Non-symmetric cyclic bending of helical wires in flexible pipes |
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| Institution: | 1. Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark;2. National Oilwell Varco, Flexibles, Priorparken 480, DK-2605 Brøndbyvester, Denmark;1. School of Naval Architecture, Dalian University of Technology, Dalian, China;2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, China;1. School of Naval Architecture, Dalian University of Technology, Dalian, China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, China;1. Department of Marine Technology, Norwegian University of Science and Technology (NTNU), Trondheim, NO-7491, Norway;2. OIL and GAS, SINTEF OCEAN, Trondheim, NO-7052, Norway;1. Department of Engineering & Architecture, University of Parma, Parco Area delle Scienze 181/A, 43124 Parma, Italy;2. Mechanical Post-Graduate Program, Federal University of Rio Grande do Sul, Sarmento Leite 425, CEP 90050-170 Porto Alegre, Brazil |
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| Abstract: | Unbonded flexible pipes have superior fatigue performance as the internal armor layers are allowed to move relative to each other, leading to reduced structural loading. The main interactions between the internal layers are the contact forces and the frictional forces. Frictional interaction leads to a complex non-linear response of unbonded flexible pipes making prediction of cyclic bending fatigue a demanding task. Nevertheless, detailed understanding of local armor wire stresses and the related fatigue phenomena is of paramount importance as unbonded flexible risers are often operated close to their mechanical limits. This paper presents a method for calculating the tensile armor wire loading and the hysteresis effect on flexible pipes when subjected to tension, and non-symmetric cyclic bending. The effect of non-symmetric cyclic bending with different tensile armor lay angles, and frictional conditions are studied. The analysis uses an efficient repeated unit cell finite element model, allowing the analysis to be performed on a desktop computer. The study shows that the tensile armor wires gradually translate towards the compression side of the pipe bending plane, when the unbonded flexible pipe is subjected to combined tension and non-symmetric cyclic bending. In the analysis, cyclic bending is applied until steady-state in the bending response is achieved over a full bending cycle. The global bending response of the flexible pipe and the tensile armor wire loading conditions for fully stabilized non-symmetric cyclic bending become symmetric around the frictionless state for the mean cyclic bending curvature. An approximate analytic model for the tensile armor in the stabilized cycle, based on symmetric bending about the geodesic curve corresponding to the mean pipe curvature, is proposed. |
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| Keywords: | Flexible pipes Cyclic bending Repeated unit cell Tensile armor bending stress Helical layer Frictional contact Finite elements |
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