| 桥梁风致振动的混沌特性 |
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| 引用本文： | 李加武, 王新, 张悦, 高蒙, 陈子涛. 桥梁风致振动的混沌特性[J]. 交通运输工程学报, 2014, 14(3): 34-42. |
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| 作者姓名： | 李加武 王新 张悦 高蒙 陈子涛 |
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| 作者单位： | 1.长安大学 公路学院, 陕西 西安 710064;;2.长安大学 理学院, 陕西 西安 710064 |
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| 基金项目： | 国家自然科学基金项目51078038 土木工程防灾国家重点实验室开放基金项目SLDRCE10-MB-02 中央高校基本科研业务费专项资金项目CHD2010ZD001 |
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| 摘 要： | 利用非线性理论和混沌时间序列分析方法, 建立了桥梁风致振动的数学模型, 开发了计算桥梁振动加速度时间序列Lyapunov指数的MATLAB程序, 进行了桥梁涡振和颤振的风洞试验, 分析了不同风攻角下的桥梁风致振动的阻尼比、Lyapunov指数与风速的关系以及涡振振幅与风速的关系, 研究了桥梁颤振和涡振的混沌特性。试验结果表明: 在颤振试验中, 当风速小于颤振临界风速15.5m·s-1时, Lyapunov指数小于0, Lyapunov指数与阻尼比存在很大的相关性, 当风速从3m·s-1增大为18m·s-1时, 相空间逐渐发散; 在涡振试验中, 当风速从4.5m·s-1增大至8.5m·s-1时, Lyapunov指数大于0, 桥梁发生明显涡振, 并由多频振动逐渐转变为单频振动, 相空间变为一个较为理想的圆。桥梁的涡振与颤振均属于混沌现象, 低风速下的Lyapunov指数可用来预测高风速下的风致振动, 并且利用相空间也能识别涡振与颤振。
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| 关 键 词： | 桥梁工程 风致振动 非线性理论 混沌特性 Lyapunov指数 时间序列 |
| 收稿时间： | 2014-01-17 |
Chaos characteristics of wind-induced vibrations for bridge |
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| LI Jia-wu, WANG Xin, ZHANG Yue, GAO Meng, CHEN Zi-tao. Chaos characteristics of wind-induced vibrations for bridge[J]. Journal of Traffic and Transportation Engineering, 2014, 14(3): 34-42. |
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| Authors: | LI Jia-wu WANG Xin ZHANG Yue GAO Meng CHEN Zi-tao |
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| Affiliation: | 1. School of Highway, Chang'an University, Xi'an 710064, Shaanxi, China;;2. School of Science, Chang'an University, Xi'an 710064, Shaanxi, China |
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| Abstract: | According to nonlinear theory and chaotic time series analysis method, the mathematical model of bridge wind-induced vibration was built.The MATLAB program for calculating the Lyapunov exponent of bridge vibration acceleration time series was developed, and the flutter and vortex vibration were tested in wind tunnel.Under various wind attack angles, the damping ratios of bridge wind-induced vibrations, the relationships between Lyapunov exponents and wind speeds, and the relationships between vortex vibration amplitudes and wind speeds were analyzed, and the chaos characteristics of flutter and vortex vibration were studied.Test result indicates when wind speed is less than critical wind speed (15.5 m·s-1), the Lyapunov exponent is negative in flutter test, and the close correlation between Lyapunov exponent and damping ratio is found.When wind speed increases from 3 m·s-1 to 18 m·s-1, the phase space becomes divergent gradually.In vortex vibration test, when wind speed increases from 4.5 m·s-1 to 8.5 m·s-1, the Lyapunov exponent is more than 0, obvious vortex vibration happens, and multi-frequency vibration turns to single frequency vibration gradually.The phase space also becomes an ideal circle.Both flutter and vortex vibration are chaos phenomena.Lyapunov exponent at low wind speed can be used to predict the wind-induced vibrations at high windspeed, and the phase space can also be used to explain flutter and vortex vibration. |
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| Keywords: | bridge engineering wind-induced vibration nonlinear theory chaos characteristics Lyapunov exponent time series |
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