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跨海特大型桥梁风-浪耦合作用的随机振动分析

刘高 陈上有 刘天成 王昆鹏

刘高, 陈上有, 刘天成, 王昆鹏. 跨海特大型桥梁风-浪耦合作用的随机振动分析[J]. 应用数学和力学, 2017, 38(1): 75-89. doi: 10.21656/1000-0887.370553
引用本文: 刘高, 陈上有, 刘天成, 王昆鹏. 跨海特大型桥梁风-浪耦合作用的随机振动分析[J]. 应用数学和力学, 2017, 38(1): 75-89. doi: 10.21656/1000-0887.370553
LIU Gao, CHEN Shang-you, LIU Tian-cheng, WANG Kun-peng. An Analysis Method for Wind-Wave Coupling Induced Random Vibration of Sea-Crossing Super-Large Bridges[J]. Applied Mathematics and Mechanics, 2017, 38(1): 75-89. doi: 10.21656/1000-0887.370553
Citation: LIU Gao, CHEN Shang-you, LIU Tian-cheng, WANG Kun-peng. An Analysis Method for Wind-Wave Coupling Induced Random Vibration of Sea-Crossing Super-Large Bridges[J]. Applied Mathematics and Mechanics, 2017, 38(1): 75-89. doi: 10.21656/1000-0887.370553

跨海特大型桥梁风-浪耦合作用的随机振动分析

doi: 10.21656/1000-0887.370553
基金项目: 国家高技术研究发展计划(863计划)(2007AA11Z101);交通运输十二五重大科技专项项目(2011318494150)
详细信息
    作者简介:

    刘高(1970—),男,教授级高级工程师,博士(通讯作者. E-mail: liugao77@vip.163.com).

  • 中图分类号: TU375.4

An Analysis Method for Wind-Wave Coupling Induced Random Vibration of Sea-Crossing Super-Large Bridges

