Torsional Response Analysis of Flexible Pipe Based on Theory and Finite Element Method
Tóm tắt
As key components connecting offshore floating production platforms and subsea imports, offshore flexible pipes play significant roles in oil, natural gas, and water injection. It is found that torsional failure is one of the failure modes of flexible pipes during transportation and laying. In this paper, a theoretical model (TM) of a flexible pipe section mechanics is established, in which the carcass layer and the pressure armor layer are equivalent to the orthogonal anisotropic layers due to its complex cross-section structure. The calculation results of the TM are consistent with those of a finite element model (FEM), which can accurately describe the torsional response of the flexible pipe. Subsequently, the TM and FEM are used to discuss the influence of boundary conditions on the torsional response. The structure of the flexible pipe is stable when twisted counterclockwise. However, limiting the top axial displacement can improve the axial and radial instability of the tensile armor layer when twisted clockwise. Finally, it is recommended that the flexible pipe can be kept under top fixation during service or installation to avoid torsional failure.
Tài liệu tham khảo
API, 2014a. Recommended Practice for Flexible Pipe, API Recommended
Practice 17B, American Petroleum Institute, Washington. API, 2014b. Recommended Practice for Flexible Pipe, API Recommended Practice 17A, American Petroleum Institute, Washington.
Bahtui, A., Alfano, G., Bahai, H. and Hosseini-Kordkheili, S.A., 2010. On the multi-scale computation of un-bonded flexible risers, Engineering Structures, 32(8), 2287–2299.
Chen, G., 2011. Cross-Section Mechanical Analysis of Non-Bonded Offshore Flexible Pipes, MSc. Thesis, Harbin Engineering University, Harbin. (in Chinese)
Cuamatzi-Melendez, R., Castillo-Hernández, O., Vázquez-Hernández, A.O. and Vaz, M.A., 2017. Finite element and theoretical analyses of bisymmetric collapses in flexible risers for deepwaters developments, Ocean Engineering, 140, 195–208.
Custódio, A.B. and Vaz, M.A., 2002. A nonlinear formulation for the axisymmetric response of umbilical cables and flexible pipes, Applied Ocean Research, 24(1), 21–29.
de Sousa, J.R., de Sousa, F.J.M., de Siqueira, M.Q., Sagrilo, L.V.S. and de Lemos, C.A.D., 2012. A theoretical approach to predict the fatigue life of flexible pipes, Journal of Applied Mathematics, 2012, 983819.
de Sousa, J.R.M., Ellwanger, G.B., Lima, E.C.P. and Arnaldo, P., 2001. Local mechanical behaviour of flexible pipes subjected to installation loads, Proceedings of the 20th International Conference on Offshore Mechanics and Arctic Engineering, American Society of Mechanical Engineers, New York.
de Sousa, J.R.M., Magluta, C., Roitman, N., Ellwanger, G.B., Lima, E. C.P. and Papaleo, A., 2009. On the response of flexible risers to loads imposed by hydraulic collars, Applied Ocean Research, 31(3), 157–170.
de Souza, A.P.F., 2002. Flexible Pipe’s Collapse Under External Pressure, Ph.D. Thesis, Federal University of Rio de Janeiro, Rio de Janeiro.
Dong, L.L., Qu, Z.X., Zhang, Q., Huang, Y. and Liu, G., 2019. A general model to predict torsion and curvature increments of tensile armors in unbonded flexible pipes, Marine Structures, 67, 102632.
Dong, L.L., Zhang, Q., Huang, Y. and Liu, G., 2017. Slip and stress of tensile armors in unbonded flexible pipes close to end fitting considering an exponentially decaying curvature distribution, Marine Structures, 51, 110–133.
Ebrahimi, A., Kenny, S. and Hussein, A., 2018. Finite element investigation on the tensile armor wire response of flexible pipe for axisymmetric loading conditions using an implicit solver, Journal of Offshore Mechanics and Arctic Engineering, 140(4), 041402.
Fang, P., Yuan, S., Cheng, P., Bai, Y. and Xu, Y.X., 2019. Mechanical responses of metallic strip flexible pipes subjected to pure torsion, Applied Ocean Research, 86, 13–27.
Kebadze, E., 2000. Theoretical Modelling of Unbonded Flexible Pipe Cross-Sections, Ph.D. Thesis, South Bank University, London.
Lei, Q.L., Zhu, X.H., Meng, Y. and Cui, X.X., 2022. On the pressure–torsion response of a flexible pipe with section ovalization, Applied Ocean Research, 127, 103297.
Liu, W.C., 2018. Study on Nonlinear Cross-Sectional Mechanical Response of Unbonded Flexible Risers and Failure Characteristics of Helical Layers, MSc. Thesis, Harbin Engineering University, Harbin. (in Chinese)
Longva, V. and Sævik, S., 2016. On prediction of torque in flexible pipe reeling operations using a Lagrangian–Eulerian FE framework, Marine Structures, 46, 229–254.
