Static and dynamic response analysis of stay cables using terrestrial laser scanning and vibration measurements

Static and dynamic response analysis of stay cables using terrestrial laser scanning and vibration measurements

Cecilia Rinaldi, Marco Lepidi, Vincenzo Gattulli

download PDF

Abstract. Nowadays, high accuracy measurements provided by terrestrial laser scanner and vision sensors allow to collect useful and exhaustive information about the conditions of the existing structures, useful to detect defects and geometry anomalies and to better understand their mechanical behavior. These avant-garde technologies were found to be particularly effective for the structural health assessment of the cable-stayed pedestrian bridge described in this paper. Considering a continuous mono-dimensional model of an inclined perfectly flexible cable, the axial tension is locally tangent to the cable profile. Thus, determining the cable static response under self-weight consists of a geometric shape-finding problem. Through terrestrial laser scanning, a 3D point cloud model of the bridge was acquired, including a data-abundant description of the actual static configuration of the stays. Therefore, cable configuration was no longer an unknown of the static problem, which can be inverted to assess the static tension. Furthermore, modal analysis was conducted also through image-based vibrations measurements to identify the fundamental frequencies of the cables. The independent identification of the axial forces from static (geometric) and dynamic (spectral) data provided results in good agreement.

Keywords
Inclined Suspended Cables, Modal Analysis, Point Cloud Model, Vision-Based Measurement, Cable Tension Estimation

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Cecilia Rinaldi, Marco Lepidi, Vincenzo Gattulli, Static and dynamic response analysis of stay cables using terrestrial laser scanning and vibration measurements, Materials Research Proceedings, Vol. 26, pp 485-490, 2023

DOI: https://doi.org/10.21741/9781644902431-79

The article was published as article 79 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] A.B. Mehrabi, “In-service evaluation of cable-stayed bridges, overview of available methods and findings” Journal of Bridge Engineering 11(6), pp. 716–724, 2006. https://doi.org/10.1061/(ASCE)1084-0702(2006)11:6(716)
[2] L. Zhang, G. Qiu, Z. Chen, “Structural health monitoring methods of cables in cable-stayed bridge: A review” Measurement 168, id.108343, 2021. https://doi.org/10.1016/j.measurement.2020.108343
[3] M. Lepidi, V. Gattulli, F, Vestroni, F. “Damage identification in elastic suspended cables through frequency measurement” Journal of Vibration and Control 15(6), pp.867-896, 2009. https://doi.org/10.1177/1077546308096107
[4] S. Jeong, H. Kim, J. Lee, S.-H. Sim, “Automated wireless monitoring system for cable tension forces using deep learning” Structural Health Monitoring 20(4), pp. 1805-1821, 2021. https://doi.org/10.1177/1475921720935837
[5] S.-W. Kim, J.-H. Cheung, J.-B. Park, S.-O. Na, “Image-based back analysis for tension estimation of suspension bridge hanger cables” Structural Control and Health Monitoring 27(4), id.e2508, 2020. https://doi.org/10.1002/stc.2508
[6] V. Gattulli, M. Lepidi, F. Potenza, U. Di Sabatino, “Modal interactions in the nonlinear dynamics of a beam-cable-beam” Nonlinear dynamics 96(4), pp.2547-2566, 2019. https://doi.org/10.1007/s11071-019-04940-8
[7] V. Gattulli, M. Lepidi, F. Potenza, U. Di Sabatino, “Dynamics of masonry walls connected by a vibrating cable in a historic structure” Meccanica 51(11), pp. 2813-2826, 2016. https://doi.org/10.1007/s11012-016-0509-9
[8] C. Gentile, “Deflection measurement on vibrating stay cables by non-contact microwave inter-ferometer” Ndt & E International 43(3), pp. 231-240, 2010. https://doi.org/10.1016/j.ndteint.2009.11.007
[9] C. Gentile A. Cabboi, “Vibration-based structural health monitoring of stay cables by microwave remote sensing” Smart Structures and Systems 16(2), pp. 263-280, 2015. https://doi.org/10.12989/sss.2015.16.2.263
[10] S. Wangchuk, D.M. Siringoringo, Y. Fujino, “Modal analysis and tension estimation of stay cables using noncontact vision-based motion magnification method” Structural Control and Health Monitoring 29(7), id. e2957, 2022. https://doi.org/10.1002/stc.2957
[11] H. M. Irvine, Cable Structures. The MIT Press, 1981.
[12] M. Lepidi V. Gattulli, “Static and dynamic response of elastic suspended cables with thermal effects” International Journal of Solids and Structures 49(9), pp. 1103-1116, 2012. https://doi.org/10.1016/j.ijsolstr.2012.01.008