Funds: The National Hightech R&D Program of China (863 Program)(2007AA11Z101)
  • 摘要: 考虑风-浪耦合场中风和波浪特征参数的相关性,建立了基于有限元法与边界元法联合分析的特大型桥梁风-浪耦合作用运动方程.其中,作用在大型深水基础上的波浪力采用势流理论和边界元法进行计算,并建立有限单元与边界元单元组的映射关系,将边界单元组上的波浪力映射到结构有限单元上;作用在桥梁上的气动力通过有限元法进行计算,包括由脉动风激发的非定常抖振力和由气弹相互作用产生的自激力.在此基础上,基于随机振动分析的高效算法——虚拟激励法,建立了计算桥梁风-浪耦合作用响应的分析方法.最后,针对某跨海超大跨桥梁方案进行研究,结果表明:与风致响应相比,风-浪耦合作用下桥梁深水基础内力显著增大,其中波浪激发的侧向剪力占主导地位,波浪激发的侧向弯矩在海床附近与风致响应基本相当,但在海床以下更大;斜风-波浪耦合作用下的主梁内力响应和深水基础内力响应比正交风-波浪耦合作用下的结果更大.因此,在跨海桥梁设计中,必须考虑风-浪耦合作用效应.
  • [1] 张喜刚, 刘高, 马军海, 等. 中国桥梁技术的现状与展望[J]. 科学通报, 2016,61(4/5): 415-425.(ZHANG Xi-gang, LIU Gao, MA Jun-hai, et al. Status and prospect of technical development for bridges in China[J]. Chinese Science Bulletin,2016,61(4/5): 415-425.(in Chinese))
    [2] 唐寰澄. 世界著名海峡交通工程[M]. 北京: 中国铁道出版社, 2004.(TANG Huan-cheng. The World Famous Traffic Engineering of the Strait [M]. Beijing: China Railway Publishing House, 2004.(in Chinese))
    [3] 项海帆, 葛耀君, 陈艾荣, 等. 现代桥梁抗风理论与实践[M]. 北京: 人民交通出版社, 2005.(XIANG Hai-fan, GE Yao-jun, CHEN Ai-rong, et al. Modern Theory and Practice on Bridge Wind Resistance [M]. Beijing: China Communications Press, 2005.(in Chinese))
    [4] 刘高, 林家浩, 王秀伟. 考虑全桥耦合的大跨斜拉桥抖振内力分析[J]. 大连理工大学学报, 2004,43(4): 479-483.(LIU Gao, LIN Jia-hao, WANG Xiu-wei. Buffeting-induced structural internal force analysis for long-spam cable-stayed bridges based on entire-bridge model[J]. Journal of Dalian University of Technology,2004,43(4): 479-483.(in Chinese))
    [5] 李玉成, 滕斌. 波浪对海上建筑物的作用[M]. 第3版. 北京:海洋出版社, 2015.(LI Yu-cheng, TENG Bin. Wave Action on Maritime Structures [M]. 3rd ed. Beijing: Chinese Ocean Press, 2015.(in Chinese))
    [6] 俞聿修, 柳淑学. 随机波浪及其工程应用[M]. 第4版. 大连: 大连理工大学出版社, 2011.(YU Yu-xiu, LIU Shu-xue. Random Wave and Its Applications for Engineering [M]. 4th ed. Dalian: Dalian University of Technology Press, 2011.(in Chinese))
    [7] 柳淑学, 李玉成. 杭州湾大桥工程桥梁基础波浪力模型试验研究报告[R]. 大连: 海岸和近海工程国家重点实验室 (大连理工大学), 2003.(LIU Shu-xue, LI Yu-cheng. The research report on the wave force model of the Hangzhou Bay Bridge foundation[R]. State Key Laboratory of Coastal and Offshore Engineering (Dalian University of Technology), 2003.(in Chinese))
    [8] 周益人, 潘军宁, 王登婷. 港珠澳大桥桥梁基础波流力试验专题研究报告[R]. 南京: 南京水利科学研究院, 2009.(ZHOU Yi-ren, PAN Jun-ning, WANG Deng-ting. The thematic studies on the wave force model of the Hong Kong-Zhuhai-Macao Bridge foundation[R]. Nanjing: Nanjing Hydraulic Research Institute, 2009.(in Chinese))
    [9] 刘高. 台风浪耦合作用下跨海峡桥梁动力模拟及防灾减灾技术研究[R]. 北京: 中交公路规划设计院有限公司, 2010.(LIU Gao. The study on the dynamic simulation of crossing-sea bridge under the typhoon-wave coupling and the disaster-prevention technology[R]. Beijing: CCCC Highway Consultants Co Ltd, 2010.(in Chinese))
    [10] 刘高. 特大型桥梁风-浪-流耦合作用研究[R]. 北京: 中交公路规划设计院有限公司, 2015.(LIU Gao. The study on the wind-wave-current coupling of the super-large bridge[R]. Beijing: CCCC Highway Consultants Co Ltd, 2015.(in Chinese))
    [11] LIU Gao, LIU Tian-cheng, GUO An-xin, et al. Dynamic elastic response testing method of bridge structure under wind-wave-current action[C]//Proceedings of the Twenty-Fifth (2015) International Ocean and Polar Engineering Conference . Kona, Big Island, Hawaii, USA, 2015: 1377-1385.
    [12] CHEN Shang-you, LIU Gao, LIU Tian-cheng, et al. Dynamic analysis of bridge tower under wind and wave action[C]// Proceedings of the Twenty-Fifth (〖STBX〗2015) International Ocean and Polar Engineering Conference . Kona, Big Island, Hawaii, USA, 2015: 1470-1477.
    [13] LIU Tian-cheng, LIU Gao, CHEN Shang-you, et al. Numerical study of wave-current coupling action on bridge structure[C]// Proceedings of the Twenty-Third (〖STBX〗2013) International Ocean and Polar Engineering Conference . Anchorage, Alaska, USA: Anchorage Convention Center, 2013: 1300-1307.
    [14] CHENG Qian, LIU Gao, WU Hong-bo, et al. Numerical simulation of typhoon waves in waters of Qiongzhou Strait[C]// Proceedings of the Twenty-Fifth (〖STBX〗2015) International Ocean and Polar Engineering Conference . Kona, Big Island, Hawaii, USA, 2015: 1117-1122.
    [15] Zhu L D, Xu Y L. Buffeting response of long-span cable-supported bridges under skew winds. Part 1: theory[J]. Journal of Sound and Vibration,2005,281(3/5): 647-673.
    [16] LIN Jia-hao, ZHANG Wen-shou, LI Jian-jun. Structural responses to arbitrarily coherent stationary random excitations[J]. Computers & Structures,1994,50: 629-633.
    [17] 林家浩, 张亚辉. 随机振动的虚拟激励法[M]. 北京: 科学出版社, 2004.(LIN Jia-hao, ZHANG Ya-hui. Pseudo Excitation Method in Random Vibration [M]. Beijing: Science Press, 2004.(in Chinese))
    [18] 林家浩, 钟万勰. 辛数学·精细积分·随机振动及应用[M]. 合肥: 中国科学技术大学出版社, 2008.(LIN Jia-hao, ZHONG Wan-xie. Symplectic Mathematics, Precise Integration, Random Vibration and Applications [M]. Hefei: University of Science and Technology of China Press, 2008.(in Chinese))
    [19] 刘高. 琼州海峡主跨2×1 500 m三塔斜拉桥风洞试验研究[R]. 北京: 中交公路规划设计院有限公司, 2015.(LIU Gao. The wind tunnel test of the main span 2×1 500 m on the cable-stayed bridge[R]. Beijing: CCCC Highway Consultants Co Ltd, 2010.(in Chinese))
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出版历程
  • 收稿日期:  2016-12-17
  • 修回日期:  2016-12-23
  • 刊出日期:  2017-01-15

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