A study of Reynolds number effect on vortex-induced vibrations of a flat streamline box girder
LIU Qingkuan1,2,3, REN Ruosong3, SUN Yifei3, LI Zhen3, ZHENG Yunfei4
1. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
2. Innovation Center for Wind Engineering and Wind Energy Technology of Hebei Province, Shijiazhuang 050043, China;
3. School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
4. Department of Railway Engineering, Shijiazhuang Institute of Railway Technology, Shijiazhuang 050043, China
Abstract:Wind tunnel test, an important approach to investigate vortex-induced vibration, may lead to a Reynolds number effect due to the limitations in scale and wind velocity. Moreover, the Reynolds number effect would also cause the deviation between the test values and real values. To investigate the Reynolds number effect on vortex-induced vibration of the flat streamlined box girder, the girder of a long-span cable-stayed bridge is selected to be the subject. In the vibration test, by adjusting the natural frequency of the dynamic model, vortex-induced vibrations under different Reynolds numbers were obtained to achieve the vibration characteristics and related Reynolds number effects. The wind pressure distribution of the girder surface and its contribution to the vortex-induced vibration were obtained in the pressure test. The results show that the vortex-induced vibration of the flat streamlined box girder is intensively affected by the Reynolds number. The vibration amplitudes at higher Reynolds numbers are lower than those at lower Reynolds numbers. The contribution of the upper surface of the girder to the vortex-induced vibration is greater than that of the lower surface, especially the downstream area. Under different Reynolds numbers, the fluctuating pressure distributions of the girder are significantly different, and the variation of the fluctuating pressure coefficient with the Reynolds number may be the reason for the Reynolds number effect of the vortex-induced vibration.
刘庆宽1,2,3,任若松3,孙一飞3,李震3,郑云飞4. 扁平流线型箱梁涡激振动雷诺数效应研究[J]. 振动与冲击, 2022, 41(4): 117-123.
LIU Qingkuan1,2,3, REN Ruosong3, SUN Yifei3, LI Zhen3, ZHENG Yunfei4. A study of Reynolds number effect on vortex-induced vibrations of a flat streamline box girder. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(4): 117-123.
[1] Jones N P, Raggett J D, Ozkan E. Prediction of cable -supported bridge response to wind: coupled flutter assessment during retrofit[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2003, 91(12-15): 1445-1464. [2] Macdonald J H G, Irwin E A, Fletcher M S. Vortex-induced vibration of the Second Severn crossing cable-stayed bridge[J]. Structures and Buildings, Proceedings of the Institution of Civil Engineering, 2002, 152(2): 123-134. [3] 陈政清. 桥梁风工程[M]. 人民交通出版社, 北京, 2005: 5. CHEN Zheng-qing. Bridge wind engineering[M]. Beijing: China Communications Press, 2005: 5. [4] Schewe G, Larsen A. Reynolds number effects in the flow around a bluff bridge deck cross section[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1998, 74(2): 829-838. [5] 鲜荣, 廖海黎. 不同尺度扁平箱梁节段模型涡激振动风洞试验[J]. 桥梁建设, 2010(02): 9-13. XIAN Rong, LIAO Hai-li. Wind tunnel test for vortex induced vibration of different geometry scale sectional models of flat box girder [J]. Bridge Construction, 2010, (2): 9-13. [6] 崔欣, 李加武, 陈飞, 等. 准流线型桥梁断面涡激共振的雷诺数效应[J]. 长安大学学报(自然科学版), 2011, 31(02): 47-51+62. CUI Xin, LI Jia-wu, CHEN Fei, et al. Reynolds number effect on vortex resonance of streamline-like bridge deck section[J]. Journal of Changan University (Natural Science), 2011, 31(2): 47-51+62. [7] 董浩天,葛耀君,杨詠昕.闭口钢箱梁悬索桥涡振多尺度模型风洞试验[J].结构工程师,2018,34(04):94-100. DONG Hao-tian, GG Yao-jun, YANG Yong-xin. Multi-scale Model Tests of Vortex-induced Vibration of a Suspension Bridge with Closed Steel Box Girders [J]. Structural Engineers, 2011, 31(2): 47-51+62. [8] 胡传新, 赵林, 陈海兴, 等. 流线闭口箱梁涡振气动力的雷诺数效应研究[J]. 振动与冲击, 2019, 38(12):118-125. HU Chuan-xin, ZHAO Lin, CHEN Hai-xing, et al. Reynolds number effects on aerodynamic forces of a streamlined closed-box girder during vortex-induced vibrations [J]. Journal of Vibration and Shock, 2019, 38(12):118-125. [9] 白桦, 回城玉, 刘健新. 模型长宽比与二元端板对桥梁节段模型风洞试验影响研究[J]. 世界桥梁, 2018, 46(02): 52-57. BAI Hua, HUI Cheng-yu, LIU Jian-xin. Study on the influence of the length width ratio of the model and the binary end plate on the wind tunnel test of the bridge section model[J]. World Bridges, 2018, 46 (02): 52-57 [10] 张伟, 魏志刚, 杨詠昕, 等. 基于高低雷诺数试验的分离双箱涡振性能对比[J]. 同济大学学报(自然科学版), 2008, 36(01): 6-11. ZHANG Wei, WEI Zhi-gang, YANG Yong-xin, et al. Comparison and analysis of vortex induced vibration for twin-box bridge sections based on experiments in different Reynolds numbers[J]. Journal of Tongji University (Natural science), 2008, 36(01): 6-11. [11] 李春光, 张记, 樊永波, 等. 宽幅流线型钢箱梁涡振性能气动优化措施研究[J]. 桥梁建设, 2017, 47(01):35-40. LI Chun-guang, ZHANG Ji, FAN Yong-bo, et al. Study of aerodynamic optimization measures for vortex-induced vibration performance of wide streamlined steel box girder[J]. Bridge Construction, 2017, 47(01):35-40. [12] Larsen A, Wall A. Shaping of bridge box girders to avoid vortex shedding response[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2012:104-106. [13] 管青海, 李加武, 刘健新. 典型箱梁断面双竖向涡振区的成因分析[J]. 长安大学学报(自然科学版), 2013, 33(04): 40-46. GUAN Qing-hai, LI Jia-wu, LIU Jian-xin. Investigation into formation of two lock-in districts of vertical vortex- induced vibration of a box bridge deck section[J]. Journal of Changan University (Natural Science Edition), 2013, 33(4): 40-46.