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从描述像空间坐标与物体空间坐标之间几何关系的共线方程出发,推导了风洞模型变形单相机测量试验中展向坐标不变假设诱导的物体空间坐标计算误差的公式。针对2m量级风洞试验段,分析了相机位于不同安装位置对坐标计算误差的影响。基于弹性变形中大展弦比风洞模型剖面近似保持刚性的物理特性,提出了一种展向位移补偿算法,用于减小或消除展向坐标不变假设诱导的空间坐标计算误差。最后,采用数学仿真方法对提出的展向位移补偿算法进行了评估,数据结果表明:在模型表面RX/RY和RZ/RY存在奇性、空间坐标计算结果误差较大需要修正的情况下,该补偿算法可以得到比较准确的展向位移计算结果,从而将空间坐标计算误差控制在比较合理的范围内。
Based on the collinear equation that describes the geometrical relationship between space coordinates and object space coordinates, the formula for calculating the space coordinate error of object induced by the invariant orientation coordinate invariance in wind tunnel model deformation single camera measurement experiment is deduced. For the 2m wind tunnel test section, the influence of the camera position in different installation positions on the error of coordinate calculation is analyzed. Based on the physical properties of the approximate large-aspect-ratio wind tunnel model sections that remain rigid during elastic deformation, a roll-out compensation algorithm is proposed to reduce or eliminate the calculation error of the space coordinates induced by the invariant ordinate. Finally, mathematical simulation method is used to evaluate the proposed roll-to-roll displacement compensation algorithm. The results show that when the RX / RY and RZ / RY of the model surface have singularity and the error of spatial coordinate calculation needs to be corrected, The compensation algorithm can get more accurate results of the spread-to-displacement calculation, so that the space coordinate calculation error can be controlled within a reasonable range.