On a simple oscillator problem describing ice-induced vibrations of an offshore structure

Andrei K. Abramian, Sergei A. Vakulenko, Wim T. van Horssen*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)
79 Downloads (Pure)


In this paper, a new simple oscillator model is considered describing ice-induced vibrations of upstanding, water-surrounded, and bottom-founded offshore structures. Existing models are extended by taking into account deformations of an ice floe and a moving contact interaction between an ice rod, which is cut out from the floe, and the oscillator which represents the offshore structure. Special attention is paid to a type of ice-induced vibrations of structures, known as frequency lock-in, and characterized by having the dominant frequency of the ice forces near a natural frequency of the structure. A new asymptotical approach is proposed that allows one to include ice floe deformations and to obtain a nonlinear equation for the simple oscillator vibrations. The instability onset, induced by resonance effects for the oscillator and generated by the ice rod structure interaction, is studied in detail.

Original languageEnglish
Pages (from-to)151-166
Number of pages16
JournalNonlinear Dynamics
Issue number1
Publication statusPublished - 2019


  • Asymptotics
  • Frequency lock-in
  • Ice-induced vibrations


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