均匀流作用下悬浮隧道的涡激振动响应
Vortex-Induced Vibration Response of Submerged Floating Tunnel (SFT) under Uniform Flow
摘要: 为了研究均匀流中悬浮隧道的涡激振动响应，将悬浮隧道简化成一个两端支座处带有弹簧和阻尼的弹性支撑梁，建立悬浮隧道在涡激振动作用下的结构动力方程。通过伽辽金法和模态叠加法求解方程，利用Matlab工具数值模拟得到了悬浮隧道的时程位移图形。通过对悬浮隧道的时程位移图形分析获得涡激振动作用下水中悬浮隧道管体的动力特性，以弹性支撑的弹簧刚度和阻尼对其位移的影响作用。分析结果显示弹性支撑的阻尼和弹簧在降低悬浮隧道位移均起一定作用，但是弹簧刚度的作用要比阻尼系数要大。
Abstract: In order to analyze the dynamic response of submerged floating tunnel (SFT) in uniform flows under vortex-induced vibration (VIV), equations of motion control of SFT were derived by simplifying SFT as a beam with elastic bearings. The analytical solution was presented by using the Galerkin method and the modal superposition method. The displacement curves of SFT at the intermediate span were gained by using Matlab. The nonlinear vibration characteristics about SFT were analyzed. The results show that both damping and spring of the elastic bearings have a role in reducing the response displacement of SFT, while the effect of stiffness of spring on the SFT is greater than that of damping coefficient.
文章引用：董满生, 杨龙昌. 均匀流作用下悬浮隧道的涡激振动响应[J]. 力学研究, 2014, 3(1): 1-12. http://dx.doi.org/10.12677/IJM.2014.31001

参考文献

[1] Brancaleoni, F., Castellani, A. and D’Asdia, P. (1989) The response of submerged tunnels to their environment. Engineering Strutures, 1, 47-56.
[2] Remseth, S., Leira, B.J., Okstad, K.M., Mathisen, K.M. and Haukas, T. (1999) Dynamic response and fluid/structure interaction of submerged floating tunnels. Computers and Structures, 4, 659-685.
[3] de Langre, E. (2006) Frequency lock-in is caused by coupled-mode flutter. Journal of Fluids and Structures, 22, 783-791.
[4] Violette, R., de Langre, E. and Szydlowski, J. (2010) A linear stability approach to vortex-induced vibrations and waves. Journal of Fluids and Structures, 26, 442-466.
[5] Lu, W., Ge, F., Wang, L., Wu, X.D. and Hong, Y.S. (2011) On the slack phenomena and snap force in tethers of submerged floating tunnels under wave conditions. Marine Structures, 24, 358-376.
[6] Pang, M.J. and Wei, J.J. (2011) Analysis of drag and lift coefficient expressions of bubby flow system for low to medium Reynolds number. Nuclear Engineering and Design, 241, 2204-2213.
[7] Tariverdilo, S., Mirzapour, J., Shahmardani, M., Shabani, R. and Gheyretmand, C. (2011) Vibration of submerged floating tunnels due to moving loads. Applied Mathematical Modelling, 35, 5143-5425.
[8] 项贻强, 晁春峰 (2012) 悬浮隧道管体及锚索耦合作用的涡激动力响应. 浙江大学学报, 3, 409-415.
[9] Yau, J.D., Wu, Y.S. and Yang, Y.B. (2001) Impact response of bridges with elastics bearing to moving loads. Journal of Sound and Vibration, 248, 9-30.
[10] Biggs, J.M. (1964) Introduction to structural dynamics. McGraw-Hill, New York.
[11] Håvard, Ø. (2010) When is SFT competitive? Procedia Engineering, 4, 3-11.
[12] Srinil, N. and Zanganeh, H. (2012) Modelling of coupled cross-flow/in-line vortex-induced vibrations using double Duffing and vander Pol oscillators. Ocean Engineering, 53, 83-97.
[13] 陈健云, 孙胜男, 苏志彬 (2008) 水流作用下悬浮隧道锚索的动力响应. 工程力学, 10, 229-234.
[14] Long, X., Ge, F., Wang, L. and Hong, Y.S. (2009) Effects of fundamental structure parameters on dynamic reponses of submerged floating tunnel under hydrodynamic loads. Acta Mechanica Sinica, 25, 335-344.

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