辅助索对H形吊杆抖振控制分析
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摘要
为研究辅助索对H形吊杆抖振控制的适用性,分别建立了安装辅助索前后单根H形吊杆有限元模型,采用时域分析法对不同风攻角和风速作用时吊杆应力状态进行数值计算。首先,采用谐波合成法生成脉动风场,获得H形吊杆的风速时程;其次,计算了H形吊杆关键节点的静风力、抖振力和自激力;最后,基于时域分析法,分析设置辅助索前后吊杆关键节点的轴向应力和应力幅变化。研究结果表明:H形吊杆的轴向应力在90°风攻角下最大;吊杆轴向应力增长幅度随风速增长而增大,并在风速超过10 m/s时急剧增大;安装辅助索可降低H形吊杆轴向应力约60%,降低应力幅超过50%。安装辅助索对H形吊杆抖振控制具有良好的减振效果和适用性。
In order to study the applicability of auxiliary cables for buffeting control of H-section hanger,the finite element models of single H-section hanger before and after installation of auxiliary cables were established respectively. The stress state of hangers under different wind attack angles and wind velocities was numerically calculated by time domain analysis method. Firstly,the fluctuating wind field was generated by harmonic synthesis method,and the wind speed time history of H-section hanger was obtained. Secondly,the static wind force,buffeting force and self-exciting force of the key nodes of H-section hanger were calculated. Finally,based on the time domain analysis method,the changes of the axial stress and stress amplitude of the key nodes of H-section hanger before and after setting auxiliary cables were analyzed. The results show that the axial stress of the H-section hanger is the largest at 90 degrees wind attack angle,the increase range of the axial stress of the hanger increases with the increase of wind speed,and increases sharply when the wind speed exceeds 10 m/s; the installation of auxiliary cables can reduce the axial stress of the H-section hanger about 60% and the stress amplitude over 50%. It can be seen that the installation of auxiliary cables has good effect and applicability for buffeting control of H-section hangers.
In order to study the applicability of auxiliary cables for buffeting control of H-section hanger,the finite element models of single H-section hanger before and after installation of auxiliary cables were established respectively. The stress state of hangers under different wind attack angles and wind velocities was numerically calculated by time domain analysis method. Firstly,the fluctuating wind field was generated by harmonic synthesis method,and the wind speed time history of H-section hanger was obtained. Secondly,the static wind force,buffeting force and self-exciting force of the key nodes of H-section hanger were calculated. Finally,based on the time domain analysis method,the changes of the axial stress and stress amplitude of the key nodes of H-section hanger before and after setting auxiliary cables were analyzed. The results show that the axial stress of the H-section hanger is the largest at 90 degrees wind attack angle,the increase range of the axial stress of the hanger increases with the increase of wind speed,and increases sharply when the wind speed exceeds 10 m/s; the installation of auxiliary cables can reduce the axial stress of the H-section hanger about 60% and the stress amplitude over 50%. It can be seen that the installation of auxiliary cables has good effect and applicability for buffeting control of H-section hangers.
引文
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16 Mccormick R A. The spectrum of vertical velocity near the surface[J]. Quarterly Journal of the Royal Meteorological Society,2010,86(370):495-503
17 曾宪武,韩大建.大跨桥梁风致抖振时域分析及在ANSYS中的实现[J].桥梁建设,2004(1):11-14Zeng Xianwu,Han Dajian. Time-domain analysis of wind-induced buffeting of long-span bridges and its implementation in ANSYS[J]. Bridge Construction,2004(1):11-14
18 Davenport A G. Recent developments and trends:dynamic response-tall buildings and towers[J]. Wind Engineering,1980,13(1):655-658
19 刘慕广.两类大长细比桥梁构件的风振特性研究[D].长沙:湖南大学,2008Liu Muguang. Wind-induced vibration characteristics of two types of bridge components with large slenderness ratio[D]. Changsha:Hunan University,2008
20 祝自强.桥梁构件扭转涡激共振的疲劳研究[D].长沙:湖南大学,2011Zhu Ziqiang. Fatigue study on torsional vortex-induced resonance of bridge components[D]. Changsha:Hunan University,2011
21 王钦华,张乐乐.佛山地区考虑风向影响的基本风速统计分析[J].广东土木与建筑,2011(12):22-24Wang Qinhua,Zhang Lele. Statistical analysis of basic wind speed considering wind direction in foshan Area[J]. Guangdong Civil and Architecture,2011(12):22-24
