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A Numerical Procedure Accounting for Fluid Drag Forces and Cable Extensibility for the Static Response of Mooring Cables

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Abstract

An effective numerical method is proposed for the three-dimensional nonlinear analysis of mooring cables using catenary theory. In this method, the mooring line is divided into finite number of catenary elements. In addition to self-weight, each catenary element is subjected to drag force due to steady ocean currents. The proposed procedure is validated by comparing the results with those of the shooting optimization and the finite element methods. Finally, a parametric study is conducted to study the effect of extensibility on the static response of mooring cables. The effects of fluid drag forces and cable extensibility on mooring cable tension, equilibrium configurations, and stressed lengths are illustrated for two- and three-dimensional mooring cable problems. From the numerical results, the method is found to be numerically stable, and it provides a more rational static response for mooring cables.

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References

  • Agarwal, A. K., and Jain, A. K. (2003a). “Dynamic behavior of offshore spar platforms under regular sea waves.” Ocean Engineering. 30(4), pp. 487–516.

    Article  Google Scholar 

  • Agarwal, A. K. and Jain, A. K. (2003b). “Nonlinear coupled dynamic response of offshore Spar platforms under regular sea waves.” Ocean Engineering. 30(4), pp. 517–551.

    Article  Google Scholar 

  • Chucheepsakul, S., Srinil, N. and Petchpeart, P. (2003). “A variational approach for three-dimensional model of extensible marine cables with specified top tension.” Applied Mathematical Modelling. 27(10), pp. 781–803.

    Article  MATH  Google Scholar 

  • Chue, S.-H. (1983). “Mechanics of Static Catenary with Current Loading.” Journal of Waterway, Port, Coastal, and Ocean Engineering. 109(3), pp. 340–349.

    Article  Google Scholar 

  • Friswell, M. I. (1995). “Steady-State Analysis of Underwater Cables.” Journal of Waterway, Port, Coastal, and Ocean Engineering. 121(2), pp. 98–104.

    Article  Google Scholar 

  • Ganesan, T. S. and Sen, D. (2015). “Direct time domain analysis of floating structures with linear and nonlinear mooring stiffness in a 3D numerical wave tank.” Applied Ocean Research. 51, pp. 153–170.

    Article  Google Scholar 

  • Garza-Rios, L. O., Bernitsas, M. M., Nishimoto, K. (1997). “Catenary mooring lines with nonlinear drag and touchdown.” Report to the University of Michigan/ Industry Consortium in Offshore Engineering., Publication No. 333, Ann Arbor, MI, January, 1997.

    Google Scholar 

  • Gobat, J. I. and Grosenbaugh, M. A. (2006). “Time-domain numerical simulation of ocean cable structures.” Ocean Engineering. 33(10), pp. 1373–1400.

    Article  Google Scholar 

  • Huang, S. and Vassalos, D. (1993). “A semi-analytic treatment of three-dimensional statics of marine cables.” Ocean engineering. 20(4), pp. 409–420.

    Article  Google Scholar 

  • Irvine, H. M. (1981). Cable structures. Dover Publications, New York, USA.

    Google Scholar 

  • Jayaraman, H. B. and Knudson, W. C. (1981). “A curved element for the analysis of cable structures.” Computers & Structures. 14(3-4), pp. 325–333.

    Article  Google Scholar 

  • Masciola, M., Nahon, M. D. and Driscoll, F. R. (2011). “Static Analysis of the Lumped Mass Cable Model Using a Shooting Algorithm.” Journal of Waterway, Port, Coastal, and Ocean Engineering. 138(2), pp. 164–171.

    Article  Google Scholar 

  • Montasir, O. A., Yenduri, A. and Kurian, V. J. (2015). “Effect of mooring line configurations on the dynamic responses of truss spar platforms.” Ocean Engineering. 96, pp. 161–172.

    Article  Google Scholar 

  • Pevrot, A. H. and Goulois, A. M. (1979). “Analysis of cable structures.” Computers & Structures. 10(5), pp. 805–813.

    Article  Google Scholar 

  • Salehi Ahmad Abad, M., Shooshtari, A., Esmaeili, V. and Naghavi Riabi, A. (2013). “Nonlinear analysis of cable structures under general loadings.” Finite Elements in Analysis and Design. 73, pp. 11–19.

    Article  Google Scholar 

  • Smith, R. J. and Colin, J. M. (2001). “Statics of a three component mooring line.” Ocean Engineering. 28(7), pp. 899–914.

    Article  Google Scholar 

  • Thai, H.-T. and Kim, S.-E. (2011). “Nonlinear static and dynamic analysis of cable structures.” Finite Elements in Analysis and Design. 47(3), pp. 237–246.

    Article  Google Scholar 

  • Triantafyllou, M. S. (1982). “Preliminary design of mooring systems.” Journal of Ship Research. 26(1), pp. 25–35.

    Google Scholar 

  • Vaz, M. A. and Patel, M. H. (2000). “Three-dimensional behaviour of elastic marine cables in sheared currents.” Applied Ocean Research. 22(1), pp. 45–53.

    Article  Google Scholar 

  • Xu, X.-S. (2014). “Steady-state configuration and tension calculations of marine cables under complex currents via separated particle swarm optimization.” China Ocean Engineering. 28(6), pp. 815–828.

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Hanyang University, 222 Wangshimni-ro, Seongdong-gu, Seoul, 04763, South Korea

    Naik Muhammad, Zahid Ullah & Dong-Ho Choi

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  1. Naik Muhammad
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  2. Zahid Ullah
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  3. Dong-Ho Choi
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Correspondence to Dong-Ho Choi.

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Muhammad, N., Ullah, Z. & Choi, DH. A Numerical Procedure Accounting for Fluid Drag Forces and Cable Extensibility for the Static Response of Mooring Cables. Int J Steel Struct 18, 293–303 (2018). https://doi.org/10.1007/s13296-018-0322-5

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  • DOI: https://doi.org/10.1007/s13296-018-0322-5

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