Skip to main content

A Study of the Onset and Stabilization of Parametric Roll by Using an Electro-Mechanical Device

  • Chapter
  • First Online:
Book cover Parametric Resonance in Dynamical Systems

Abstract

Maritime industry plays a major role in our life and in the economy of the world. Most of the merchandize and goods like electronics, cars, food, clothes, are transported from producers to end consumers by ship containers from one end of the world to the other end. Over the last decades, shipping industry has experienced a continuous growing both in their fleets and in the total trade volume. As a consequence of this growing, it has been necessary the design of new ships and vessels capable of transporting as much as possible of products. This is the reason why nowadays ships are designed using cutting edge technology in order to find an optimal design looking mainly at economic aspects. For instance, modern container ships hulls feature a bow flare and stern overhang in combination with a flow-optimized geometry below the water line. This design is twofold: at one hand it provides maximum space for container storage and at the other hand it provides a minimal water resistance. However, modern designs of vessels and ships seem to be prone to a phenomenon called parametric roll.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Abdel Gawad, A. F., Ragab, S. A., Nayfeh, A. H., Mook, D. T.: Roll stabilization by anti-roll passive tanks, Ocean Engineering, 28:457–469 (2001)

    Article  Google Scholar 

  2. Amerongen van, J., Klugt, van der P. G. M., Nauta Lemke, van H. R.: Rudder roll stabilization for ships. Automatica. 26(4):679–690 (1990)

    Google Scholar 

  3. Brown, D. K.: The way of a ship in the midst of the sea: the life and work of William Froude. Periscope Publishing Ltd. ISBN-10: 1904381405 (2006)

    Google Scholar 

  4. Carmel, S. M.: Study of parametric rolling event on a panamax container vessel. Journal of the Transportation Research Board, 1963:56–63 (2006)

    Article  Google Scholar 

  5. France, W. N., Levadou, M., Trakle, T. W., Paulling, J. R., Michel, R.K., Moore, C.: An investigation of head-sea parametric rolling and its influence on container lashing systems, Marine Technology 40(1):1-19 (2003)

    Google Scholar 

  6. Galeazzi, R., Holden, C., Blanke, M., Fossen, T. I.: Stabilization of parametric roll resonance by combined speed and fin stabilizer control. Proceedings of the 10th European Control Conference, Budapest, Hungary, pp. 4895–4900 (2009)

    Google Scholar 

  7. Holden, C., Galeazzi, R., Fossen, T. I., Perez, T.: Stabilization of parametric roll resonance with active u-tanks via Lyapunov control design. Proceedings of the 10th European Control Conference, Budapest, Hungary, pp. 4889–4894 (2009)

    Google Scholar 

  8. Holden, C., Galeazzi, R., Rodríguez, C. A., Perez, T., Fossen, T. I., Blanke, M., Neves, M. A. S.: Nonlinear container ship model for the study of parametric roll resonance. Modeling, identification and control 28(4):87–103 (2007)

    Article  Google Scholar 

  9. Ibrahim, R. A., Grace, I. M.: Modeling of ship roll dynamics and its coupling with heave and pitch. Mathematical Problems in Engineering, vol. 2010, 32 pages, doi:10.1155/2010/934714 (2010)

    Google Scholar 

  10. Baniela, I. S.: Roll motion of a ship and the roll stabilising effect of bilge keels. The Journal of Navigation, 61:667–686, doi:10.1017/S0373463308004931 (2008)

    Article  Google Scholar 

  11. Lloyd, A. R. J. M.: Seakeeping: ship behaviour in rough weather, Ellis Horwood Limited, Chichester (1989)

    Google Scholar 

  12. Neves, M. A. S., Rodrguez, C. A.: A coupled non-linear mathematical model of parametric resonance of ships in head seas. Applied Mathematical Modelling, 33(6):2630–2645, doi: 10.1016/j.apm.2008.08.002 (2009)

    Article  MathSciNet  Google Scholar 

  13. Perez, T.: Ship motion control: course keeping and roll stabilisation using rudder and fins. Advances in Industrial Control. London, United Kingdom (2005)

    Google Scholar 

  14. Pogromsky, A., Rijlaarsdam, D., Nijmeijer, H.: Experimental Huygens synchronization of oscillators. Nonlinear Dynamics and Chaos: Advances and Perspectives. Springer series Understanding Complex Systems. Editors: Marco Thiel, Jurgen Kurths, M. Carmen Romano, Gyorgy Karolyi and Alessandro Moura. pp 195–210 (2010)

    Google Scholar 

  15. Rosas Almeida, D. I., Alvarez, J., Fridman, L.: Robust observation and identification of n-DOF Lagrangian systems. International Journal of Robust and Nonlinear control. 17:842–861 (2007)

    Article  MathSciNet  Google Scholar 

  16. Tondl, A., Nabergoj, R.: Simulation of parametric ship roll and hull twist oscillations. Nonlinear Dynamics, 3(1):41-56, doi: 10.1007/BF00045470 (1992)

    Article  Google Scholar 

  17. Tondl, A., Ruijgrok, T., Verhulst, F., Nabergoj, R.: Autoparametric resonance in mechanical systems. Cambridge, United Kingdom (2000)

    MATH  Google Scholar 

Download references

Acknowledgements

The first author acknowledges the support of the Mexican Council for Science and Technology (CONACYT).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jonatan Peña-Ramírez .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Peña-Ramírez, J., Nijmeijer, H. (2012). A Study of the Onset and Stabilization of Parametric Roll by Using an Electro-Mechanical Device. In: Fossen, T., Nijmeijer, H. (eds) Parametric Resonance in Dynamical Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1043-0_14

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-1043-0_14

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-1042-3

  • Online ISBN: 978-1-4614-1043-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics