TY - JOUR
T1 - On a simple oscillator problem describing ice-induced vibrations of an offshore structure
AU - Abramian, Andrei K.
AU - Vakulenko, Sergei A.
AU - van Horssen, Wim T.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
KW - Asymptotics
KW - Frequency lock-in
KW - Ice-induced vibrations
UR - http://www.scopus.com/inward/record.url?scp=85070942018&partnerID=8YFLogxK
U2 - 10.1007/s11071-019-05179-z
DO - 10.1007/s11071-019-05179-z
M3 - Article
AN - SCOPUS:85070942018
SN - 0924-090X
VL - 98
SP - 151
EP - 166
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
IS - 1
ER -