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Calculating Arc Length and Curvature of Helical Elements in Bent Cables and Umbilicals Using Fourier Series

[+] Author Affiliations
Magnus Komperød

Nexans Norway AS, Halden, Norway

Paper No. OMAE2017-61102, pp. V05AT04A003; 12 pages
doi:10.1115/OMAE2017-61102
From:
  • ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering
  • Volume 5A: Pipelines, Risers, and Subsea Systems
  • Trondheim, Norway, June 25–30, 2017
  • Conference Sponsors: Ocean, Offshore and Arctic Engineering Division
  • ISBN: 978-0-7918-5769-4
  • Copyright © 2017 by ASME

abstract

Mechanical cable analyses range from simple hand calculations to complex, three-dimensional finite element analyses. This paper considers numerical calculations of analytical models as an attractive compromise between these extremities. The paper derives numerical calculations of the arc lengths and the local bending curvatures of helical elements in bent cables and umbilicals, and compares the results with analytical approximations found in the scientific literature. The numerical calculations are highly efficient, requiring only a very few function evaluations to give excellent accuracy. On today’s PCs and laptops the calculations require only a few milliseconds CPU time. The excellent convergence properties of Fourier series for smooth, periodic functions are used to achieve these favorable results. In addition to high accuracy, the numerical calculations disclose behaviors that are not captured by the analytical approximations.

Copyright © 2017 by ASME

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