Lu, Y.T., 2017. Research on Cross-Sectional Mechanical Model and Fatigue Life Analysis of Deepwater Flexible Risers, Ph.D. Thesis, Zhejiang University, Hangzhou. (in Chinese)
Martins, C.A., Pesce, C.P. and Aranha, J.A.P., 2003. Structural behavior of flexible pipe carcass during launching, Proceedings of the ASME 2003 22nd International Conference on Offshore Mechanics and Arctic Engineering, ASME, Cancun, Mexico.
McNamara, J.F. and Harte, A.M., 1992. Three-dimensional analytical simulation of flexible pipe wall structure, Journal of Offshore Mechanics and Arctic Engineering, 114(2), 69–75.
Merino, H.E.M., de Sousa, J.R.M., Magluta, C. and Roitman, N., 2010. Numerical and experimental study of a flexible pipe under torsion, Proceedings of the ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering, ASME, Shanghai, China.
Merino, H.E.M., de Sousa, J.R.M., Magluta, C. and Roitman, N., 2012. A study on the extensional-torsional response of a damaged flexible pipe, Proceedings of the ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering, ASME, Rio de Janeiro, Brazil.
Neto, A.G., de Arruda Martins, C., Malta, E.R., Tanaka, R.L. and Godinho, C.A.F., 2016. Simplified finite element models to study the dry collapse of straight and curved flexible pipes, Journal of Offshore Mechanics and Arctic Engineering, 138(2), 021701.
Neto, A.G., de Arruda Martins, C., Pesce, C.P., Meirelles, C.O.C., Malta, E.R., Neto, T.F.B. and Godinho, C.A.F., 2013. Prediction of burst in flexible pipes, Journal of Offshore Mechanics and Arctic Engineering, 135(1), 011401.
Ramos Jr., R. and Kawano, A., 2015. Local structural analysis of flexible pipes subjected to traction, torsion and pressure loads, Marine Structures, 42, 95–114.
Ren, S.F., 2015. Study on Cross-Sectional Mechanical Properties and Typical Failure Characteristics of Unbonded Flexible Risers, Ph.D. Thesis, Shanghai Jiao Tong University, Shanghai. (in Chinese)
Ren, S.F., Xue, H.X. and Tang, W.Y., 2016. Analytical and numerical models to predict the behavior of unbonded flexible risers under torsion, China Ocean Engineering, 30(2), 243–256.
Saevik, S. and Berge, S., 1995. Fatigue testing and theoretical studies of two 4 in flexible pipes, Engineering Structures, 17(4), 276–292.
Simulia, D.C.S., 2021. Abaqus Analysis User’s Manual, McGraw-Hill, New York.
Skeie, G., Sødahl, N. and Steinkjer, O., 2012. Efficient fatigue analysis of helix elements in umbilicals and flexible risers: theory and applications, Journal of Applied Mathematics, 2012, 246812.
Tang, M.G., Lu, Q.Z., Yan, J. and Yue, Q.J., 2016. Buckling collapse study for the carcass layer of flexible pipes using a strain energy equivalence method, Ocean Engineering, 111, 209–217.
Timoshenko, S. and Woinowsky-Krieger, S., 1959. Theory of Plates and Shells, second ed., McGraw-Hill College, New York.
Wang, K.P., Ji, C.Y., Xue, H.X. and Tang, W.Y., 2017. Fatigue damage study of helical wires in catenary unbonded flexible riser near touchdown point, Journal of Offshore Mechanics and Arctic Engineering, 139(5), 051701.
Witz, J.A., 1996. A case study in the cross-section analysis of flexible risers, Marine Structures, 9(9), 885–904.
Wu, S.H., Yang, Z.X., Yin, Y.C., Lu, Q.Z., Chen, J.L., Yue, Q.J., Yan, J. and Gao, B., 2021. Study on failure prediction methodology of flexible pipes under large torsion considering layer interaction, Journal of Offshore Mechanics and Arctic Engineering, 143(3), 031801.
Yoo, D.H., Jang, B.S. and Yim, K.H., 2017. Nonlinear finite element analysis of failure modes and ultimate strength of flexible pipes, Marine Structures, 54, 50–72.
Yoo, D.H., Jang, B.S. and Yun, R.H., 2019. A simplified multi-layered finite element model for flexible pipes, Marine Structures, 63, 117–137.
Zhang, X.J. and Chang, Z.Y., 2013. Advance of research of unbonded flexible risers, Applied Mechanics and Materials, 470, 1015–1019.
Zhu, X.H. and Lei, Q.L., 2019. Effect of axial compression and wet collapse loads on torsional response of flexible pipe, Arabian Journal for Science and Engineering, 44(12), 10397–10408.
Zhu, X.H., Lei, Q.L., Meng, Y. and Cui, X.X., 2021. Analysis of tensile response of flexible pipe with ovalization under hydrostatic pressure, Applied Ocean Research, 108, 102451.
Zuo, Y.D., 2013. A Numerical Model Research for Structural Analysis of the Unbounded Flexible Riser, MSc. Thesis, Dalian University of Technology, Dalian. (in Chinese)