According to the characteristics of submerged floating tunnel anchored by tension legs, simplifying the tube as point mass and assuming that the tension leg is a nonlinear beam model hinged at both ends, the nonlinear vibration equation of the tension leg is derived. The equation is solved by the Galerkin method and Runge-Kutta method. Subsequently, numerical analysis of typical submerged floating tunnel tension leg is carried out. It is shown that, the parametric vibration response of the submerged floating tunnel tension leg is related to the amplitude and frequency of the end excitation. Without considering axial resonance and transverse resonance, it is reasonable that higher order modes are abandoned and only the first three modes are considered. The axial resonance amplitude of the second or third order mode is equivalent to the first order mode axial resonance amplitude, which should not be ignored.
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Cantero, D., Rønnquist, A. and Naess, A., 2016. Recent studies of parametrically excited mooring cables for submerged floating tunnels, Procedia Engineering, 166, 99–106.
Cantero, D., Rønnquist, A. and Naess, A., 2017. Tension during parametric excitation in submerged vertical taut tethers, Applied Ocean Research, 65, 279–289.
Chamelia, D.M., Wardhana, W., Prastianto, R.W. and Sivianita, 2015. Dynamic response analysis on submerged floating tunnel due to hidrodynamic loads, Procedia Earth and Planetary Science, 14, 220–227.
Chao, CF., Xiang, Y.Q. and Yang, C., 2016. Experiments on dynamic fluid-structure coupled responses of anchor cables of submerged floating tunnel, Journal of Vibration and Shock, 35(3), 158–163. (in Chinese)
Chen, J.Y., Li, J., Sun, S.N. and Su, Z.B., 2012. Experimental and numerical analysis of submerged floating tunnel, Journal of Central South University, 19(10), 2949–2957.
Di Pilato, M., Feriani, A. and Perotti, F., 2008a. Numerical models for the dynamic response of submerged floating tunnels under seismic loading, Earthquake Engineering & Structural Dynamics, 37(9), 1203–1222.
Di Pilato, M., Perotti, F. and Fogazzi, P., 2008b. 3D dynamic response of submerged floating tunnels under seismic and hydrodynamic excitation, Engineering Structures, 30(1), 268–281.
Dong, M.S., Zhao, J.J., Niu, Z.R. and Geng, S.W., 2013. Dynamic response of submerged floating tunnel's anchor cable to random seismic excitation, Journal of Hefei University of Technology (Natural Science), 36(1), 74–78. (in Chinese)
Faggiano, B., Landolfo, R. and Mazzolani, F.M., 2001. Design and modelling aspects concerning the submerged floating tunnels, an application to the Messina strait crossing, in: Krokeborg J. (ed.), Strait Crossing 2001. LISSE, The Netherland, 511–519.
Han, S.M. and Benaroya, FL, 2000a. Non-linear coupled transverse and axial vibration of a compliant structure, part 1: Formulation and free vibration, Journal of Sound and Vibration, 237(5), 837–873.
Han, S.M. and Benaroya, H., 2000b. Non-linear coupled transverse and axial vibration of a compliant structure, part 2: forced vibration, Journal of Sound and Vibration, 237(5), 874–899.
Jin, C. and Kim, M.H., 2018. Time-domain hydro-elastic analysis of a SFT (Submerged Floating Tunnel) with mooring lines under extreme wave and seismic excitations, Applied Sciences, 8(12), 2386.
Lee, J.H., Seo, S.I. and Mun, H.S., 2016. Seismic behaviors of a floating submerged tunnel with a rectangular cross-section, Ocean Engineering, 127, 32–37.
Long, X., Ge, F., Wang, L. and Hong, Y.S., 2009. Effects of fundamental structure parameters on dynamic responses of submerged floating tunnel under hydrodynamic loads, Acta Mechanica Sinica, 25(3), 335–344.
Luo, G., Chen, J.X. and Zhou, X.J., 2015. Effects of various factors on the VIV-induced fatigue damage in the cable of submerged floating tunnel, Polish Maritime Research, 22(4), 76–83.
Ma, D.S. and Lei, Y.J., 2006. Numerical Computation Method, 2nd ed., China Machine Press, Beijing. (in Chinese)
Mai, J.T., Luo, Z.X. and Guan, B.S., 2004. Vortex-induced dynamic response of tension legs for submerged floating tunnel under current effect, Journal of Southwest Jiaotong University, 39(5), 600–604. (in Chinese)
Mandara, A., Russo, E., Faggiano, B. and Mazzolani, F.M., 2016. Analysis of fluid-structure interaction for a submerged floating tunnel, Procedia Engineering, 166, 397–404.
Muhammad, N., Ullah, Z. and Choi, D.H., 2017. Performance evaluation of submerged floating tunnel subjected to hydrodynamic and seismic excitations, Applied Sciences, 7(11), 1122.
Park, H.I. and Jung, D.H., 2002. A finite element method for dynamic analysis of long slender marine structures under combined parametric and forcing excitations, Ocean Engineering, 29(11), 1313–1325.
Patel, M.H. and Park, H.I., 1995. Combined axial and lateral responses of tensioned buoyant platform tethers, Engineering Structures, 17(10), 687–695.
Remseth, S., Leira, B.J., Okstad, K.M., Mathisen, K.M. and Haukås, T., 1999. Dynamic response and fluid/structure interaction of submerged floating tunnels, Computers & Structures, 72(4-5), 659–685.
Su, Z.B. and Sun, S.N., 2013. Seismic response of submerged floating tunnel tether, China Ocean Engineering, 27(1), 43–50.
Sun, S.N. and Su, Z.B., 2011. Parametric vibration of submerged floating tunnel tether under random excitation, China Ocean Engineering, 25(2), 349–356.
Xu, W.H., Zeng, X.H., Wu, Y.X. and Liu, J.Y., 2009. Coupled dynamic responses of the tension leg platform and tendon in deep-water, Journal of Vibration and Shock, 28(2), 145–150. (in Chinese)
Xu, W.H., Zeng, X.H. and Wu, Y.X., 2008. Nonlinear dynamic response of the tendon, The Ocean Engineering, 26(2), 11–16. (in Chinese)
Zhu, Y.R., 1991. Ocean Engineering Wave Mechanics, Tianjin University Press, Tianjin. (in Chinese)
Foundation item: This work was financially supported by the Research Fund of Liaocheng University (Grant No. 318011916) and the Natural Science Foundation of Shandong Province (Grant No. ZR2018BEE046).
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Sun, S., Su, Z., Feng, Y. et al. Parametric Vibration Analysis of Submerged Floating Tunnel Tension Legs. China Ocean Eng 34, 131–136 (2020). https://doi.org/10.1007/s13344-020-0013-9
- submerged floating tunnel
- tension leg
- parametric vibration
- numerical analysis