Skip to main content
Log in

Ince-Strutt stability charts for ship parametric roll resonance in irregular waves

  • Published:
China Ocean Engineering Aims and scope Submit manuscript

Abstract

Ince-Strutt stability chart of ship parametric roll resonance in irregular waves is conducted and utilized for the exploration of the parametric roll resonance in irregular waves. Ship parametric roll resonance will lead to large amplitude roll motion and even wreck. Firstly, the equation describing the parametric roll resonance in irregular waves is derived according to Grim’s effective theory and the corresponding Ince-Strutt stability charts are obtained. Secondly, the differences of stability charts for the parametric roll resonance in irregular and regular waves are compared. Thirdly, wave phases and peak periods are taken into consideration to obtain a more realistic sea condition. The influence of random wave phases should be taken into consideration when the analyzed points are located near the instability boundary. Stability charts for different wave peak periods are various. Stability charts are helpful for the parameter determination in design stage to better adapt to sailing condition. Last, ship variables are analyzed according to stability charts by a statistical approach. The increase of the metacentric height will help improve ship stability.

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

  • Brouwers, J.J.H., 2011. Asymptotic solutions for Mathieu instability under random parametric excitation and nonlinear damping, Physica D: Nonlinear Phenomena, 240(12), 990–1000.

    Article  MATH  Google Scholar 

  • Chang, B.C., 2008. On the parametric rolling of ships using a numerical simulation method, Ocean Engineering, 35(5–6), 447–457.

    Article  Google Scholar 

  • Chen, W. and Ma, N., 2008. Sea keeping predictions of the fast container ship in the real wave state, Ship Engineering, 30(3), 19–23. (in Chinese)

    Google Scholar 

  • Duan, M.L., Fan, X., Liu, Y., Hou, J.L., Xiao, X. and Peng, F., 2013. Effects of external hanging well slot on the seismic performance of jacket platform, China Petroleum Machinery, 41(11), 53–57. (in Chinese)

    Google Scholar 

  • Duan, M.L., Mao, D.F., Yue, Z.Y., Estefen, S. and Li, Z.G., 2011. A seismic design method for subsea pipelines against earthquake fault movement, China Ocean Engineering, 25(2), 179–188.

    Article  Google Scholar 

  • Enshaei, H., Birmingham, R. and Mesbahi, E., 2012. Identification of influential parameters in a ship’s motion responses: A route to monitoring dynamic stability, International Journal of Maritime Engineering, 154(A1), 43–52.

    Google Scholar 

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

    Google Scholar 

  • Francescutto, A., 2001. An experimental investigation of parametric rolling in head waves, Journal of Offshore Mechanics and Arctic Engineering, 123(2), 65–69.

    Article  Google Scholar 

  • Hua, J.B. and Wang, W.H., 2001. Roll motion of a roro-ship in irregular following waves, Journal of Marine Science and Technology, 9(1), 38–44.

    Google Scholar 

  • Ji, C.Y., Li, H.J. and Yang, Y.C., 2003. Investigation on the cause of excessive vibration of an offshore platform, High Technology Letters, 9(2), 37–43.

    Google Scholar 

  • Ji, C.Y., Zhi, G.X. and Hou, J.Y., 2014. Analytical method of coupled dynamic response for semi-submersible platform under the collision between ship and offshore platform, Journal of Jiangsu University of Science and Technology (Natural Science Edition), 28(6), 518–523. (in Chinese)

    Google Scholar 

  • Maki, A., Umeda, N., Shiotani, S. and Kobayashi, E., 2011. Parametric rolling prediction in irregular seas using combination of deterministic ship dynamics and probabilistic wave theory, Journal of Marine Science and Technology, 16(3), 294–310.

    Article  Google Scholar 

  • Nayfeh, A.H. and Mook, D.T., 2008. Nonlinear Oscillations, John Wiley and Sons, New York.

    MATH  Google Scholar 

  • Neves, M.A.S. and Rodríguez, C.A., 2007. Influence of non-linearities on the limits of stability of ships rolling in head seas, Ocean Engineering, 34(11–12), 1618–1630.

    Article  Google Scholar 

  • Park, D.M., Kim, Y. and Song, K.H., 2013. Sensitivity in numerical analysis of parametric roll, Ocean Engineering, 67, 1–12.

    Article  Google Scholar 

  • Pedersen, P., 1980. Stability of the solutions to Mathieu-Hill equations with damping, Ingenieur-Archiv, 49(1), 15–29.

    Article  MATH  Google Scholar 

  • Tang, Y.G., Lin, W.X., Dong, Y.Q. and Tian, K.Q., 2001. Nonlinear motion response of ship under parametric excitation and forced excitation, Shipbuilding of China, 42(2), 34–39. (in Chinese)

    Google Scholar 

  • Tang, Y.G., Kuang, Y.X. and Li, H.X., 2008. Analysis of the influence of matecentric height fluctuations on roll motion, Shipbuilding of China, 49(2), 22–28. (in Chinese)

    Google Scholar 

  • Thomas, G., Duffy, J., Lilienthal, T., Watts, R. and Gehling, R., 2010. On the avoidance of parametric roll in head seas, Ships and Offshore Structures, 5(4), 295–306.

    Article  Google Scholar 

  • Uzunoglu, E., Silva, S.R., Soares, C.G., Rojas, L.P. and Rodriguez, R.Z., 2013. Numerical and experimental study of the parametric rolling of a fisihing vessel in regular head waves, International Journal of Maritime Engineering (IJME), 155(A4), 181–188.

    Google Scholar 

  • Vidic-Perunovic, J. and Jensen, J.J., 2009. Parametric roll due to hull instantaneous volumetric changes and speed variations, Ocean Engineering, 36(12–13), 891–899.

    Article  Google Scholar 

  • Zhang, X. and Yang, H.Z., 2015a. Probability analysis for ship parametric rolling in irregular waves, Chinese Journal of Ship Research, 10(3), 32–36. (in Chinese)

    Google Scholar 

  • Zhang, X. and Yang, H.Z., 2015b. Sensitivity analysis of parametric roll resonance in for ships irregular waves, Journal of Harbin Engineering University, 36(12), 1539–1543. (in Chinese)

    Google Scholar 

  • Zhang, X., Yang, H.Z. and Xiao, F., 2014. Parameter analysis of ship parametric rolling by Poincaré map, Proceedings of the 11th Pacific/Asia Offshore Mechanics Symposium, Shanghai, China, Paper No. ISOPE-P-14-103.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to He-zhen Yang.

Additional information

Foundation item: This work was financially supported by the National Natural Science Foundation of China (Grant Nos. 51379005 and 51009093).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, X., Yang, Hz., Xiao, F. et al. Ince-Strutt stability charts for ship parametric roll resonance in irregular waves. China Ocean Eng 31, 447–457 (2017). https://doi.org/10.1007/s13344-017-0051-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13344-017-0051-0

Key words

Navigation