Reasonable size estimation of the binary end plates of a segmental model
BAI Hua1, LIU Boxiang1, JI Naichuan2, LI Jiawu1
1.School of Highway, Chang’an University, Xi’an 710064,China;
2.Shaanxi Provincial Transport Planning Design and Research Institute, Xi’an 710065,China
Abstract:In order to ensure the flow field around the segment model to meet the two-dimensional flow characteristics, it is necessary to set end plate to reduce the influence of the end effect. In the past, the setting of end plate size was mostly based on experience and lack of quantitative basis, Therefore, a method was proposed to estimate the reasonable size of the two-dimensional end plate of the segmental model. The two-dimensional flow field of the test section was calculated by numerical simulation, and the dimensionless dynamic pressure difference distribution function F(x,y) at different positions of the section was obtained. At the same time, the correction coefficient K was introduced to consider the influence of position spacing on the end effect. On this basis, the parameters P(x,y) which effected the influence of the three-dimensional flow around the (x,y) position on the aerodynamic force of the model was proposed. The larger the value is, the more serious the influence of end flow is. According to the results of wind tunnel test and numerical simulation, when the width direction of the model is 10 and the height direction of the model is 15, the size of the end plate can ensure that the end effect is completely eliminated. From this value, the reasonable size of the end plate can be calculated. The effectiveness of this method is verified by wind tunnel test. The method in this paper can provide a reference for the quantitative determination of the reasonable size of the binary end plate.
收稿日期: 2021-09-15
出版日期: 2023-01-28
引用本文:
白桦1,刘博祥1,姬乃川2,李加武1. 节段模型二元端板合理尺寸估算方法[J]. 振动与冲击, 2023, 42(2): 312-320.
BAI Hua1, LIU Boxiang1, JI Naichuan2, LI Jiawu1. Reasonable size estimation of the binary end plates of a segmental model. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(2): 312-320.
[1] STANSBY P K. The effects of end plates on the base pressure coefficient of a circular cylinder[J]. Aeronautical Journal, 1974,78(757):36-37.
[2] NAMIRANIAN F. Fluctuating lift on cylinders of rectangular cross section in smooth and turbulent flows[D]. 1985.
[3] OBASAJU E D. On the effects of end plates on the mean forces on square sections cylinder[J]. Journal of Wind Engineering and Industrial Aerodynamics,1979, 5(1-2):179-186.
[4] KUBO Y, MIYAZAKI M, KATO K. Effects of end plates and blockage of structural members on drag forces[J]. Journal of Wind Engineering and Industrial Aerodynamics,1989,32(3):329- 342.
[5] MORSE T L, GOVARDHAN R N, WILLIAMSON C. The effect of end conditions on the vortex-induced vibration of cylinders[J]. Journal of Fluids & Structures, 2008,24(8):1227-1239.
[6] 郑云飞,刘庆宽,马文勇,等.端板对二维矩形风洞试验模型气动特性的影响[J].实验流体力学,2017,31(03):38-45.
ZHENG Yunfei, LIU Qinkuang, MA Wenyong, et al. LIU Xiao-bing. Effects of end plates on aerodynamic force of rectangular prisms in wind tunnel test[J]. Journal of Experiments in Fluid Mechanic, 2017,31(03):38-45.
[7] 郑云飞,刘庆宽,刘小兵,等.端部状态对斜拉索节段模型气动特性的影响[J].工程力学,2017,34(S1):192-196.
ZHENG Yunfei, LIU Qingkuan, LIU Xiaobing, et al. Influence of end state on aerodynamic characteristics of cable segment model[J]. Engineering Mechanics, 2017,34(S1):192-196.
[8] 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 Chengyu, LIU Jianxing. Study of length to width ratio and binary end plates of models on bridge sectional model wind tunnel test[J]. World Bridges, 2018,46(02):52-57
[9] 高斐.典型断面节段模型风洞试验影响因素研究[D].长安大学,2013.
GAO Fei. The study of the influence factors on typical cross-section of segmental model wind tunnel test[D]. Chang'an University, 2013.
[10] 温青,池俊豪,华旭刚,等.端部条件和展弦比对矩形断面节段模型气动力特征的影响[J].实验流体力学,2020,34(04):36-43.
WEN Qing, CHI Junhao, HUA Xugang, et al. Effects of end condition and aspect ratio on aerodynamic characteristics of rectangular sectional model[J]. Journal of Experiments in Fluid Mechanic,2020,34(04):36-43.
[11] 温青,华旭刚,池俊豪,等.端部条件和长宽比对矩形断面节段模型涡激振动的影响[J].振动工程学报,2020,33(04):653-659.
WEN Qing, HUA Xugang, CHI Junhao, et al. Effects of end conditions and aspect ratios on vortex-induced vibration fora rectangular sectional model[J]. Journal of Vibration Engineering,2020,33(04):653-659.
[12] 燕翔,刘昉,练继建,等.不同端板条件下的圆柱涡激振动试验[J].振动.测试与诊断,2018,38(4):6.
YAN xiang, LIU Fang, LIAN Jijian, et al. Vortex-induced vibration test of cylinder under different endplate conditions[J]. Journal of Vibration, Measurement & Diagnosis, 2018,38(4):6.
[13] LIANG H, DUAN R Q. Effect of lateral end plates on flow crossing a yawed circular cylinder[J]. Applied Sciences, 2019,9(8):1590.
[14] 崔会芳.模型长宽比对桥梁风洞试验影响的研究[D].长安大学,2012.
CUI Huifang. The study of the effect of model's aspect Ratio on Bridge Wind tunnel Test[D]. Chang'an University, 2012.
[15] 刘钥,陈政清,张志田.箱梁断面静风力系数的CFD数值模拟[J].振动与冲击,2010,29(1):133-137.
LIU Yao, CHEN Zhengqing, ZHANG Zhitian. CFD numerical simulation of static wind coefficient of box girder section[J]. Journal of Vibration and Shock, 2010,29(1):133-137.
[16] 刘志文,周帅,陈政清.宽高比为4的矩形断面涡激振动响应数值模拟[J].振动与冲击,2011,030(011):153-156,202.
LIU Zhiwen, ZHOU Shuai, CHEN Zhengqing. Numerical simulation of vortex-induced vibration response of rectangular section with aspect ratio of 4[J]. Journal of Vibration and Shock, 2011,030(011):153-156,202.
[17] 刘小兵,张海东,王彦彪.宽高比为5的矩形断面梁气动力展向相关性研究[J].工程力学,2015,32(S1):50-54.
LIU Xiaobing, ZHANG Haidong, WANG Yanbiao. Study on the correlation of aerodynamic spanwise of rectangular cross-section beams with aspect ratio of 5[J]. Engineering Mechanics, 2015,32(S1):50–54.
[18] 杨晶,许福友,曾冬雷.宽高比为10的矩形断面气动特性试验研究[J].振动与冲击,2020,39(14):8.
YANG Jing, XU Fuyou, ZENG Donglei. Experimental study on aerodynamic characteristics of rectangular section with aspect ratio of 10[J]. Journal of Vibration and Shock, 2020,39(14):8.