SHI Jun, XU Lueqin, LU Xiaoluo. A Simplified Analysis Method for Seismic Responses of Floating-System Cable-stayed Bridges With Viscous Dampers[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1335-1344. doi: 10.21656/1000-0887.400045
Citation: SHI Jun, XU Lueqin, LU Xiaoluo. A Simplified Analysis Method for Seismic Responses of Floating-System Cable-stayed Bridges With Viscous Dampers[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1335-1344. doi: 10.21656/1000-0887.400045

A Simplified Analysis Method for Seismic Responses of Floating-System Cable-stayed Bridges With Viscous Dampers

doi: 10.21656/1000-0887.400045
Funds:  The National Key R&D Program of China(2016YFC0802206-3)
  • Received Date: 2019-01-20
  • Publish Date: 2019-12-01
  • In view of the deficiencies of the existing viscous damper parameter design methods for floating-system cable-stayed bridges, a more efficient and effective analysis method was proposed. Based on the pendulum principle, a double-mass model was used for simplified simulation of the dynamic response characteristics of floating-system cable-stayed bridges. Meanwhile, an equivalent linear model for viscous dampers was proposed according to the principle of energy equivalence. Finally, a simplified analysis method for seismic responses of floating-system cable-stayed bridges with viscous dampers was established based on the principle of structural dynamics. On this basis, a full-bridge numerical model was established for a cable-stayed bridge with a main span of 392 m. Under the action of sine waves, calculation errors of the full-bridge numerical model, the double-mass analytical model and the double-mass numerical model were compared in detail. The results show that, the double-mass numerical solution has high calculation accuracy, and can replace the full-bridge numerical solution; the double-mass analytical solution agrees well with the double-mass numerical solution, which verifies the theoretical reliability of the simplified double-mass analysis method. Calculation errors of the 3 models meet the engineering accuracy requirements under different ground motion characteristics and system periods, indicating that the proposed simplified analysis method has good applicability and provides a more efficient way for damper parameter optimization.
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  • [1]
    韩振峰, 叶爱君. 千米级斜拉桥的纵向减震体系研究[J]. 地震工程与工程振动, 2015,35(6): 64-70.(HAN Zhenfeng, YE Aijun. Research on the longitudinal earthquake-reduction system of cable-stayed bridges over kilometers[J]. Earthquake Engineering and Engineering Vibration,2015,35(6): 64-70.(in Chinese))
    徐略勤, 刘津成, 刘营, 等. 独塔宽幅斜拉桥基于能力需求比的抗震性能评估[J]. 桥梁建设, 2016,46(4): 11-16.(XU Lueqin, LIU Jincheng, LIU Ying, et al. Seismic performance assessment of cable-stayed bridge with single pylon and wide deck based on capacity demand ratio method[J]. Bridge Construction,2016,46(4): 11-16.(in Chinese))
    ZHU J, ZHANG W, ZHENG K F, et al. Seismic design of a long-span cable-stayed bridge with fluid viscous dampers[J]. Practice Periodical on Structural Design and Construction,2016,21(1): 1-11.
    王志强, 胡世德, 范立础. 东海大桥粘滞阻尼器参数研究[J]. 中国公路学报, 2005,18(3): 37-42.(WANG Zhiqiang, HU Shide, FAN Lichu. Research on viscous damper parameters of Donghai bridge[J]. China Journal of Highway and Transport,2005,18(3): 37-42.(in Chinese))
    杨德健, 耿辰, 宋佳楠. 基于多点激励下黏滞阻尼器在斜拉桥中的减震效果分析[J]. 世界地震工程, 2015,31(2): 34-42.(YANG Dejian, GENG Chen, SONG Jianan. Multipoint excitation-based vibration effect analysis of viscous dampers in cable-stayed bridge[J]. World Earthquake Engineering,2015,31(2): 34-42.(in Chinese))
    HWANG J S, TSENG Y S. Design formulations for supplemental viscous dampers to highway bridges[J]. Earthquake Engineering & Structural Dynamics,2010,34(13): 1627-1642.
    叶爱君. 径向基函数(RBF)神经网络在桥梁减震设计中的应用仿真[J]. 系统仿真技术, 2006,2(1): 31-37.(YE Aijun. The application of RBF neural network to seismic design of bridges[J]. System Simulation Technology,2006,2(1): 31-37.(in Chinese))
    孙传智, 李爱群, 缪长青, 等. 减震结构粘滞阻尼器参数优化分析[J]. 土木建筑与环境工程, 2013,35(1): 80-85.(SUN Chuanzhi, LI Aiqun, MIAO Changqing, et al. Parameter optimization analysis of viscous dampers for dissipation structure[J]. Civil Engineering and Environmental Engineering,2013,35(1): 80-85.(in Chinese))
    袁万城, 闫冬. 斜拉桥纵飘频率简化计算方法[J]. 同济大学学报(自然科学版), 2005,33(11): 1423-1427.(YUAN Wancheng, YAN Dong. Simplified calculational method of floating frequency for cable-stayed bridges[J]. Journal of Tongji University (Natural Science),2005,33(11): 1423-1427.(in Chinese))
    张文学, 寇文琦, 陈盈, 等. 基于双质点模型斜拉桥纵向一阶自振周期计算[J]. 桥梁建设, 2016,46(3): 98-102.(ZHANG Wenxue, KOU Wenqi, CHEN Ying, et al. Calculation of first-order longitudinal natural vibration periods of cable-stayed bridges based on double-mass-point models[J]. Bridge Construction,2016,46(3): 98-102.(in Chinese))
    FEMA. Guidelines and commentary for the seismic rehabilitation of buildings: FEMA report 273[R]. The Building Seismic Safety Council, 1997.
    罗骁, 张新燕, 张珺, 等. 基于谐波平衡法的尾流激励的叶片振动降阶模型方法[J]. 应用数学和力学, 2018,39(8): 892-899.(LUO Xiao, ZHANG Xinyan, ZHANG Jun, et al. A reduced-order model method for blade vibration due to upstream wake based on the harmonic balance method[J]. Applied Mathematics and Mechanics,2018,39(8): 892-899.(in Chinese))
    KRAMER S L. Geotechnical Earthquake Engineering [M]. New Jersey: Prentice Hall, 1996.
    叶爱君, 胡世德, 范立础. 超大跨度斜拉桥的地震位移控制[J]. 土木工程学报, 2004,37(12): 38-43.(YE Aijun, HU Shide, FAN Lichu. Seismic displacement control for super-long-span cable-stayed bridges[J]. China Civil Engineering Journal,2004,37(12): 38-43.(in Chinese))
    邓育林, 雷凡, 何雄君. 地震作用下大跨斜拉桥主桥与多联引桥伸缩缝处连锁碰撞效应研究[J]. 土木工程学报, 2015,48(2): 87-95.(DENG Yulin, LEI Fan, HE Xiongjun. Study on effects of pounding at expansion joints on seismic responses of long-span cable-stayed bridges between main span and multiple approach spans under earthquakes[J]. China Civil Engineering Journal,2015,48(2): 87-95.(in Chinese))
    邵旭东. 桥梁工程[M]. 4版. 北京: 人民交通出版社, 2016.(SHAO Xudong. Bridge Engineering [M]. 4th ed. Beijing: China Communications Press, 2016.(in Chinese))
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      沈阳化工大学材料科学与工程学院 沈阳 110142

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