Evaluation of aerodynamic damping in full-scale rain-wind-induced stay cable vibration

Abstract Rain-wind-induced vibration of stay cables has been a long-standing problem for cable-stayed bridges. Despite the numerous full-scale and laboratory studies conducted to understand this phenomenon, a consensus on the excitation mechanism that causes the vibration has not been reached. As a result, although many types of formulation have been used to develop models for rain-wind-induced vibration, the capability of these models to effectively predict full-scale vibrations has not been definitively validated. Motivated by the qualitative similarities between the rain-wind-induced vibration and vortex-induced vibration observed in the field, this study proposes to model rain-wind-induced vibration as a Van der Pol oscillator in a manner similar to that used in the modeling of vortex-induced vibration by some previous studies. The model is used as a basis to evaluate the aerodynamic damping resulting from the interaction between the vibration of full-scale stay cables and wind as well as rain, which is the fundamental mechanism that causes large-amplitude vibrations. The dependence of the generalized coefficients representing the linear and nonlinear components of the aerodynamic damping on the characteristics of both the vibration and the wind is interpreted.

[1]  Kishor C. Mehta,et al.  IDENTIFICATION OF VORTEX-INDUCED-RESPONSE PARAMETERS IN TIME DOMAIN , 1996 .

[2]  N. Nikitas,et al.  Numerical modelling for rain wind induced vibration of cables with longitudinal ribs , 2018 .

[3]  Haiquan Jing.  Rain-wind-induced cable vibration through wind tunnel tests and numerical analysis , 2016 .

[4]  Ahsan Kareem,et al.  Rain-Wind-Induced In-Plane and Out-of-Plane Vibrations of Stay Cables , 2013 .

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

[6]  Dongpu Cao,et al.  A stochastic approach to cable dynamics with moving rivulets , 2003 .

[7]  C. Eloy,et al.  Multi-mode responses, rivulet dynamics, flow structures and mechanism of rain-wind induced vibrations of a flexible cable , 2018, Journal of Fluids and Structures.

[8]  Hui Li,et al.  Study on the role of rivulet in rain-wind-induced cable vibration through wind tunnel testing , 2015 .

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

[10]  J. P. Hartog.  Transmission Line Vibration Due to Sleet , 1932, Transactions of the American Institute of Electrical Engineers.

[11]  Luca Caracoglia,et al.  Effectiveness of cable networks of various configurations in suppressing stay-cable vibration , 2009 .

[12]  Nicholas P. Jones,et al.  Vortex shedding from circular cylinders: Experimental data and a new model , 1992 .

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

[14]  D. Olivari,et al.  Wind- and rain-induced oscillations of cables of stayed bridges , 1996 .

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

[16]  E. de Langre,et al.  Coupling of Structure and Wake Oscillators in Vortex-Induced Vibrations , 2004 .

[17]  W. D. Iwan,et al.  The vortex-induced oscillation of non-uniform structural systems , 1981 .

[18]  R. Blevins,et al.  A Model for Vortex Induced Oscillation of Structures , 1974 .

[19]  B. J. Vickery,et al.  Across-wind vibrations of structures of circular cross-section. Part I. Development of a mathematical model for two-dimensional conditions , 1983 .

[20]  R. Scanlan,et al.  Vortex‐Induced Vibrations of Flexible Bridges , 1990 .

[21]  I. G. Currie,et al.  Lift-Oscillator Model of Vortex-Induced Vibration , 1970 .

[22]  Liang Wu,et al.  Experimental and analytical study of galloping of a slender tower , 2017 .

[23]  B. J. Vickery,et al.  Across-wind vibrations of structure of circular cross-section. Part II. Development of a mathematical model for full-scale application , 1983 .

[24]  Hiromichi Shirato,et al.  Response characteristics of rain-wind induced vibration of stay-cables of cable-stayed bridges , 1995 .

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

[26]  Shaohong Cheng,et al.  Experimental study on the wind-induced vibration of a dry inclined cable—Part II: Proposed mechanisms , 2008 .

[27]  Udo Peil,et al.  Modeling of rain-wind induced vibrations , 2003 .

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

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

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

[31]  R. Bishop,et al.  The lift and drag forces on a circular cylinder oscillating in a flowing fluid , 1964, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

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

[33]  Nicholas P. Jones,et al.  Interpretation of field observations of wind- and rain-wind-induced stay cable vibrations , 2010 .

[34]  A. J. Persoon,et al.  Full-scale measurements on the Erasmus bridge after rain/wind induced cable vibrations , 1999 .

[35]  Robert H. Scanlan,et al.  The action of flexible bridges under wind, I: Flutter theory† , 1978 .

[36]  Hartono,et al.  Rain-wind-induced vibrations of a simple oscillator , 2004 .

[37]  John H G Macdonald,et al.  Misconceptions and Generalizations of the Den Hartog Galloping Criterion , 2014 .

[38]  Claudio Ceccoli,et al.  Rain-wind induced vibration of inclined stay cables. Part I: Experimental investigation and physical explanation , 2003 .

[39]  Nicholas P. Jones,et al.  Analytical and Numerical Study of Deck-Stay Interaction in a Cable-Stayed Bridge in the Context of Field Observations , 2013 .

[40]  Giovanni Solari,et al.  GUST BUFFETING AND AEROELASTIC BEHAVIOUR OF POLES AND MONOTUBULAR TOWERS , 1999 .

[41]  D. Zuo,et al.  Numerical evaluation of coupled galloping of slender towers in boundary-layer winds based on a nonlinear analytical model , 2018, Journal of Fluids and Structures.

[42]  J. Wang,et al.  3D numerical analysis on wind and rain induced oscillations of water film on cable surface , 2018 .

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

[44]  M. Novak.  Galloping Oscillations of Prismatic Structures , 1972 .

[45]  O. M. Griffin,et al.  A model for the vortex-excited resonant response of bluff cylinders , 1973 .

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

[47]  Lin Zhao,et al.  Experimental investigation on spatial attitudes, dynamic characteristics and environmental conditions of rain–wind-induced vibration of stay cables with high-precision raining simulator , 2018 .

[48]  Tomomi Yagi,et al.  Rain-wind-induced vibration of inclined cables at limited high reduced wind velocity region , 2001 .

[49]  Ahsan Kareem,et al.  On the excitation mechanisms of rain–wind induced vibration of cables: Unsteady and hysteretic nonlinear features , 2013 .

[50]  Y. L. Xu,et al.  Analytical study of wind-rain-induced cable vibration : 2DOF model , 2001 .