Skip to main content
SpringerLink
Log in

A study on dynamic response of cable-seabed interaction

  • Published:
Journal of Shanghai Jiaotong University (Science) Aims and scope Submit manuscript

Abstract

A numerical method is developed to investigate the dynamic response of cable-seabed interaction in this paper. The motion of cable is described by the Lumped Parameter Method, while the seabed, unlike the prevailing simplified model of elastic foundation, is modeled as an irregular continuous rigid surface with rebound and friction existing, and the forces exerted by the seabed consist of normal counterforce and isotropic tangential Coulomb friction resistance. To describe the detailed dynamic response, two coefficients are introduced by analogy with the theory of rigid body collision with friction. The cable-seabed kinematic and dynamic contact conditions are formulated subsequently, and are used to incorporate the seabed effect into the cable dynamics to produce a set of ordinary differential governing equations. In this paper, we employ 4th order Runge-Kutta method to solve these equations. Several simulation cases are presented to illustrate the seabed effect. The results show that friction and impact have a prominent influence on the statics and dynamics of the cable.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Walton T S, Polachech H. Calculation of transient motion of submerged cables [J]. Mathematics of Computation, 1960, 14: 27–46.

    Article  MATH  Google Scholar 

  2. De zoysa A P K. Steady-state analysis of undersea cables [J]. Ocean Engineering, 1978, 5(3): 209–223.

    Article  Google Scholar 

  3. Ablow C M, Schechter S. Numerical simulation of undersea cable dynamics [J]. Ocean Engineering, 1983, 10(6): 443–457.

    Article  Google Scholar 

  4. Milinazzo F, Wilkie M, Latchman S A. An efficient algorithm for simulating the dynamics of towed cable systems [J]. Ocean Engineering, 1987, 14(6): 513–526.

    Article  Google Scholar 

  5. Huang S. Dynamics analysis of three-dimensional marine cables [J]. Ocean Engineering, 1994, 21(6): 587–605.

    Article  Google Scholar 

  6. Chai Y T, Varyani K S, Barltrop N D P. Three-dimensional lump-mass formulation of a catenary riser with bending, torsion and irregular seabed interaction effect [J]. Ocean Engineering, 2002, 29: 1503–1525.

    Article  Google Scholar 

  7. Lemon S G. Towed-array history, 1917–2003 [J]. Ocean Engineering, 2004, 29(2): 365–373.

    Article  Google Scholar 

  8. Wang F, Huang G L, Deng D H. Steady-state analysis of towed marine cables [J]. Journal of Shanghai Jiaotong University (Science), 2008, 13(2): 239–244.

    Article  Google Scholar 

  9. Gobat J I, Grosenbaugh M A. Dynamics in the touchdown region of catenary moorings [C]//Proc 11th International Offshore and Polar Engineering Conference. Stavanger, Norway: ISOPE, 2001: 239–247.

    Google Scholar 

  10. Thomas D O, Hearn G E, Newcastle U. Deepwater mooring line dynamics with emphasis on seabed interference effects [C]// OTC-7488, 26th Offshore Technology Conference. Houston, USA: SPE, 1994: 203–214.

    Google Scholar 

  11. Nakajima T, Motora S, Fujino M. On the dynamic analysis of multi-component mooring lines [C]// OTC-4309, 14th Offshore Technology Conference. Houston: SPE, 1982: 105–120.

    Google Scholar 

  12. Dutta A. A simple method of analyzing mooring chains with embedded anchor point [J]. Journal of Offshore Mechanics and Arctic Engineering, 1988, 110: 71–73.

    Article  Google Scholar 

  13. Liu Y G, Bergdahl L. Influence of current and seabed friction on mooring cable response: comparison between time-domain and frequency-domain analysis [J]. Engineering Structure, 1997, 19(11): 945–955.

  14. Pesce C P, Aranha J A P, Martins C A. The soil rigidity effect in the touchdown boundary-layer of a catenary riser: static problem [C]//Proc 8th International Offshore and Polar Engineering Conference. Montreal, Canada: ISOPE, 1998: 207–213.

    Google Scholar 

  15. Pesce C P, Aranha J A P. Dynamic curvature in catenary risers at the touch down point region: An experimental study and the analytical boundary-layer solution [J]. Int Journal of Offshore and Polar Engineering, 1998, 8: 303–310.

    Google Scholar 

  16. Gatti-bono C, Perkins N C. Numerical simulation of cable/seabed interaction [C]//Proc 13th International Offshore and Polar Engineering Conference. Honolulu, Hawaii, USA: ISOPE, 2003: 120–126.

    Google Scholar 

  17. Whittaker E T. A treatise on the analytical dynamics of particles and rigid bodies [M]. Cambridge: Cambridge University Press, 1904.

    Google Scholar 

  18. Keller J B. Impact with friction [J]. ASME Journal of Applied Mechanics, 1986, 53: 1–4.

    MATH  Google Scholar 

  19. Brach R M. Rigid body collisions [J]. ASME Journal of Applied Mechanics, 1989, 56: 133–138.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Merchant Marine College, Shanghai Maritime University, Shanghai, 200135, China

    Fei Wang  (王 飞) & Xing-hua Tu  (涂兴华)

  2. State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai, 200030, China

    Guo-liang Huang  (黄国樑) & De-heng Deng  (邓德衡)

Authors
  1. Fei Wang  (王 飞)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Guo-liang Huang  (黄国樑)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. De-heng Deng  (邓德衡)
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xing-hua Tu  (涂兴华)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fei Wang  (王 飞).

Additional information

Foundation item: the Shanghai Excellent Young Teachers Program and the Shanghai Leading Academic Discipline Project (No. S30602)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, F., Huang, Gl., Deng, Dh. et al. A study on dynamic response of cable-seabed interaction. J. Shanghai Jiaotong Univ. (Sci.) 14, 443–449 (2009). https://doi.org/10.1007/s12204-009-0443-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12204-009-0443-2

Key words

CLC number

Search

Navigation