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Theoretical and Experimental Nonlinear Vibrations of Sagged Elastic Cables

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Nonlinear Dynamic Phenomena in Mechanics

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 181))

Abstract

The chapter presents a comprehensive overview of recent advancements in the theoretical and experimental research on modelling, analysis, response, and nonlinear/nonregular phenomena in the finite amplitude, resonant, forced dynamics of sagged, horizontal or inclined, elastic cables. Asymptotic solutions and a rich variety of features of nonlinear multimodal interaction occurring in various resonance conditions are comparatively discussed. Dynamical and mechanical characteristics of some main experimentally observed responses are summarised, along with the relevant robustness, spatio-temporal features, and dimensionality. Challenging issues arising in the characterisation of involved bifurcation scenarios to complex dynamics are addressed, and hints for proper reduced-order modelling in cable nonlinear dynamics are obtained from both asymptotic solutions and experimental investigations, in the perspective of a profitable cross-validation of the observed nonlinear phenomena.

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Authors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Via Antonio Gramsci 53, 00197, Roma, Italy

    Giuseppe Rega

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  1. Giuseppe Rega
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Editors and Affiliations

  1. Lublin University of Technology, Nadbystrzycka 36, 20-618, Lublin, Poland

    Jerzy Warminski

  2. Department of Architecture, Buildings and Structures, Polytechnic University of Marche, Via Brecce Bianche, 60131, Ancona, Italy

    Stefano Lenci

  3. School of Engineering, University of Glasgow, James Watt South Building, G12 8QQ, Glasgow, United Kingdom

    Matthew P. Cartmell

  4. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Via Antonio Gramsci 53, 00197, Roma, Italy

    Giuseppe Rega

  5. School of Engineering, Centre for Applied Dynamics Research (CADR) King’s College Research (CADR), University of Aberdeen, AB24 3UE, Aberdeen, United Kingdom

    Marian Wiercigroch

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Rega, G. (2012). Theoretical and Experimental Nonlinear Vibrations of Sagged Elastic Cables. In: Warminski, J., Lenci, S., Cartmell, M.P., Rega, G., Wiercigroch, M. (eds) Nonlinear Dynamic Phenomena in Mechanics. Solid Mechanics and Its Applications, vol 181. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2473-0_4

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  • DOI: https://doi.org/10.1007/978-94-007-2473-0_4

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