A reduced hysteretic model of stockbridge dampers

A reduced hysteretic model of stockbridge dampers

Francesco Bogani, Alex Sosio, Francesco Foti, Luca Martinelli

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Abstract. This paper presents a reduced model to describe the nonlinear dynamic behavior of Stockbridge dampers. The proposed model is based on the classic Bouc-Wen hysteretic law and requires the identification of a small number of model parameters. The proposed formulation is used within an extended version of the classic Energy Balance Method to assess the role of the damper nonlinearities in mitigating aeolian vibrations of a reference overhead transmission line.

Dampers, Cable Dynamics, Vortex-Induced-Vibrations

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: Francesco Bogani, Alex Sosio, Francesco Foti, Luca Martinelli, A reduced hysteretic model of stockbridge dampers, Materials Research Proceedings, Vol. 26, pp 417-422, 2023

DOI: https://doi.org/10.21741/9781644902431-68

The article was published as article 68 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.

[1] EPRI Electric Research Power Institute, Transmission Line Reference Book: Wind-Induced Conductor Motion, 2006.
[2] I. Pivovarov, O.G. Vinogradov, One application of Bouc’s model for non-linear hysteresis, Journal of Sound and Vibration, vol. 118, no. 2, pp. 209–216, 1987. https://doi.org/10.1016/0022-460X(87)90521-9
[3] F. Foti, L. Martinelli, Hysteretic Behaviour of Stockbridge Dampers: Modelling and Parameter Identification, Mathematical Problems in Engineering, 2018, article id: 8925121. https://doi.org/10.1155/2018/8925121
[4] S. Langlois, F. Legeron, Prediction of aeolian vibration on transmission-line conductors using a nonlinear time history model – Part I: Damper model, IEEE Transactions on Power Delivery, vol. 29, no. 3, pp. 1168–1175, 2014. https://doi.org/10.1109/TPWRD.2013.2291361
[5] N. Barbieri, R. Barbieri, R. A. da Silva, M. J. Mannala, and L. D. S. V. Barbieri, Nonlinear dynamic analysis of wire-rope isolator and Stockbridge damper, Nonlinear Dynamics, vol. 86, no. 1, pp. 501–512, 2016. https://doi.org/10.1007/s11071-016-2903-1
[6] X. Luo, L. Wang, and Y. Zhang, Nonlinear numerical model with contact for Stockbridge vibration damper and experimental validation, Journal of Vibration and Control, vol. 22, no. 5, pp. 1217–1227, 2014. https://doi.org/10.1177/1077546314535647
[7] F. Foti, V. Denoël, L. Martinelli, F. Perotti, A stochastic and continuous model of aeolian vibrations of conductors equipped with stockbridge dampers, Proceedings of the International Conference on Structural Dynamic , EURODYN, 2020, 1, pp. 2088–2102. https://doi.org/10.47964/1120.9169.20304
[8] R. Bouc, “Modèle mathèmatique d’hystérésis” Acustica, vol. 21, pp. 16–25, 1971.
[9] F. Ikhouane, J. Rodellar, and J. E. Hurtado, “Analytical characterization of hysteresis loops described by the Bouc-Wen model”, Mechanics of Advanced Materials and Structures, vol. 13, no. 6, pp. 463–472, 2006. https://doi.org/10.1080/15376490600862830
[10] F. Bogani and A. Sosio, Modellazione di dissipatori Stockbridge per la mitigazione delle vibrazioni eolica dei cavi sospesi, Politecnico di Milano (MSc. Thesis), Milano, Italy, 2021.
[11] G. Diana et al., “Modelling of aeolian vibrations of a single conductor plus damper: assessment of technology”, Electra, vol. 223, pp. 28–36, 2005.
[12] M.L. Lu, The effect of turbulence on the wind power imparted to a vibrating conductor, (2003) 11th Conf. Wind Engineering, Lubbock, Texas (U.S.), June 2-5.
[13] F. Foti, L. Martinelli, An enhanced unified model for the self-damping of stranded cables under aeolian vibrations, Journal of Wind Engineering and Industrial Aerodynamics, 2018, 182, pp. 72–86. https://doi.org/10.1016/j.jweia.2018.09.005
[14] C. Gazzola, F. Foti, L. Martinelli, F. Perotti, An appraisal of modelling strategies for assessing aeolian vibrations of transmission lines, Lecture Notes in Mechanical Engineering, 2020, pp. 1522–1534. https://doi.org/10.1007/978-3-030-41057-5_123
[15] D. Sauter, Modeling the dynamic characteristics of slack wire cables in Stockbridge dampers, Technische Universitat Darmstadt (Dissertation), Darmstadt, Germany, 2003.