基于转动惯量算法的空间直线度误差评定方法研究

Spatial straightness error assessment based on moment of inertia algorithm

针对空间直线度误差评定的问题,对空间直线度误差评定基线的选择、转动惯量、坐标转换与投影、最小覆盖圆等方面进行了研究。引入了空间直线度测量数据的数学模型、转动惯量计算、离散点坐标变换与投影、最小覆盖圆程序,提出了一种基于转动惯量的算法,以便于离散点投影到垂直于惯量主轴的平面上;利用MATLAB软件对空间直线度误差进行了实例计算,并将其结果与其他算法的计算结果进行了分析比较。研究结果表明:该算法精度较高,能够得出精确度较高的空间直线度误差,可以实现高效的空间直线度误差评定,适用于精度要求高的场合,具有一定的工程实用价值。

Aiming at the problem of spatial straightness error assessment,experimental study on the selection of the baseline for the spatial straightness error assessment,moment of inertia,coordinate conversion,and projetion,minimum coverage circle,etc.Introducing mathematical model of spatial straightness measurement data,the calculation of the moment of inertia,discrete point coordinate conversion,and projection,minimum coverage circle programming,an algorithm based on the moment of inertia was proposed,so that the discrete points were projected onto the projection plane perpendicular to the main axis of inertia and the spatial straightness error was calculated by MATLAB software,the calculated results were compared with those of the other algorithms.The results show that this algorithm has high precision,and can obtain spatial straightness error with high accuracy,and can realize efficient spatial straightness error assessment.It is suitable for high precision occasions,and has certain practical value of engineering.