2017, Volume 3, Issue 6
Engineering >> 2017, Volume 3, Issue 6 doi: 10.1016/j.eng.2017.06.001
A Simplified Nonlinear Model of Vertical Vortex-Induced Force on Box Decks for Predicting Stable Amplitudes of Vortex-Induced Vibrations
a 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
b Shanghai Urban Construction Municipal Engineering (Group) Co., Ltd., Shanghai 200065, China
c Tongji Architectural Design (Group) Co., Ltd., Shanghai 200092, China
d Highway Planning, Survey, Design and Research Institute, Sichuan Provincial Transport Department, Chengdu 610041, China
Next Previous
Abstract
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
Figures
Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
References
[ 1 ] Burden AR. Japanese cable-stayed bridge design. P I Civil Eng Pt 1 1991;90 (5):1021–51. link1
[ 2 ] Larsen A, Esdahl S, Andersen JE, Vejrum T. Storebælt suspension bridge—vortex shedding excitation and mitigation by guide vanes. J Wind Eng Ind Aerod 2000;88(2–3):283–96. link1
[ 3 ] Larsen A, Savage M, Lafrenière A, Hui MCH, Larsen SV. Investigation of vortex response of a twin box bridge section at high and low Reynolds numbers. J Wind Eng Ind Aerod 2008;96(6–7):934–44. link1
[ 4 ] Ge YJ. Wind resistance of long span suspension bridges. Beijing: China Communications Press; 2011. Chinese.
[ 5 ] Ehsan F, Scanlan RH. Vortex-induced vibrations of flexible bridges. J Eng Mech 1990;116(6):1392–411. link1
[ 6 ] Simiu E, Scanlan RH. Wind effects on structures: fundamentals and applications to design. 3rd ed. New York: John Wiley & Sons; 1996.
[ 7 ] Larsen A. A generalized model for assessment of vortex-induced vibrations of flexible structures. J Wind Eng Ind Aerod 1995;57(2–3):281–94. link1
[ 8 ] Zhu LD, Meng XL, Guo ZS. Nonlinear mathematical model of vortex-induced vertical force on a flat closed-box bridge deck. J Wind Eng Ind Aerod 2013;122:69–82. link1
[ 9 ] Meng XL. Nonlinear behavior and mechanism of vertical vortex-induced vibration of long span steel-box-deck bridges [dissertation]. Shanghai: Tongji University; 2013. Chinese.
[10] Zhu LD, Du LQ, Meng XL, Guo ZS. Nonlinear mathematical models of vortex- induced vertical force and torque on a centrally-slotted box deck. In: Proceedings of 14th international conference on wind engineering (ICWE14); 2015 Jun 21–26; Porto Alegre, Brazil. link1
[11] Ding MC. Study on the nonlinear vortex-induced forces on semi- closed box decks [dissertation]. Shanghai: Tongji University; 2016. Chinese
京公网安备 11010502051620号
