Fluid Effect On Ice Induced Vibrations

Abramian, A. K.; Indeitsev, D. A.; Bessonov, Nikolai

doi:10.1016/j.proeng.2017.09.276

Cited by 2 publications

(4 citation statements)

References 3 publications

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“…As was mentioned in [3], these situations are less important for safety applications since dangerous vibrations start with smaller velocities. Also some other models were proposed in [5][6][7][8][9][10]. Depending on the model, the interaction is described as a function of different sets of parameters related to the ice and the structure.…”

Section: Introductionmentioning

confidence: 99%

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

2019

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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.

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Section: Introductionmentioning

confidence: 99%

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

2019

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“….). That space is defined by H A = {A : A 2 < ∞} and it is equipped with the standard norm (1) (v) be the linear operator defined on H by D (1)…”

Section: Discussionmentioning

confidence: 99%

“…where δ κ is an approximation of the δ-function by taking into account the conditions (97), where κ > 0 is a detuning parameter. The eigenvalues λ * (v) of the operator D (1) (v) can be estimated by using the Rayleigh principle for the maximum of quadratic forms:…”

Section: Substituting This Formula Into D (1)mentioning

confidence: 99%

“…The second theory explains the initiation of the steady regimes by negative damping occurring during an ice structure interaction [5,23]. Based on experiments and field observations some new coupled models for IIV were developed [1,2,9,12,14,16,21,25,33]. In these models the structure is usually described as a one or a two degree of freedom oscillator with a linear or nonlinear structure rigidity.…”

Section: Introductionmentioning

confidence: 99%

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A mathematical analysis of an extended model describing sea ice-induced frequency lock-in for vertically sided offshore structures

2021

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This paper presents a mathematical analysis of an extended model describing a sea ice-induced frequency lock-in for vertically sided offshore structures. A simple Euler-Bernoulli beam as model for the offshore structure is used, and a moving boundary between an ice floe and the structure itself is introduced. A nonlinear equation for the beam dynamics is found by using an asymptotical approach and a Galerkin procedure. It is shown analytically that a frequency lockin regime occurs during ice-induced vibrations (IIV), when the dominant ice force frequency is closed to a natural frequency of the structure. For beams, perturbed by small nonlinearities and a small damping, the concept of quasi-modes is introduced. A quasi-mode is a linear combination of the usual eigenmodes. The large time behaviour of solutions at the instability onset is determined by a single quasi-mode, which is maximally linearly unstable.The beam model analysis leads to the conclusion that an interaction between a moving ice floe and a structure can lead to a "negative friction" for particular values of the ice floe parameters. From the analysis presented in the paper it follows that the lock-

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Fluid Effect On Ice Induced Vibrations

Cited by 2 publications

References 3 publications

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

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

A mathematical analysis of an extended model describing sea ice-induced frequency lock-in for vertically sided offshore structures

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