Investigation on Nonlinear Dynamics Behavior of Stay Cables under Rain-Wind Induced Vibration in the Consideration of the Restoring Force and the Coulomb Force Comprehensively

Abstract:

Abstract. This paper consider the restoring force and the coulomb force between the cable and the rivulet comprehensively ,Use Alembert principle to establish two-degree coupled nonlinear motion differential equations of rain-wind-induced vibrations of the cable structure . The equation was analyzed by numerical calculation method with mathematic program . The phase diagrams of cable and water-line were achieved, Also analyzed the effect of the density ratio、viscosity and other parameters on the cable amplitude . Finally through the calculation of Lyapunov performance index obtained the system exist chaotic region. The Phase trajectory and the time-history curve with time extension will be increasingly larger , which can,t be predicted ,thus the chaos phenomenon of system being better interpreted .

• Periodical: Applied Mechanics and Materials (Volumes 178-181)
• Pages: 1994-2001
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.178-181.1994
• Online since: May 2012
• Authors: Yong Gang Xiao, Yan Tang, Yan Huang
• Keywords: Cable, Chaos Phenomenon, Nonlinear, Rain-Wind-Induced Vibration, Rivulet

References

[1] HikamiY , Shiraishi N . Rain-wind induced vibrations of cables in cable stayed bridges[J].Journal of Wind Engineering and lndustrial Aerodynamics .1998 , 29:409—1418.

DOI: 10.1016/0167-6105(88)90179-1

[2] Kingsbury N.A dual—tree complex wavelet transform with improved Orthogonally and symmetry properties[J]. IEEE Int．Conference on Image Processing, 2000, 375—378.

DOI: 10.1109/icip.2000.899397

[3] Gu Ming, Lu Qiang. Theoretical analysis of wind—rain induced vibration of cables of cable—stayed bridges f [J]. Journal of Engineeringand Industrial Aerodynamics, 2001, 89(1):125-128.

DOI: 10.1016/j.jweia.2009.05.004

[4] Gu Ming , Liu Cijun , Xu Youlin . Response of cables with artificial rivulet under rain-wind-induced vibration [J] . Applied mathematic and Mechanics , 2002,23(10):1047 —1054.

[5] Peng Tianbo . Mechanism research of cables of cable-stayed bridge under rain-wind-induced vibration [D] . Shang Hai : Tongji University , 2000 .

[6] Li Shouying , Gu Ming , Chen Zhengqing .Theoretical model of quasi-movement water rivulet three-dimensional continuous elastic cable under rain-wind-induced vibration [J] .Journal of Engineering Mechanics , 2007 , 24(7) : 7-14 .

[7] Du Xiaoqing . Research of cables of cable-stayed bridge under rain-wind-induced vibration [D] . Shang Hai : Tongji University , 2003 , 12 .

[8] He Xuejun , Zhang Qichang. Investigation on nonlinear dynamics behavion of cables under wind-induced vibration [D] . Tian Jin University , 2007.

[9] Gu Ming , Li Shouying , Du Xiaoqing . Theoretical model and mechanism of cables of cable-stayed bridge under rain-wind-induced vibration [J] . Journal of Aerodynamics , 2007 , 25(2) : 169-174 .

[10] Chen Ruilin , Zeng Qingyuan . Chaotic vibration of cables under rain-wind-induced vibration [J] . Vibration and Shock , 2008,27（7）:42-46 .

[11] Zhang Qichuang , Li Weiyi .Investigation on dynamics behavion of cables under wind-induced vibration[J] . Vibration and Shock , 2010 , 29 (4) : 173-176 .

[12] Li Shouying , Chen Zhengqing , Gu Ming . Coupling motion between cables and rivulet in cable,s rain-wind-induced vibration [J] . Vibration and Shock , 2008,27(10):1-5 .

[13] Gu Ming , Du Xiaoqing . Two-degree model of three-dimensional cable of cable-stayed bridge [J] . Mechanics Quarterly , 2004,25（4）: 496-501 .

[14] Gu Ming , Du Xiaoqing , Li Shouying . Experimental and theoretical studies of cables of cable-stayed bridge under rain-wind-induced vibration [J] . Journal of Vibration Engineering , 2007,20（5）:473-479.

[15] Zhang Cuiying , He Xuejun , Luo Supei . Nonlinear theory research of cables under rain-wind-induced vibration [J] .Science technology and Engineering , 2007,（20）:5331-5338.