO Zhaopu2. A model updating method of nonlinear structural dynamic based on interval perturbation[J]. Journal of Vibration and Shock, 2021, 40(24): 275-281

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