ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Error analysis of single-camera model deformation measurement in wind tunnel and compensation algorithm
Received date: 2014-08-07
Revised date: 2014-10-21
Online published: 2014-11-24
Supported by
National High-tech Research and Development Program of China (2012AA051304); National Natural Science Foundation of China (11372337); Innovation Research Foundation of State Key Laboratory of Aerodynamics (SKLA2014CX001)
Expressions of coordinates' calculation errors in object space induced by the hypothesis that spanwise coordinate is constant in single-camera model deformation measurement experiments, are derived from the collinearity equations describing the relationship between 2D coordinates in image plane and 3D coordinates in object space. Then the effect of fixing camera at different positions on coordinates' calculation errors is analyzed for a 2 m scale wind tunnel test section. A spanwise displacement compensation algorithm is presented based on the nearly rigid section characteristics of high respect-ratio wind tunnel model in elastic deformation, to reduce or eliminate the coordinates' calculation errors induced by the hypothesis of constant spanwise coordinate. Finally, the compensation algorithm for spanwise displacement is evaluated by a numerical simulation method. The data results show that the compensation algorithm can give relatively exact spanwise displacement and bound the coordinates' calculation errors in a reasonable range when there is singularity of RX/RY or RZ/RY and large errors of space coordinates calculation results need modification.
SUN Yan . Error analysis of single-camera model deformation measurement in wind tunnel and compensation algorithm[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015 , 36(7) : 2115 -2124 . DOI: 10.7527/S1000-6893.2014.0298
[1] Yun Q L. Data error and modification in wind tunnel test[M]. Beijing: National Defense Industry Press, 1996: 181-182 (in Chinese). 恽起麟. 风洞实验数据的误差与修正[M]. 北京:国防工业出版社, 1996: 181-182.
[2] Owens L R, Wahls R A, Rivers S M. Off-design Reynolds number effects for supersonic transport[J]. Journal of Aircraft, 2005, 42(6): 1427-1441.
[3] Kanako Y, Keisuke S. Effect of model deformation on aerodynamic coefficients for the AGARD-B wind tunnel model[J]. Transactions of the Japan Society for Aeronautical and Space Sciences, 2011, 54(185): 163-172.
[4] Liu T S, Burner A W, Jones T W, et al. Photogrammetric techniques for aerospace applications [J]. Progress in Aerospace Sciences, 2012, 54(1): 1-58.
[5] Sant Y L, Mignosi A, Deléglise B, et al. Model deformation measurement (MDM) at ONERA, AIAA-2007-3817[R]. Reston: AIAA, 2007.
[6] Pallek D, Bütefisch K A, Quest J, et al. Model deformation measurement in ETW using the moiré technique[C]//20th International Congress on Instrumentation in Aerospace Simulation Facilities (ICIASF). Piscataway, NJ: IEEE Press, 2003: 110-114.
[7] Song J, Ma J, Jiang M, et al. Application research of Optotrak system in model deformation and attitude measurement in wind tunnel[J]. Transducer and Microsystem Technologies, 2011, 30(12): 65-67 (in Chinese). 宋晋, 马军, 蒋敏, 等. Optotrak系统在风洞模型变形与姿态测量中的应用研究[J]. 传感器与微系统, 2011, 30(12): 65-67.
[8] Sun Y, Zhang Z Y, Huang S J, et al. Vision measurement technology research for model angle of attack in wind tunnel tests[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(1): 1-7 (in Chinese). 孙岩, 张征宇, 黄诗捷, 等. 风洞试验中模型迎角视觉测量技术研究[J]. 航空学报, 2013, 34(1): 1-7.
[9] Zhang Z Y, Wang S L, Sun Y. Videogrammetric measurement for model displacement in wind tunnel test[J]. Applied Mechanics and Materials, 2011, 130: 103-107.
[10] Burner A W, Radeztsky R H, Liu T S. Videometric applications in wind tunnels[C]//5th SPIE International Symposium on Optical Science, Engineering and Instrumentation. San Diego: International Society for Optics and Photonics, 1997: 234-247.
[11] Burner A W, Liu T S. Videogrammetric model deformation measurement technique[J]. Journal of Aircraft, 2001, 38(4): 745-754.
[12] Zhang Z Y, Luo C, Sun Y, et al. Experimental investigation on exterior orientation in vibration environment[J]. Journal of Experiments in Fluid Mechanics, 2011, 25(3): 56-59 (in Chinese). 张征宇, 罗川, 孙岩, 等. 振动环境中相机位置坐标与姿态角解算的实验研究[J]. 实验流体力学, 2011, 25(3): 56-59.
[13] Burner A W, Fleming G A, Hoppe J C. Comparison of three optical methods for measuring model deformation, AIAA-2000-0835[R]. Reston: AIAA, 2000.
[14] Sun Y, Yao H Y, Zhang Z Y. Vibration influence research on single camera measurement of angle of attack[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(3): 525-532 (in Chinese). 孙岩, 姚海艳, 张征宇. 单相机迎角测量中振动影响研究[J]. 航空学报, 2013, 34(3): 525-532.
[15] Burner A W, Goad W K, Massey E A, et al. Wing deformation measurements of the DLR-F6 transport configuration in the National Transonic Facility, AIAA-2008-6921[R]. Reston: AIAA, 2008.
[16] Burner A W. Model deformation measurements at NASA Langley research center[C]//AGARD Conference Proceedings 601: Advanced Aerodynamic Measurement Technology. Seattle: AGARD, 1998: 34.
[17] Burner A W, Liu T S, Richard D. Uncertainty of videogrammetric techniques used for aerodynamic testing, AIAA-2002-2794[R]. Reston: AIAA, 2002.
[18] Wang P J, Xu Y M. Photogrammetry[M]. Wuhan: Wuhan University Press, 2005: 30-32 (in Chinese). 王佩军, 徐亚明. 摄影测量学(测绘工程专业)[M]. 武昌: 武汉大学出版社, 2005: 30-32.
/
| 〈 |
|
〉 |
CJA