Abstract
As an effective non-destructive testing method, guided waves have been widely used in assessing the condition of various structures, such as pipelines, rails, plates, etc. In this paper, the characteristic equations of steel strands are obtained by the updated semi-analytic finite element method, on the basis of spatial arrangement law of spiral period structure. From the characteristic equations, the frequency disperses behavior for guided waves propagating in the steel wire waveguide is investigated, and the disperse curves for the group velocity are obtained. Then, from the characteristic equation, the axial stress level of the strand steel wires, can be estimated from the dispersion properties available such as group velocity. Finally, a numerical example for a 7-wire steel strand is adopted to demonstrate the accuracy of the proposed method. From the obtained results, the proposed method can accurately estimate the axial prestress level of the stranded streel wires by using the guided wave group velocity available.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chen, H.P., Zhou, H., Ye, L.: Dispersive modal characteristics of guided waves propagating in damaged rails. J. Aerospace Eng. (2023)
Gazis, D.C.: Three-dimensional investigation of the propagation of waves in hollow circular cylinders. I. Analytical foundation. J. Acoust. Soc. Am. 31, 568–573 (1959)
Kwun, H., Bartels, K.A., Hanley, J.J.: Effects of tensile loading on the properties of elastic-wave propagation in a strand. J. Acoust. Soc. Am. 103(6), 3370–3375 (1998)
Hayashi, T.: Guided wave dispersion curves derived with a semianalytical finite element method and its applications to nondestructive inspection. Jpn. J. Appl. Phys. 47, 3865 (2008)
Li, W., Dwight, R.A., Zhang, T.: On the study of vibration of a supported railway rail using the semi-analytical finite element method. J. Sound Vibr. 345, 121–145 (2015)
Loveday, P.W.: Semi-analytical finite element analysis of elastic waveguides subjected to axial loads. Ultrasonics 49(3), 298–300 (2009)
Sun, K., Chen, H.P., Feng, Q., Lei, X.: Propagation characteristics of ultrasonic guided waves in tram rails. Struct. Eng. Mech. Int. J. 75(4), 435–444 (2020)
Bartoli, I., Salamone, S., Phillips, R., Lanza di Scalea, F., Sikorsky, C.S.: Use of interwire ultrasonic leakage to quantify loss of prestress in multiwire tendons. J. Eng. Mech. 137(5), 324–333 (2011)
Frikha, A., Cartraud, P., Treyssede, F.: Mechanical modeling of helical structures accounting for translational invariance. Part 1: Static behavior. Int. J. Solids Struct. 50(9), 1373–1382 (2013)
Liu, X., Wu, B., Qin, F., He, C., Han, Q.: Observation of ultrasonic guided wave propagation behaviours in pre-stressed multi-wire structures. Ultrasonics 73, 196–205 (2017)
Nucera, C., Scalea, F.L.D.: Monitoring load levels in multi-wire strands by nonlinear ultrasonic waves. Struct. Health Monit. 10(6), 617–629 (2011)
Chaki, S., Bourse, G.: Guided ultrasonic waves for non-destructive monitoring of the stress levels in prestressed steel strands. Ultrasonics 49(2), 162–171 (2009)
Dubuc, B., Ebrahimkhanlou, A., Salamone, S.: Higher order longitudinal guided wave modes in axially stressed seven-wire strands. Ultrasonics 84, 382–391 (2018)
Cong, M., Wu, X., Liu, R.: Dispersion analysis of guided waves in the finned tube using the semi-analytical finite element method. J. Sound Vibr. 401, 114–126 (2017)
Bartoli, I., Marzani, A., di Scalea, F.L., Rizzo, P., Viola, E., Sorrivi, E., Phillips, R.: SAFE modeling of waves for the structural health monitoring of prestressing tendons. Health Monit. Struct. Biol. Syst. 6532, 120–131 (2007)
Chen, H.P.: Nonlinear perturbation theory for structural dynamic systems. AIAA J. 43(11), 2412–2421 (2005)
Acknowledgements
The authors are very grateful for the financial supports received from the National Key Research and Development Program of China (Grant No. 2021YFE0105600), the National Natural Science Foundation of China (Grant No. 51978263), the Key Project for Scientific and Technological Cooperation Scheme of Jiangxi Province (Grant Nos. 20212BDH80022 and 20223BBH80002), and the Jiangxi Postgraduate Innovation Funding Program (YC2022-s500).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Li, H., Chen, HP. (2024). Assessing Strand Steel Wire Prestress Level Using Guided Wave Dispersion Properties. In: Ball, A.D., Ouyang, H., Sinha, J.K., Wang, Z. (eds) Proceedings of the UNIfied Conference of DAMAS, IncoME and TEPEN Conferences (UNIfied 2023). TEPEN IncoME-V DAMAS 2023 2023 2023. Mechanisms and Machine Science, vol 152. Springer, Cham. https://doi.org/10.1007/978-3-031-49421-5_73
Download citation
DOI: https://doi.org/10.1007/978-3-031-49421-5_73
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-49420-8
Online ISBN: 978-3-031-49421-5
eBook Packages: EngineeringEngineering (R0)