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 (IIV) 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. We propose a new asymptotical method that allows us to exclude ice floe deformations and obtain a nonlinear equation for structure vibrations. We investigate instability onset, and resonance effects for these vibrations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Matlock, H., Dawkins, W.P., Panak, J.J.: Analytical model for ice structure interaction. ASCE J. Eng. Mech. Div. 4, 1083–1092 (1971)
Sodhi, D.S.: A theoretical model for ice-structure interaction. In: Proceedings of the OMAE-94 conference, ASME, Vol. IV, pp. 29–34. New York
Huang, G., Liu, P.: A dynamic model for ice-induced vibrations of structures. J. Offshore Mech. Arct. Eng. 13(1), 011501–011506 (2009)
Blenkarn, K.: A Measurement and analysis of ice forces on cook inlet structures. In: Offshore Technology Conference, Houston, TX (1970)
Bogoliubov, N., Mitropolsky, Y.A.: Asymptotic Methods in the Theory of Non-Linear Oscillations (1961)
Gagnon, R.: An explanation for the Molikpaq May 12, 1986 Event. Cold Reg. Sci. Technol. 82, 75–93 (2012)
Abramian, A., Vakulenko, S.: Oscillations of a beam with a time varying mass. Nonlinear Dyn. 63, 135–147 (2011)
Irschik, H., Holl, H.J.: Mechanics of variable-mass systems–Part 1: Balance of mass and linear momentum. Appl. Mech. Rev. 57(1–6), 145–160
De Bruijn, N.: Asymptotic Methods in Analysis. North-Holland, Amsterdam (1961)
Suweken, G., van Horssen, W.T.: On the weakly nonlinear, transversal vibrations of a conveyor belt with a low and time-varying velocity. Nonlinear Dyn. 31, 197–233 (2003)
Peyton, H.R.: Ice and Marine structures, Part II, Sea Ice Properties, Ocean Industr. 3, 59–65
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Abramian, A.K., Vakulenko, S.A. (2019). New Nonlinear Model for Ice Induced Vibrations. In: Altenbach, H., Belyaev, A., Eremeyev, V., Krivtsov, A., Porubov, A. (eds) Dynamical Processes in Generalized Continua and Structures. Advanced Structured Materials, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-030-11665-1_1
Download citation
DOI: https://doi.org/10.1007/978-3-030-11665-1_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-11664-4
Online ISBN: 978-3-030-11665-1
eBook Packages: EngineeringEngineering (R0)