理想流体层中悬浮隧道管体动水荷载研究-P波
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摘要
针对理想流体层中的悬浮隧道管体及锚索体系,借助波动方程理论对平面P-波作用下的悬浮隧道,通过引入其管体只在竖直方面上运动和产生刚体位移而不发生变形以及只考虑海水和管体质量产生的动力效应等假定,同时考虑管体上下部海水和锚索刚度及间距的影响,导出了在理想流体层中悬浮隧道管体受到的动水荷载的计算方程组和边界条件。结合一座典型的悬浮隧道,通过参数研究,分析了上部海水厚度h,P-波频率值ω,入射角度α,锚索刚度Kc和锚索间距L对动水荷载值的影响,结果表明:上部海水的存在有利于减小动水荷载值,P波频率值与海水频率一致时将产生共振,入射角度的增大会大幅减小动水荷载值,较小的锚索刚度和较大的锚索间距也会减小动水荷载值。
For the tube and cables of a submerged floating tunnel(SFT)in an ideal fluid layer,it is assumed that the tube can only move in the vertical direction without deformation,and the dynamic effect generated by a mass is the major factor.The equations and boundary conditions to calculate the hydrodynamic load on the SFT tube in the ideal fluid layer under the earthquake P-wave are derived with the wave theory,considering the influence of the upper and nether water and the stiffness and spacing of cables.By the parameter study,the affection of the upper seawater thickness h,the P-wave frequency valueωand incident angleα,the cable stiffness Kc and the spacing L to the value of hydrodynamic load have been analyzed.The results show that the existence of the upper seawater can reduce the value of hydrodynamic load,the resonance will occur when the P-wave frequency is the same to the seawater frequency,the increase of incident angle will substantially reduced the value of hydrodynamic load as well as the smaller stiffness and larger spacing of cables.
For the tube and cables of a submerged floating tunnel(SFT)in an ideal fluid layer,it is assumed that the tube can only move in the vertical direction without deformation,and the dynamic effect generated by a mass is the major factor.The equations and boundary conditions to calculate the hydrodynamic load on the SFT tube in the ideal fluid layer under the earthquake P-wave are derived with the wave theory,considering the influence of the upper and nether water and the stiffness and spacing of cables.By the parameter study,the affection of the upper seawater thickness h,the P-wave frequency valueωand incident angleα,the cable stiffness Kc and the spacing L to the value of hydrodynamic load have been analyzed.The results show that the existence of the upper seawater can reduce the value of hydrodynamic load,the resonance will occur when the P-wave frequency is the same to the seawater frequency,the increase of incident angle will substantially reduced the value of hydrodynamic load as well as the smaller stiffness and larger spacing of cables.
引文
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[2]项贻强,薛静平.悬浮隧道在国内外的研究[J].中外公路,2002,22(6):49—52.
[3]项贻强,晁春峰.悬浮隧道管体及锚索耦合作用的涡激动力响应[J].浙江大学学报:工学版,2012,46(3):409—415.
[4]项贻强,张科乾.基于Morison方程分层积分计算悬浮隧道的波浪力[J].浙江大学学报:工学版,2011(8):1399—1404.
[5]葛斐,惠磊,洪友士.水中悬浮隧道锚索的非线性涡激振动研究[J].中国公路学报.2007,6(20):85—89.
[6]葛斐,董满生,惠磊,等.水中悬浮隧道锚索在波流场中的涡激动力响应[J].工程力学,2006,I(增刊23):217—221.
[7]Morita S,Yamashita T,Mizuno Y,et al.Earthquake response analysis of submerged floating tunnels considering water compressibility[G]//Pro-ceedings of the Forth(1994)International Offshore and Polar Engineering Conference,April 10—15,1994,Osaka,Japan,[sl]:ISOPE,1994:20—26.
[8]Remseth Svein,Leira Bernt J,Okstad Knut M,et al.Dynamic response and fluid/structure interaction of submerged floating tunnels[J].Comput-ers and Structures,1999,(72):659—685.
[9]陈建云,孙胜男.海底岩土性质对悬浮隧道所受动水压力的影响——P波[J].自然科学进展,2007,17(1):79—85.
[10]孙胜男,陈建云.地震下悬浮隧道所受动水压力研究——SV波[J].防灾减灾工程学报,2006,26(4):425—430.
[11]孙胜男,陈建云.海底锚固悬浮隧道所受动水压力研究——P波[J].哈尔滨工业大学学报,2008,40(8):1292—1296.
[12]杨桂通,张善元.弹性动力学[M].北京:中国铁道出版社,1988:73—75,110—111.
[13]考尔斯基H.固体中的应力波[M].王仁等译.北京:科学出版社,1958:12—13.
[14]邱大洪.波浪理论及其在工程中的应用[M].北京:高等教育出版社,1985:14.
[15]王进廷,金峰,张楚汉.位于弹性半空间上的理想流体层动力反应——平面P波入射[J].工程力学,2003,20(6):12—17.
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