|Table of Contents|

Chaos characteristics of wind-induced vibrations for bridge(PDF)

《交通运输工程学报》[ISSN:1671-1637/CN:61-1369/U]

Issue:
2014年03期
Page:
34-42
Research Field:
道路与铁道工程
Publishing date:

Info

Title:
Chaos characteristics of wind-induced vibrations for bridge
Author(s):
LI Jia-wu1;  WANG Xin1;  ZHANG Yue1;  GAO Meng2;  CHEN Zi-tao1
1. School of Highway, Chang’an University, Xi’an 710064, Shaanxi, China; 2. School of Science,Chang’an University, Xi’an 710064, Shaanxi, China
Keywords:
bridge engineering;  wind-induced vibration;  nonlinear theory;  chaos characteristics;  Lyapunov exponent;  time series
PACS:
U441
DOI:
-
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 wind speed, and the phase space can also be used to explain flutter and vortex vibration. 31 figs, 24 refs.

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Last Update: 2014-06-30