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A PCA-Based Approach for Structural Dynamics Model Updating with Interval Uncertainty

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Abstract

Uncertainty widely exists in engineering structures, making it necessary to update the finite element (FE) modeling with uncertainty. An updating approach for the FE model of structural dynamics with interval uncertain parameters is proposed in this work. Firstly, the correlations between the updating parameters and the output qualities of interest are uncorrelated by the principal component analysis (PCA), and the massive samples of major principal components are obtained using the Monte Carlo simulation. Then, the massive samples of updating parameters and output qualities are obtained by reversing transformation in the PCA, and the new samples of updating parameters are re-chosen by combining the massive samples with the experimental intervals of the qualities of interest. Next, the 95% CI of the updating parameters is estimated by the nonparametric kernel density estimation approach, which are regarded as the intervals of updating parameters. Lastly, the proposed approach is validated in simple rectangular plates and the transport mirror system. The updating results evidently demonstrate the feasibility and reliability of the proposed approach.

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Acknowledgements

This work was supported by the Science Challenge Project (Grant No. TZ2018007), the National Key Research and Development Program of China (Grant No. 2016YFB0201005) and the National Natural Science Foundation of China (Grant No. 11472256).

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Authors and Affiliations

  1. Institute of Systems Engineering, China Academy of Engineering Physics(CAEP), Mianyang, 621999, China

    Xueqian Chen, Zhanpeng Shen & Xin’en Liu

  2. Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan Province, Mianyang, 621999, China

    Xueqian Chen, Zhanpeng Shen & Xin’en Liu

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  1. Xueqian Chen
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  2. Zhanpeng Shen
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  3. Xin’en Liu
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Correspondence to Xueqian Chen.

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Chen, X., Shen, Z. & Liu, X. A PCA-Based Approach for Structural Dynamics Model Updating with Interval Uncertainty. Acta Mech. Solida Sin. 32, 105–119 (2019). https://doi.org/10.1007/s10338-018-0064-0

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  • DOI: https://doi.org/10.1007/s10338-018-0064-0

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