Acknowledgement
This study was supported by the National Natural Science Foundation of China (Grants 51805522, 11672306, and 51490673), State Key Laboratory of Hydraulic Engineering Simulation and Safety (Tianjin University ) (Grant HESS1601), the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant XDB22020100), and the Informatization Plan of the Chinese Academy of Sciences (Grant XXH13506-204).
References
- Bai, X.L., Huang, W., Vaz, M.A., Yang, C., Duan, M., 2015. Riser-soil interaction model effects on the dynamic behavior of a steel catenary riser. Mar. Struct. 41, 53-76. https://doi.org/10.1016/j.marstruc.2014.12.003
- Brown, P.A., Soltanahmadi, A., Chandwani, R., 1989. Application of the finite difference technique to the analysis of flexible riser systems. In: Proceedings of the Fourth International Conference on Civil and Structural Engineering Computing, pp. 225-232.
- Burgess, J.J., 1991. Modeling of undersea cable installation with a finite difference method. In: Proceedings of First International Offshore and Polar Engineering Conference, pp. 222-227.
- Chang, P.Y., Lee, H.H., Tseng, G.W., Chung, P.Y., 2010. VFIFE method applied for offshore template structures upgraded with damper system. J. Mar. Sci. Technol. 18 (4), 473-483.
- Chatjigeorgiou, I.K., 2008. A finite differences formulation for the linear and nonlinear dynamics of 2D catenary risers. Ocean Eng. 35, 616-636. https://doi.org/10.1016/j.oceaneng.2008.01.006
- Chatjigeorgiou, I.K., 2010. Three dimensional nonlinear dynamics of submerged, extensible catenary pipes conveying fluid and subjected to end-imposed excitations. Int. J. Non Lin. Mech. 45 (7), 667-680. https://doi.org/10.1016/j.ijnonlinmec.2010.04.001
- Duan, Y.F., He, K., Zhang, H.M., Ting, E.C., Wang, C.Y., Chen, S.K., Wang, R.Z., 2014. Entire-process simulation of earthquake-induced collapse of a mockup cablestayed bridge by vector form intrinsic finite element (VFIFE) method. Adv. Struct. Eng. 17 (3), 347-360. https://doi.org/10.1260/1369-4332.17.3.347
- Duan, Y.F., Wang, S.M., Yau, J.D., 2019. Vector form intrinsic finite element method for analysis of train-bridge interaction problems considering the coach-coupler effect. Int. J. Struct. Stabil. Dynam. 19 (2), 1950014. https://doi.org/10.1142/S0219455419500147
- Garrett, D.L., 1982. Dynamic analysis of slender rods. J. Energ. Resour. 104 (4), 302-306. https://doi.org/10.1115/1.3230419
- Ghadimi, R., 1988. A simple and efficient algorithm for the static and dynamic analysis of flexible marine risers. Comput. Struct. 29 (4), 541-555. https://doi.org/10.1016/0045-7949(88)90364-1
- Hou, X.Y., Fang, Z.D., 2018. Solid structure analysis with large deformation of eightnode hexahedral element using vector form intrinsic finite element. Adv. Struct. Eng. 21 (6), 852-861. https://doi.org/10.1177/1369433217733761
- Hou, X.Y., Fang, Z.D., Zhang, X.J., Universit, N.P., 2018. Static contact analysis of spiral bevel gear based on modified VFIFE (vector form intrinsic finite element) method. Appl. Math. Model. 60, 192-207. https://doi.org/10.1016/j.apm.2018.03.021
- Jain, A.K., 1994. Review of flexible risers and articulated storage systems. Ocean Eng. 21 (8), 733-750. https://doi.org/10.1016/0029-8018(94)90049-3
- Lee, H.H., Tseng, K.W., Chang, P.Y., 2007. The Application of vector form intrinsic finite element method to template offshore structures. In: Computational Mechanics. Springer, Berlin.
- Li, X.M., Ma, J.F., Guo, H.Y., 2018a. Geometrical configuration and internal force analysis of steel catenary riser. Period. Ocean U. China. 48 (10), 116-122 (in Chinese).
- Li, X.M., Zhang, L., Niu, J.J., Han, Y.Q., Guo, H.Y., 2016. Dynamic response of a deepsea top tensioned riser based on vector form intrinsic finite element. J. Vib. Shock 35 (11), 218-223 (in Chinese).
