Chaos characteristics of wind-induced vibrations for bridge

LI Jia-wu; WANG Xin; ZHANG Yue; GAO Meng; CHEN Zi-tao

Volume 14 Issue 3

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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.

Citation:

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.

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.

Citation:

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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Chaos characteristics of wind-induced vibrations for bridge

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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Author Bio:
LI Jia-wu (1972-), male, professor, PhD, +86-29-82336252, ljw@gl.chd.edu.cn
Received Date: 2014-01-17
Publish Date: 2014-06-25

Abstract

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.
- bridge engineering,
- wind-induced vibration,
- nonlinear theory,
- chaos characteristics,
- Lyapunov exponent,
- time series

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References(24)

References

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