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Dynamic modeling of cables with external forces applied to the terminal load

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Abstract

Cables are flexible structures often used in underwater applications, mainly related to oil extraction industry. This paper proposes a new dynamic modeling of cables that includes the action of external forces applied to its terminal load in two situations: free terminal load and fixed to the seabed. The continuous cable flexibility is approximated by rigid links connected by fictitious elastic joints that allow elevation, azimuth and torsion movements. External forces applied to the terminal load are considered in two situations: written in the inertial framework and written in the body framework. Generic algorithms are proposed for the automatic generation of models considering any number of links in the discrete approximation of continuous cable’s flexibility. The simulation results were very close to the experimental ones, thus validating the proposed modeling formalism. A software was developed to animate the cable with three-dimensional spatial configuration for viewing the simulation results. These animations showed physically the expected results, as well as a great sense of physical reality.

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Authors and Affiliations

  1. Núcleo de Matemática Aplicada e Controle, Universidade Federal do Rio Grande, Av. Itália, km 8, Rio Grande, RS, 96201-900, Brazil

    Sebastião C. P. Gomes, Vanessa S. Oliveira & Guilherme M. Menezes

Authors
  1. Sebastião C. P. Gomes
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  2. Vanessa S. Oliveira
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  3. Guilherme M. Menezes
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Correspondence to Sebastião C. P. Gomes.

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Technical Editor: Thiago Ritto.

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Gomes, S.C.P., Oliveira, V.S. & Menezes, G.M. Dynamic modeling of cables with external forces applied to the terminal load. J Braz. Soc. Mech. Sci. Eng. 42, 472 (2020). https://doi.org/10.1007/s40430-020-02559-0

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  • DOI: https://doi.org/10.1007/s40430-020-02559-0

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