Non-Linear Free Vibration of Submerged Floating Tunnel Tether

Abstract:

Taking the free vibration system of a submerged floating tunnel tether as research object, the non-linear free vibration equation was set up. By means of Galerkin method, the partial differential equation was transformed into a set of ordinary ones. The damping ratios of the first four modes were obtained after complex eigenvalue analysis. Subsequently, effects of inclination, sag, initial tension force and length of tether on its modal damping ratios were analyzed. The results show that inclination and sag of tether merely affect the damping ratio of first in-plane mode; they have no effect on the damping ratios of higher order in-plane modes and out of plane modes; the first in-plane modal damping ratio of tether is in direct proportion to its inclination, whereas in inverse proportion to its sag; the first modal damping ratio of tether (both in-plane and out of plane) is in direct proportion to its length, whereas in inverse proportion to its initial tension.

• Periodical: Applied Mechanics and Materials (Volumes 580-583)
• Pages: 1388-1391
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.580-583.1388
• Online since: July 2014
• Authors: Zhi Bin Su, Sheng Nan Sun*
• Keywords: Initial Tension, Non-Linear Free Vibration, Sag, Submerged Floating Tunnel, Tether

References

[1] Ge, F., Dong, M. S., Hui, L. and Hong, Y. S., Vortex-induced vibration of submerged floating tunnel tethers under wave and current effects [J], Engineering Mechanics, 2006, 23(S1): 217~221. (in Chinese).

[2] Chen, J. Y., Sun, S. N. and Wang, B. G., Dynamic analysis for the tether of submerged floating tunnel, Chinese Journal of Computational Mechanics, 2008, 25(4): 488~493. (in Chinese).

[3] Ge Fei, Long Xu, Wang Lei, Hong Youshi. Study of vortex-induced vibration of submerged floating tunnel tube-tether coupled model [J]. China Journal of Highway and Transport, 2009, 22(3): 83-88. (in Chinese).

[4] Luo, G., Shi, Y. Y., Shen, Q. and Li, H., Lateral dynamic characteristics analysis for cable of submerged floating tunnel in water [J] , Journal of Changan University, 2012, 32(3): 73~78. (in Chinese).

[5] Xiang, Y. Q. and Chao, C. F., Vortex-induced dynamic response for combined action of tube and cable of submerged floating tunnel [J], Journal of Zhejiang University, 2012, 46(3): 409~415. (in Chinese).

[6] Irvine, H. M., Cable structures. Cambridge: Massachusetts Institute of Architectural and Civil Engineering [M], (1981).

[7] Faggiano B, Landolfo R and Mazzolani F M. Design and modelling aspects concerning the submerged floating tunnels: an application to the Messina strait crossing [C]/ Krobeborg. Strait Crossing 2001. Swets & Zeitlinger Publishers Lisse, 2001: 511-519.