Three-phase coupled modelling research on rain-wind induced vibration of stay cable based on lubrication theory

Abstract Cables of cable-stayed bridges may vibrate with large amplitude under wind and rain, which is known as rain–wind induced vibration (RWIV). According to the pervious researches, the formations and oscillations of rivulets on stay cable surface play important roles in RWIV. In this paper, four different 2D models are presented based on lubrication theory, and the best way of simulating RWIV through lubrication theory is confirmed by the comparisons of rivulet motions and cable vibration responses between these four models and pervious researches. On this basis, the relations among rivulet motions, cable aerodynamic forces and vibration responses are investigated to reveal the mechanism of RWIV. Numerical simulation results show that when RWIV occurs, the periodic oscillations of rivulets around cable lead to the periodic fluctuations of cable lift and drag, whose frequencies are almost equal and close to cable natural frequency. Under the periodically fluctuant lift and drag, cable vibrates with large amplitude in across-wind and along-wind directions, which may further enhance the circumferential oscillations of rivulets conversely. These confirm the conclusion that the resonance between rivulets and cable oscillation may be one of the main reasons for RWIV.

[1]  Naruhito Shiraishi,et al.  Rain-wind induced vibrations of cables stayed bridges , 1988 .

[2]  Yong Xia,et al.  Measurement of rivulet movement on inclined cables during rain–wind induced vibration , 2015 .

[3]  Dieter Dinkler,et al.  Rain-wind induced vibrations - : phenomenology, mechanical modelling and numerical analysis , 2006 .

[4]  Yi-Qing Ni,et al.  Field observations of rain-wind-induced cable vibration in cable-stayed Dongting Lake Bridge , 2007 .

[5]  Wenli Chen,et al.  An ultrasonic transmission thickness measurement system for study of water rivulets characteristics of stay cables suffering from wind–rain-induced vibration , 2010 .

[6]  Billie F. Spencer,et al.  MR damping system on Dongting Lake cable-stayed bridge , 2003, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[7]  Ge Yao-jun.  Numerical analysis and real-time measurement of water-film on rain-wind induced vibration dable , 2011 .

[8]  Hiromichi Shirato,et al.  Aerodynamic behavior of inclined circular cylinders-cable aerodynamics , 1990 .

[9]  Tomomi Yagi,et al.  Vortex-induced cable vibration of cable-stayed bridges at high reduced wind velocity , 2001 .

[10]  Y L Xu,et al.  Analytical study of wind–rain-induced cable vibration: SDOF model , 2003 .

[11]  Hiromichi Shirato,et al.  Rain-wind induced vibration of cables of cable-stayed bridges , 1992 .

[12]  Ming Gu,et al.  Experimental investigation of rain–wind-induced vibration of cables in cable-stayed bridges and its mitigation , 2005 .

[13]  Ming Gu,et al.  Theoretical and experimental studies on the aerodynamic instability of a two-dimensional circular cylinder with a moving attachment , 2008 .

[14]  Hiroki Yamaguchi,et al.  Analytical study on growth mechanism of rain vibration of cables , 1988 .

[15]  Krzysztof Wilde,et al.  Simple model of rain-wind-induced vibrations of stayed cables , 2003 .

[16]  Pascal Hémon,et al.  Thin water film around a cable subject to wind , 2007 .

[17]  Ian Taylor,et al.  Numerical simulation of the airflow–rivulet interaction associated with the rain-wind induced vibration phenomenon , 2011 .

[18]  Gu Ming,et al.  Response characteristics of wind excited cables with artificial rivulet , 2002 .

[19]  Nicholas P. Jones,et al.  Field observation of vortex-and rain-wind-induced stay-cable vibrations in a three-dimensional environment , 2008 .

[20]  J. Wang,et al.  2D numerical analysis on evolution of water film and cable vibration response subject to wind and rain , 2013 .

[21]  Chen Zheng-qing.  ANALYTICAL MODEL FOR RAIN-WIND-INDUCED VIBRATION OF THREE-DIMENSIONAL CONTINUOUS STAY CABLE WITH QUASI-MOVING RIVULET , 2007 .

[22]  Jun Li.  MECHANISM AND EXPERIMENT OF THE INTERNAL CONDENSATION OF WATER VAPOR IN PNEUMATIC SYSTEM , 2007 .

[23]  Peng Lu,et al.  Numerical simulation and analysis of the effects of water-film morphological changes on the aerodynamic lift of stay cables , 2014 .

[24]  Ming Gu.  On wind-rain induced vibration of cables of cable-stayed bridges based on quasi-steady assumption , 2009 .

[25]  T. Vrouwenvelder,et al.  NUMERICAL MODELLING OF RAIN-WIND-INDUCED VIBRATION: ERASMUS BRIDGE, ROTTERDAM , 1998 .

[26]  Olivier Flamand,et al.  Rain-wind induced vibration of cables , 1995 .