The effect of nonlinear damping and restoring in ship rolling

M. Taylan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

122 Citations (Scopus)


Many researchers have studied a wide range of nonlinear equations of motion describing a ship rolling in waves. In this study, a form of nonlinear equation governing the motion of a rolling ship subjected to synchronous beam waves is suggested and solved by the generalized Duffing's method in the frequency domain. Various representations of damping and restoring terms found in the literature are investigated and their solutions are analyzed by the above-mentioned method. Comparative results of nonlinear roll responses are obtained for four distinct vessel types at resonance conditions which constitute the worst situation. The results indicate the importance of roll damping and restoring, when constructing a nonlinear roll model. An inappropriate selection of damping and restoring terms may lead to serious discrepancies with reality, especially in peak roll amplitudes. (C) 2000 Elsevier Science Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)921-932
Number of pages12
JournalOcean Engineering
Issue number9
Publication statusPublished - Apr 2000


  • Nonlinear damping
  • Nonlinear restoring
  • Nonlinear rolling
  • Peak amplitude
  • Resonance
  • Roll response


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