张力腿悬浮隧道的动力学模型和自振特性
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摘要
建立了张力腿悬浮隧道在外荷载下的面内动力学方程并进行了结构自振特性的分析。将悬浮隧道沿跨径方向视为一系列支撑拉索和管体组成,其中拉索和管体分别在局部坐标系和整体坐标系中考虑,通过Morison方程考虑流体作用于构件上的升力和拖拽力。采用Hamilton原理建立各个构件的动力学方程,组合得到整体结构的动力学模型。由对应的线性无阻尼自由振动方程确定构件模态函数的形式,再结合各构件的边界条件和匹配条件可得用于求解频率和模态的特征方程。经有限元法对比验证,该方法可有效获取悬浮隧道各种振动形式的频率和模态;算例分析表明各阶次频率十分密集,索局部振动、结构整体振动同时依次存在于频率谱上。
引文
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[2]孙胜男.悬浮隧道动力响应分析[D].大连理工大学博士学位论文,2008.
[3]董满生,葛斐,惠磊,等.水中悬浮隧道研究进展[J].中国公路学报,2007(4).
[4]项贻强,薛静平.悬浮隧道在国内外的研究[J].中外公路,2002(6).
[5]项贻强,陈政阳,杨赢.悬浮隧道动力响应分析方法及模拟的研究进展[J].中国公路学报,2017(1).
[6]麦继婷,杨显成,关宝树.波流作用下张力腿悬浮隧道的响应分析[J].中外公路,2008(1).
[7]Yan H S,Luo Y Q,Yu J X.Dynamic Response of Submerged Floating Tunnel in the Flow Field[J].Procedia Engineering,2016,166:107-117.
[8]秦银刚,周晓军.洋流作用下悬浮隧道的混沌行为分析[J].铁道学报,2010(4).
[9]秦银刚,周生国,周晓军.多跨悬浮隧道合理支撑间距分析[J].铁道工程学报,2008(3).
[10]Long X,Ge F,Wang L,et al.Effects of Fundamental Structure Parameters on Dynamic Responses of Submerged Floating Tunnel under Hydrodynamic Loads[J].Acta Mechanica Sinica,2009,25(3):335-344.
[11]Long X,Ge F,Hong Y S.Feasibility Study on Buoyancy-Weight Ratios of a Submerged Floating Tunnel Prototype Subjected to Hydrodynamic Loads[J].Acta Mechanica Sinica,2015,31(5):750-761.
[12]Jiang S P,Li Q X,Li J J,et al.Research on Risk Sensitivity of Submerged Floating Tunnel Based on Analytic Hierarchy Process[J].Procedia Engineering,2016,166:255-265.
[13]项贻强,林亨,陈政阳.移动荷载作用下悬浮隧道动力响应分析[J].振动与冲击,2018(4).
[14]董满生,张嫄,唐飞,等.等间距移动荷载作用下水中悬浮隧道管体的位移响应[J].应用力学学报,2016(5).
[15]Jiang B L,Liang B.Study on the Main Influence Factors of Traffic Loads in Dynamic Response of Submerged Floating Tunnels[J].Procedia Engineering,2016,166:171-179.
[16]Lin H,Xiang Y Q,Yang Y,et al.Dynamic Response Analysis for Submerged Floating Tunnel Due to FluidVehicle-Tunnel Interaction[J].Ocean Engineering,2018,166:290-301.
[17]Xiang Y Q,Chen Z Y,Yang Y,et al.Dynamic Response Analysis for Submerged Floating Tunnel with Anchor-Cables Subjected to Sudden Cable Breakage[J].Marine Structures,2018,59:179-191.
[18]罗刚,潘少康,周晓军,等.水下非接触爆炸冲击作用下悬浮隧道动力响应[J].中国公路学报,2018(6).
[19]Wu Z W,Ni P P,Mei G X.Vibration Response of Cable for Submerged Floating Tunnel under Simultaneous Hydrodynamic Force and Earthquake Excitations[J].Advances in Structural Engineering,2018,21(11):1 761-1 773.
[20]Wu Z W,Liu J K,Liu Z Q,et al.Parametrically Excited Vibrations of Marine Riser under Random Wave Forces and Earthquake[J].Advances in Structural Engineering,2016,19(3):449-462.
[21]Dong M S,Miao G P,Yong L C,et al.Effect of Escape Device for Submerged Floating Tunnel(SFT)on Hydrodynamic Loads Applied to SFT[J].Journal of Hydrodynamics,2012,24(4):609-616.
[22]罗刚,石研玉,申奇,等.水中悬浮隧道锚索横向动力特性分析[J].长安大学学报:自然科学版,2012(3).
[23]Sun S N,Su Z B.Parametric Vibration of Submerged Floating Tunnel Tether under Random Excitation[J].China Ocean Engineering,2011,25(2):349.
[24]Su Z B,Sun S N.Seismic Response of Submerged Floating Tunnel Tether[J].China Ocean Engineering,2013,27(1):43-50.
[25]Yan H S,Yuan Y,Yu J X.Fatigue Reliability Analysis of Cable Considering Corrosion[J].Procedia Engineering,2016,166:127-135.
[26]Gattulli V,Lepidi M.Localization and Veering in the Dynamics of Cable-Stayed Bridges[J].Computers and Structures,2007,85(21-22):1 661-1 678.