- Li, X.M., Guo, X.L., Guo, H.Y., 2018b. Vector form intrinsic finite element method for the two-dimensional analysis of marine risers with large deformations. J. Ocean Univ. China 17 (3), 498-506. https://doi.org/10.1007/s11802-018-3340-1
- Lu, Z.G., Yao, J., 2012. Vector form intrinsic finite element - a new numerical method. Spatial Struct. 18 (1), 85-91 (in Chinese).
- McNamara, J.F., Hibbit, H.D., 1986. Numerical analysis of flexible pipes and risers in offshore applications. In: Proceedings of the First Offshore and Arctic Frontiers, pp. 343-352.
- McNamara, J.F., O'Brien, P.J., Gilroy, S.G., 1988. Nonlinear analysis of flexible risers using hybrid finite elements. J. Offshore. Mech. Arct. 110 (3), 197-204. https://doi.org/10.1115/1.3257051
- Owen, D.G., Qin, K., 1986. Model tests and analysis of flexible riser systems. In: Proceedings of the Fifth International Symposium on Offshore Mechanics and Arctic Engineering, pp. 133-145.
- Park, H.I., Jung, D.H., 2002. A finite element method for dynamic analysis of long slender marine structures under combined parametric and forcing excitations. Ocean Eng. 29 (11), 1313-1325. https://doi.org/10.1016/S0029-8018(01)00084-1
- Patel, M.H., Seyed, F.B., 1995. Review of flexible riser modelling and analysis techniques. Eng. Struct. 17 (4), 293-304. https://doi.org/10.1016/0141-0296(95)00027-5
- Raman-Nair, W., Baddour, R.E., 2003. Three-dimensional dynamics of a flexible marine riser undergoing large elastic deformations. Multibody Syst. Dyn. 10 (3), 393-423. https://doi.org/10.1023/A:1026213630987
- Sakamoto, T., Hobbs, R.E., 1995. Nonlinear static and dynamic analysis of threedimensional flexible risers. In: The Fifth International Offshore and Polar Engineering Conference, 11-16 June, Hague, Netherlands.
- Shih, C., Wang, Y.K., Ting, E.C., 2004. Fundamentals of a vector form intrinsic finite element: Part III. Convected material frame and examples. J. Mech. 20 (2), 133-143. https://doi.org/10.1017/S172771910000335X
- Ting, E.C., Shih, C., Wang, Y.K., 2004a. Fundamentals of a vector form intrinsic finite element: Part I. Basic procedure and a plane frame element. J. Mech. 20 (2), 113-122. https://doi.org/10.1017/S1727719100003336
- Ting, E.C., Shih, C., Wang, Y.K., 2004b. Fundamentals of a vector form intrinsic finite element: Part II. Plane solid elements. J. Mech. 20 (2), 123-132. https://doi.org/10.1017/S1727719100003348
- Ting, E.C., Duan, Y.F., Wu, T.Y., 2012. Vector Mechanics of Structures. Science Press, Beijing (in Chinese).
- Webster, W.C., Kim, J., Lambrakos, K., Jing, X.N., 2012. Rod dynamics with large stretch. Proceedings of the ASME 2012 31-st International Conference on Ocean. Offshore and Arctic Engineering, p. 83889.
- Wu, T.Y., 2013. Dynamic nonlinear analysis of shell structures using a vector form intrinsic finite element. Eng. Struct. 56, 2028-2040. https://doi.org/10.1016/j.engstruct.2013.08.009
- Wu, T.Y., Wang, C.Y., Chuang, C.C., Ting, E.C., 2007. Motion analysis of 3D membrane structures by a vector form intrinsic finite element. J. Chin. Inst. Eng. 30 (6), 961-976. https://doi.org/10.1080/02533839.2007.9671324
- Xiao, F.Q., 2012. The Spatial Configuration Analysis and the Fluid-Structure Coupling Mechanics of the Hose in Deep-Ocean Mining System. Central South University.
- Xu, L.G., Lin, M., 2017. Analysis of buried pipelines subjected to reverse fault motion using the vector form intrinsic finite element method. Soil Dynam. Earthq. Eng. 93, 61-83. https://doi.org/10.1016/j.soildyn.2016.12.004
Cited by
- openVFIFE: An Object-Oriented Structure Analysis Platform Based on Vector Form Intrinsic Finite Element Method vol.11, pp.11, 2020, https://doi.org/10.3390/buildings11110505
- Dynamic analysis of steel catenary riser on the nonlinear seabed using vector form intrinsic finite element method vol.241, 2020, https://doi.org/10.1016/j.oceaneng.2021.109982