2 李宇,车艳阳,王森.刘家峡桁架梁悬索桥的颤抖振时域分析[J].北京交通大学学报,2014,38(1):55-60Li Yu,Che Yanyang,Wang Sen. Liujiaxia truss girder suspension bridge flutter time domain analysis[J]. Journal of Beijing Jiaotong University,2014,38(1):55-60
3 董锐,葛耀君,杨昕,等.斜拉桥П型开口主梁断面抖振性能比选[J].哈尔滨工业大学学报,2017,49(3):168-174Dong Rui,Ge Yaojun,Yang Yongxin,et al. Comparison of section buffeting performance of open girder of cable-stayed bridge[J]. Journal of Harbin University of Technology,2017,49(3):168-174
4 李永乐,孙超,向活跃,等.三维随机激励作用下斜拉索参数振动的有限元分析[J].桥梁建设,2017,47(2):19-24Li Yongle,Sun Chao,Xiang Huoyne,et al. Finite element analysis of parametric vibration of cable under three-dimensional random excitation[J]. Bridge Construction,2017,47(2):19-24
5 梁栋,段文博,朱亚洲,等.双悬臂状态高墩连续刚构桥的风振及控制研究[J].科学技术与工程,2017,17(6):276-282Duan,Duan Wenbo,Zhu Yazhou,et al. Wind vibration and control of high pier continuous rigid frame bridge with double cantilevers[J].Science and Technology and Engineering,2017,17(6):276-282
6 王浩,李爱群,焦常科.桥塔风效应对大跨度悬索桥抖振响应的影响[J].振动与冲击,2010,29(8):103-106Wang Hao,Li Aiqun,Jiao Changke. The influence of tower wind effect on buffeting response of long-span suspension bridges[J]. Vibration and Impact,2010,29(8):103-106
7 Cheynet E,Jakobsen J B,Snbj9rnsson J. Buffeting response of a suspension bridge in complex terrain[J]. Engineering Structures,2016,128:474-487
8 王向阳,夏小勇,韩丽丽.独塔斜拉桥钢拱塔竖转施工风致抖振响应分析[J].武汉理工大学学报(交通科学与工程版),2016,40(2):251-255Wang Xiangyang,Xia Xiaoyong,Han Lili. Wind-induced buffeting response analysis of steel arch tower erection of single-tower cablestayed bridge[J]. Journal of Wuhan University of Technology(Transportation Science and Engineering Edition),2016,40(2):251-255
9 Ulstrup C C. Aerodynamic lessons learned from individual bridge members[J]. Annals of the New York Academy of Sciences,2010,352(1):265-281
10 赵洋,徐凯,汪志昊,等.刚性吊杆-水平抗风索耦合系统弯曲振动自振特性分析[J].振动与冲击,2017,36(11):92-99Zhao Yang,Xu Kai,Wang Zhihao,et al. Bending vibration analysis of rigid hanger-horizontal wind-resistant cable coupling system[J]. Vibration and Impact,2017,36(11):92-99
11 汪志昊,徐凯,赵洋.大跨度钢拱桥H形吊杆-水平抗风索耦合系统扭转自振特性分析[J].振动工程学报,2017,30(4):620-629Wang Zhihao,Xu Kai,Zhao Yang. Analysis of torsional natural vibration characteristics of H-section hanger-horizontal wind-resistant cable coupling system of long-span steel arch bridge[J]. Journal of Vibration Engineering,2017,30(4):620-629
12 李杰,刘章军.随机脉动风场的正交展开方法[J].土木工程学报,2008,41(2):49-53Li Jie,Liu Zhangjun. Orthogonal expansion method for stochastic fluctuating wind field[J]. Journal of Civil Engineering,2008,41(2):49-53
13 Shinozuka M,Deodatis G. Simulation of stochastic processes by spectral representation[J]. Applied Mechanics Reviews,1991,44(4):191-204
14 Deodatis G. Simulation of ergodic multivariate stochastic processes[J]. Journal of Engineering Mechanics,1996,122(8):778-787
15 Kaimal J C,Wyngaard J C,Izumi Y,et al. Spectral characteristics of surface-layer turbulence[J]. Quarterly Journal of the Royal Meteorological Society,2010,98(417):563-589
16 Mccormick R A. The spectrum of vertical velocity near the surface[J]. Quarterly Journal of the Royal Meteorological Society,2010,86(370):495-503
17 曾宪武,韩大建.大跨桥梁风致抖振时域分析及在ANSYS中的实现[J].桥梁建设,2004(1):11-14Zeng Xianwu,Han Dajian. Time-domain analysis of wind-induced buffeting of long-span bridges and its implementation in ANSYS[J]. Bridge Construction,2004(1):11-14
18 Davenport A G. Recent developments and trends:dynamic response-tall buildings and towers[J]. Wind Engineering,1980,13(1):655-658
19 刘慕广.两类大长细比桥梁构件的风振特性研究[D].长沙:湖南大学,2008Liu Muguang. Wind-induced vibration characteristics of two types of bridge components with large slenderness ratio[D]. Changsha:Hunan University,2008
20 祝自强.桥梁构件扭转涡激共振的疲劳研究[D].长沙:湖南大学,2011Zhu Ziqiang. Fatigue study on torsional vortex-induced resonance of bridge components[D]. Changsha:Hunan University,2011
21 王钦华,张乐乐.佛山地区考虑风向影响的基本风速统计分析[J].广东土木与建筑,2011(12):22-24Wang Qinhua,Zhang Lele. Statistical analysis of basic wind speed considering wind direction in foshan Area[J]. Guangdong Civil and Architecture,2011(12):22-24