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Comparative Study on Frequency-Based Cable Parameter Identification Algorithms

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Advances in Computational Mechanics and Applications (OES 2023)

Part of the book series: Structural Integrity ((STIN,volume 29))

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Abstract

Frequency-based algorithms are prevalently used to estimate bridge cable tensions. However, for the non-negligible bending stiffness, the eigenproblem involves a cumbersome procedure of solving transcendental equations, which aroused various treatment skills for simplification or optimization, yielding diverse identification algorithms with different effectiveness, efficiency, and applicability that bring difficulties and confusion in making an appropriate choice for users. Therefore, it is necessary to systematically illustrate these algorithms’ intrinsic relations, differences, and application characteristics. A comprehensive comparative study on five representative algorithms, including analytical and empirical formulas and optimal algorithms, is carried out in this paper by parallelly identifying cable parameters on 24 real-life bridge cables worldwide available in the literature. Results show that: (i) Algorithms of empirical formulas are always based on the modified chord theory or tensioned-simply-supported beam model, resulting in the solution of two simultaneous equations by providing two measured frequencies in case of unknown bending stiffness. (ii) Proper identification procedure is significant in applicating an algorithm. (iii) The FROCPI algorithm is the simplest method with good consistency and broad applicability for long and short cables.

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References

  1. Amezquita-Sanchez, J.P., Valtierra-Rodriguez, M., Adeli, H.: Wireless smart sensors for monitoring the health condition of civil infrastructure. Scientia Iranica. (2018).

    Google Scholar 

  2. Amezquita-Sanchez, J.P., Adeli, H.: Nonlinear measurements for feature extraction in structural health monitoring. Scientia Iranica. 26, 3051–3059 (2019).

    Google Scholar 

  3. Zhijun Li, Hyo Seon Park, Hojjat Adeli: New method for modal identification of super high-rise building structures using discretized synchrosqueezed wavelet and Hilbert transforms. The Structural Design of Tall and Special Buildings. 26, e1312 (2017).

    Google Scholar 

  4. Yongding Tian, Cheng Zhang, Shang Jiang, Jian Zhang, Wenhui Duan: Noncontact cable force estimation with unmanned aerial vehicle and computer vision. Computer-Aided Civil and Infrastructure Engineering. 2020, 1–16 (2020).

    Google Scholar 

  5. Wenju Zhao, Guangwei Zhang, Jian Zhang: Cable force estimation of a long‐span cable‐stayed bridge with microwave interferometric radar. Computer-Aided Civil and Infrastructure Engineering. 35, 1419–1433 (2020).

    Google Scholar 

  6. Sébastien Lalonde, Raynald Guilbault, Frédéric Légeron: Modeling multilayered wire strands, a strategy based on 3D finite element beam-to-beam contacts - Part I: Model formulation and validation. International Journal of Mechanical Sciences. 126, 281–296 (2017).

    Google Scholar 

  7. Hiroshi Zui, Tohru Shinke, Yoshio Namita: Practical formulas for estimation of cable tension by vibration method. Journal of Structural Engineering. 122, 651–656 (1996).

    Google Scholar 

  8. Armin B. Mehrabi, Habib Tabatabai: Unified finite difference formulation for free vibration of cables. Journal of Structural Engineering. 124, 1313–1322 (1998).

    Google Scholar 

  9. Wei-Xin Ren, Gang Chen, Wei-Hua Hu: Empirical formulas to estimate cable tension by cable fundamental frequency. Structural Engineering and Mechanics. 20, 363–380 (2005).

    Google Scholar 

  10. Zhi Fang, Jian-qun Wang: Practical Formula for Cable Tension Estimation by Vibration Method. Journal of Bridge Engineering. 17, 161–164 (2012).

    Google Scholar 

  11. Marcelo A. Ceballos, Carlos A. Prato: Determination of the axial force on stay cables accounting for their bending stiffness and rotational end restraints by free vibration tests. Journal of Sound and Vibration. 317, 127–141 (2008).

    Google Scholar 

  12. Yong-Hui Huang, Ji-Yang Fu, Rong-Hui Wang, Quan Gan, Ai-Rong Liu: Unified Practical Formulas for Vibration-Based Method of Cable Tension Estimation. Advances in Structural Engineering. 18, 405–422 (2015).

    Google Scholar 

  13. Chih-Peng Yu: Tension prediction for straight cables based on effective vibration length with a two-frequency approach. Engineering Structures. 222, 111121 (2020).

    Google Scholar 

  14. Sun, C., Zheng, G., Zhang, X., Cai, W., Gao, W., Chen, P., Zhou, X.: A decoupled algorithm for cable parameter identification by frequency-ratio-offset. Computer-Aided Civil and Infrastructure Engineering.12980 (2023).

    Google Scholar 

  15. Soojin Cho, Jinsuk Yim, Sung Woo Shin, Hyung-Jo Jung, Chung-Bang Yun, Ming L. Wang: Comparative Field Study of Cable Tension Measurement for a Cable-Stayed Bridge. Journal of Bridge Engineering. 18, 748–757 (2013).

    Google Scholar 

  16. Xu, B., Dan, D., Yu, X.: Real-time online intelligent perception of time-varying cable force based on vibration monitoring. Engineering Structures. 270, 114925 (2022).

    Google Scholar 

  17. Li, X.: Practical identification algorithm for bending stiffness in cable tension measurements of stay-cables. China Railway Survey and Design. 1, 61–64 (2011) (In Chinese).

    Google Scholar 

  18. Su, C., Xu, Y., Han, D.: Parameter analysis and identification of bending stiffness of cables during tension measurements by frequency method. Journal of Highway and Transportation Research and Development. 22(3), 75–78 (2005) (In Chinese).

    Google Scholar 

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Correspondence to Gang Zheng .

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Sun, C., Zheng, G., Yu, J., Chen, P., Zeng, C. (2024). Comparative Study on Frequency-Based Cable Parameter Identification Algorithms. In: Pavlou, D., et al. Advances in Computational Mechanics and Applications. OES 2023. Structural Integrity, vol 29. Springer, Cham. https://doi.org/10.1007/978-3-031-49791-9_24

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  • DOI: https://doi.org/10.1007/978-3-031-49791-9_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-49790-2

  • Online ISBN: 978-3-031-49791-9

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