2018
DOI: 10.1155/2018/6491517
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Vortex-Induced Vibration Response Bifurcation Analysis of Top-Tensioned Riser Based on the Model of Variable Lift Coefficient

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 sing… Show more

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Cited by 3 publications
(2 citation statements)
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“…where A s is the riser crosssectional area (A s � π 2 (D 2 − d 2 )/4; D is the outer diameter and d is the inner diameter of the riser); ρ s and ρ w are the riser material density and seawater density, respectively; f top is the top tension coefficient, and L is the length of the riser; m r is the riser quality per unit length (m r � πρ s (D 2 − d 2 )/4); and m f is the riser fluid quality per unit length (m f � ρ f πd 2 /4), m a is the additional quality per unit length (m a � C a ρ w πD 2 /4 in which C a is the added mass coefficient), and C is structural damping [25,29]. In this paper, the Van der Pol equation is used to represent the vibration characteristics of the wake vortex shedding.…”
Section: Dynamical Modelmentioning
confidence: 99%
“…where A s is the riser crosssectional area (A s � π 2 (D 2 − d 2 )/4; D is the outer diameter and d is the inner diameter of the riser); ρ s and ρ w are the riser material density and seawater density, respectively; f top is the top tension coefficient, and L is the length of the riser; m r is the riser quality per unit length (m r � πρ s (D 2 − d 2 )/4); and m f is the riser fluid quality per unit length (m f � ρ f πd 2 /4), m a is the additional quality per unit length (m a � C a ρ w πD 2 /4 in which C a is the added mass coefficient), and C is structural damping [25,29]. In this paper, the Van der Pol equation is used to represent the vibration characteristics of the wake vortex shedding.…”
Section: Dynamical Modelmentioning
confidence: 99%
“…et al [11] created a vibration model considering multiphase flow and analyzed the natural frequency of a marine riser. Wang Y. et al established models to study the vortexinduced vibration bifurcation response of TTR under variable lift coefficient and shear flow [12,13]. These studies were based on the same assumption: the tension force of the riser is constant.…”
Section: Introductionmentioning
confidence: 99%