洋流作用下水中悬浮隧道失稳判据的研究
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摘要
根据水下悬浮隧道的主要特征,将水下悬浮隧道管段简化为两端简支梁力学模型。从水中悬浮隧道受力状态分析,推导了圆形截面形式悬浮隧道在涡激力作用下,做垂直于来流方向振动的微分方程。采用平均法对振动微分方程求解,得到了悬浮隧道在定常流状态下的幅频关系。建立定常振幅失稳的双尖点突变模型,导出了其失稳判据。根据失稳判据确定了在其他条件不变的情况下洋流的临界流速。研究结果表明,水下悬浮隧道的失稳不仅取决于洋流速度和涡泄频率,而且还与悬浮隧道结构尺寸、材料性质等有关。
A submerged floating tunnel can be simplified as an Euler-Bernulli beam model and simply-supported at both ends according to its main characteristics.Vibration differential equation for the SFT with circular cross-section under the action of vortex-excited forces with its motion perpendicular to the current direction can be deducted by analyzing the submerged floating tunnel's behavior.The system's amplitude-frequency relation under invariable condition can be acquired by using the average method to solve the vibration differential equation.The unstability criteria have been worked out by establishing the catastrophic model of double cusp for the unstability of the amplitude under invariable condition.The critical safety velocity of the current has been confirmed according to the unstability criterion.Research results indicated that the unstability of the SFT is not only dependent on the velocity of the sea current and the vortex releasing frequency,but also related to SFT's structural seizes and material properties..
A submerged floating tunnel can be simplified as an Euler-Bernulli beam model and simply-supported at both ends according to its main characteristics.Vibration differential equation for the SFT with circular cross-section under the action of vortex-excited forces with its motion perpendicular to the current direction can be deducted by analyzing the submerged floating tunnel's behavior.The system's amplitude-frequency relation under invariable condition can be acquired by using the average method to solve the vibration differential equation.The unstability criteria have been worked out by establishing the catastrophic model of double cusp for the unstability of the amplitude under invariable condition.The critical safety velocity of the current has been confirmed according to the unstability criterion.Research results indicated that the unstability of the SFT is not only dependent on the velocity of the sea current and the vortex releasing frequency,but also related to SFT's structural seizes and material properties..
引文
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[2]L.C.F.Ingerslev.Water Crossings The Options[J].Tunneling and Underground Space Technology,1998,13(4):357～363
[3]Submerged floating tunnel prosposed to connect Kansai,Kobe airports[J].Tunnelling and Underground space technology,Volume11,Number4,1996,511～513
[4]Submerged floating tunnels:a concept whose time has arrived[J].Tunnelling and Underground space technology,Volume11,Number4,1996,505～510
[5]Svein Remseth,bernt J.leira,Knut M.Okstad,Kjell M.Mathisen,Terje HauKas.Dynamic response and fluid/structure interaction of submerged floating tunnels[J].computers&structures1999,(72):659～685
[6]Hiroshi Kunisu,Susumu Mizuno,Yuzo Mizuno,Hiroshi Saeki.Study on submerged floating tunnel characteristics under the wave condition[C].proceeding of the fourth(1994)international offshore and polar engineering conference Osaka,Japan April10-151994,27～32
[7]P.Fogazzi and F.Perotti.The dynamic response of seabed anchored floating tunnels under seismic excitation[J].earthquake engineering and structural dynamics2000,(29):273～295
[8]M.Sto,S.Kanie&T.Mikami,T.Yaginuma,H.Hamaguchi.Modeling of submerged floating tunnel as a beam on elastic foundation under bending vibration[C].Strait crossing2001.Krokeborg2001,535～540
[9]Katta Venkataramana,Susumu Yoshihara,Shozo Toyoda and Yorikazu Aikou.Current-Induced Vibrations of Submerged Floating Tunnels[C]proceeding of the sixth(1996)international offshore and polar engineering conference(1996)Las Angeles,USA,May21～311996,111～118
[10]麦继婷.波流作用下悬浮隧道的响应研究[D].成都:西南交通大学,2005Mai Jiting,Yang Xiancheng,Guan Baoshu.The response analysis of a submerged floating tunnel subjected to the action of water flow[J].Modern Tunnelling Technology,2005,42(4):25～31
[11]麦继婷,杨显成,关宝树.水流作用下悬浮隧道的响应分析[J].现代隧道技术,2005,42(4):25～31Mai Jiting,Yang Xiancheng,Guan Baoshu.The response analysis of a submerged floating tunnel subjected to the action of water flow[J].Modern Tunnelling Technology,2005,42(4):25～31
[12]麦继婷,杨显成,关宝树.悬浮隧道在波浪作用下的动力响应分析[J].铁道工程学报,2007,3(102):45～49Mai Jiting,Yang Xiancheng,Guan Baoshu.Dynamic Response Analysis of the Submerged Floating Tunnel Subjected to Wave[J].Journal of Railway Engineering Society,2007,3(102):45～49
[13]谢立广,周晓军,杨群.水中悬浮隧道管段接头的力学特性分析[J].现代隧道技术,2008,45(4):32～38Xie Liguang,Zhou Xiaojun,Yang Qun.Analysis on Mechanical Behavior of Tube Joints of a Submerged Floating Tunnel[J].Modern Tunnelling Technology,2008,45(4):32～38
[14]孙胜男,陈健云.地震下悬浮隧道所受动水压力研究——SV波[J].防灾减灾程学报,2006,11(4):425～430Sun Shengnan,Chen Jianyun.Hydrodynamic Pressure on Submerged Floating Tunnel under the Earthquake-SV Wave[J].Journal of Disaster Prevention and Mitigation Engineering,2006,11(4):425～430
[15]C.A brebbia,S.Walker.Dynamic analysis of offshore structures[M].London:News Butterworths,1979
[16]缪国平.挠性部件力学导论[M].上海:上海交通大学出版社,1983Miu Guoping.Introduction to Mechanics of the Flexible Components[M].Shanghai:Shanghai Jiao Tong University Press,1983
[17]林建忠,阮晓东,陈邦国,王建平,周洁,任安禄.流体力学[M].北京:清华大学出版社,2005Lin Jianzhong,Ruan Xiaodong,Chen Bangguo,Wang Jianping,Zhou Jie,Ren Anlu.Hydrodynamics[M].Beijing:Tsinghua University Press,2005
[18]杨绍普,申永军.非线性系统的分岔与奇异性[M].北京:科学出版社,2003Yang Shaopu,Shen Yongjun.The Bifurcation and Strangeness of Nonlinear System[M].Beijing:Science Press,2003
[19]凌复华.突变理论及其应用[M].上海:上海交通大学出版社,1987Ling Fuhua.The Catastrophic Theory and Its Application[M].Shanghai:Shanghai Jiao Tong University Press,1987
[20]高普云.非线性动力学[M].长沙:国防科技大学出版社,2005Gao Puyun.The Nonlinear Dynamics[M].Changsha:National University of Defense Technology Press,2005
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