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Engineering    2017, Vol. 3 Issue (6) : 854 -862
Research |
A Simplified Nonlinear Model of Vertical Vortex-Induced Force on Box Decks for Predicting Stable Amplitudes of Vortex-Induced Vibrations
Le-Dong Zhu1(),Xiao-Liang Meng2,Lin-Qing Du3,Ming-Chang Ding4
1. State Key Laboratory of Disaster Reduction in Civil Engineering & Department of Bridge Engineering, College of Civil Engineering & Key Laboratory for Wind Resistance Technology of Bridges of Ministry of Transport, Tongji University, Shanghai 200092, China
2. Shanghai Urban Construction Municipal Engineering (Group) Co., Ltd., Shanghai 200065, China
3. Tongji Architectural Design (Group) Co., Ltd., Shanghai 200092, China
4. Highway Planning, Survey, Design and Research Institute, Sichuan Provincial Transport Department, Chengdu 610041, China

Wind-tunnel tests of a large-scale sectional model with synchronous measurements of force and vibration responses were carried out to investigate the nonlinear behaviors of vertical vortex-induced forces (VIFs) on three typical box decks (i.e., fully closed box, centrally slotted box, and semi-closed box). The mechanisms of the onset, development, and self-limiting phenomenon of the vertical vortex-induced vibration (VIV) were also explored by analyzing the energy evolution of different vertical VIF components and their contributions to the vertical VIV responses. The results show that the nonlinear components of the vertical VIF often differ from deck to deck; the most important components of the vertical VIF, governing the stable amplitudes of the vertical VIV responses, are the linear and cubic components of velocity contained in the self-excited aerodynamic damping forces. The former provides a constant negative damping ratio to the vibration system and is thus the essential power driving the development of the VIV amplitude, while the latter provides a positive damping ratio proportional to the square of the vibration velocity and is actually the inherent factor making the VIV amplitude self-limiting. On these bases, a universal simplified nonlinear mathematical model of the vertical VIF on box decks of bridges is presented and verified in this paper; it can be used to predict the stable amplitudes of the vertical VIV of long-span bridges with satisfactory accuracy.

Keywords Box deck of bridge      Vertical vortex-induced vibration      Vertical vortex-induced force      Simplified nonlinear model      Wind-tunnel test      Large-scale sectional model      Synchronous measurement of force and      vibration     
Corresponding Authors: Le-Dong Zhu   
Just Accepted Date: 01 December 2017   Issue Date: 02 March 2018
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Le-Dong Zhu
Xiao-Liang Meng
Lin-Qing Du
Ming-Chang Ding
Cite this article:   
Le-Dong Zhu,Xiao-Liang Meng,Lin-Qing Du, et al. A Simplified Nonlinear Model of Vertical Vortex-Induced Force on Box Decks for Predicting Stable Amplitudes of Vortex-Induced Vibrations[J]. Engineering, 2017, 3(6): 854 -862 .
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