Print Email Facebook Twitter On a simple oscillator problem describing ice-induced vibrations of an offshore structure Title On a simple oscillator problem describing ice-induced vibrations of an offshore structure Author Abramian, A. (Institute for Problems of Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg) Vakulenko, Sergei A. (Institute for Problems of Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg) van Horssen, W.T. (TU Delft Mathematical Physics) Date 2019 Abstract 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. Subject AsymptoticsFrequency lock-inIce-induced vibrations To reference this document use: http://resolver.tudelft.nl/uuid:bb35b486-1e91-4978-8ace-108107bdd9c3 DOI https://doi.org/10.1007/s11071-019-05179-z ISSN 0924-090X Source Nonlinear Dynamics: an international journal of nonlinear dynamics and chaos in engineering systems, 98 (1), 151-166 Part of collection Institutional Repository Document type journal article Rights © 2019 A. Abramian, Sergei A. Vakulenko, W.T. van Horssen Files PDF Abramian2019_Article_OnAS ... emDesc.pdf 1.11 MB Close viewer /islandora/object/uuid:bb35b486-1e91-4978-8ace-108107bdd9c3/datastream/OBJ/view