Abstract
Top-tensioned riser (TTR) is one of the most frequently used pieces of equipment in offshore petroleum engineering. At present, the research of its vortex-induced vibration (VIV) is mainly focused on numerical simulation with few analytical approaches. In this paper, the nonlinear dynamic equation of VIV about TTR is developed by introducing the third-order variable lift coefficient hydrodynamic model. The amplitude-frequency response equation under 1:1 primary resonance excitation is deduced based on the single mode discrete results. The nonlinear dynamic responses characteristics of the TTR vibration under the excitation of vortex-induced resonance are discussed. Bifurcation theory is used to study the singularity of the analytical solution of the riser system. The hysteresis and solitary solutions from the results of singularity analysis are found. Such results can provide guidance for the design and optimization of riser structural parameters.
Highlights
With the increasing demand for oil and gas resources globally, the exploitation of marine oil and gas resources gradually extends from shallow water to deep water
As the deep-sea risers are slender with large aspect ratio, the natural frequency and structure stability of the riser are reduced, and the vortex-induced vibration (VIV) of the deep-sea riser is more complicated with respect to the water depth
This paper constructs the nonlinear dynamic equation of VIV of Top-tensioned riser (TTR) based on the third-order variable lift coefficient hydrodynamic model
Summary
With the increasing demand for oil and gas resources globally, the exploitation of marine oil and gas resources gradually extends from shallow water to deep water. As the deep-sea risers are slender with large aspect ratio, the natural frequency and structure stability of the riser are reduced, and the vortex-induced vibration (VIV) of the deep-sea riser is more complicated with respect to the water depth Under this trend, a lot of new problems and new phenomenon emerged [1]. VIV is essentially nonlinear, self-excited and self-limiting multi-degree of freedom resonance response, which generally involves strong nonlinear structural motions Typical nonlinear characters such as lockin, hysteresis, displacement jumps, bifurcation, and chaos can be found in VIV of deep-sea risers. Despite rich dynamics of the VIV of deep-sea risers, researchers have not been able to find exact analytical solutions of the VIV response. This hampers the understanding of the underlying mechanisms of some observed nonlinear phenomenon [2]. Such quantification can provide predictive and new ideas for the VIV problem about the TTR
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