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Improved eigensystem realization algorithm and its application on ocean platforms

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Abstract

Based on the matrix mapping theory, an improved eigensystem realization algorithm (ERA), called C/ERA, is proposed in this paper. It rebuilds a Hankel matrix by replacing all elements of each anti-subdiagonal with the arithmetic average of the elements along the anti-subdiagonal, and introduces the concept of using the Frobenius norm (L2-norm) to control the iterations number after implementing the SVD algorithm by the ERA method. With the data associated with a 5-DOF mass-spring-dashpot system and jacket-type platform under impact loading, it is demonstrated that C/ERA has a better capacity of de-noising, and a higher accuracy for low-order modes, and can identify more high-order modes than the ERA method.

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Acknowledgements

The study has been supported by Natural Science Foundation of China (Grant No. 51609120), Science and Technology Plan for Shandong University(Grant No. J16LB7) and Qingdao Urban and Rural Construction Committee (Grant No. JK2015-15).

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Authors and Affiliations

  1. Qingdao University of Science and Technology, Qingdao, 266061, China

    Junfeng Xin & Li Shixin

  2. Ocean University of China, Qingdao, 266100, China

    Wang Lei

  3. Qingdao National Oceanographic Center, Qingdao, 266071, China

    Zhang Yongbo

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  1. Junfeng Xin
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  2. Wang Lei
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  3. Li Shixin
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  4. Zhang Yongbo
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Correspondence to Junfeng Xin.

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Xin, J., Lei, W., Shixin, L. et al. Improved eigensystem realization algorithm and its application on ocean platforms. Cluster Comput 22 (Suppl 2), 3643–3650 (2019). https://doi.org/10.1007/s10586-018-2213-0

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  • DOI: https://doi.org/10.1007/s10586-018-2213-0

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