Skip to main content
Log in

Simulation of parametric ship roll and hull twist oscillations

  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

A new mechanical model for simulating both the ship oscillations and the induced twisting of the hull in the case of longitudinal seas is presented. Particular attention is given to the onset of parametric rolling, which may result from non-linearly coupled heave-pitch-roll motions. It is shown that in these sea conditions the phenomenon of twisting is likely to occur under a mechanism similar to that of parametric rolling.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bhattacharyya R.,Dynamics of Marine Vehicles, John Wiley & Sons, New York, 1978.

    Google Scholar 

  2. Tondl A. and Nabergoj R., ‘Model simulation of parametrically excited ship rolling’,Nonlinear Dynamics 1, 1990, 131–141.

    Google Scholar 

  3. Bishop R. E. D. and Price W. G.,Hydroelasticity of Ships, Cambridge University Press, Cambridge, 1979.

    Google Scholar 

  4. Nayfeh A. H., ‘On the undesirable roll characteristics of ships in regular seas’,Journal of Ship Research 32, 1988, 92–100.

    Google Scholar 

  5. Wright J. H. G. and Marshfield W. B., ‘Ship roll response and capsize behaviour in beam seas’,Transactions of the Royal Institution of Naval Architects 122, 1980, 129–148.

    Google Scholar 

  6. Blagoveshchensky S. N.,Theory of Ship Motions, Dover Publications, New York, 1962.

    Google Scholar 

  7. Tondl A., ‘A method for the determination of instability intervals of quasiharmonic systems’ (in Czech),Apltkace Matematiky 4, 1959, 278–289.

    Google Scholar 

  8. Froude W., ‘On the rolling of ships’,Transactions of the Institution of Naval Architects 2, 1861, 180–229.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tondl, A., Nabergoj, R. Simulation of parametric ship roll and hull twist oscillations. Nonlinear Dyn 3, 41–56 (1992). https://doi.org/10.1007/BF00045470

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00045470

Key words

Navigation