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Axis Straightness Error Evaluation of Deep Hole by Least Square Method

机译：最小二乘法估算深孔轴直线度误差。

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Precision deep hole parts are widely used in industrial productions. Axis straightness error of deep hole parts is the diameter of the smallest cylindrical surface of all the measured points, which affects a series of important parameters. The axis of the hole parts is a spatial straight line. It is difficult to evaluate the axis straightness error of deep hole parts. For the low accuracy of the axis straightness evaluation with three-dimensional coordinates, an effective and accurate evaluation method for axis straightness error of deep hole parts was proposed. The mathematical model of axis straightness error of hole parts was established by the least square method based on the center of the measurement point set. Based on the least square lines, the point set was projected to the plane which is perpendicular to the least square line. So that the spatial problem is transformed into a plane problem and the axis straightness error was changed into the diameter of the minimum circumscribed circle. The Particle swarm optimization algorithm was used to solving the diameter of the minimum circumscribed circle. Then the diameter of the least square axis containment surface was obtained. Compared with other methods, this method can evaluate the axis straightness error of hole parts effectively and accurately.
机译：精密深孔零件广泛用于工业生产。深孔零件的轴平直度误差是所有测量点中最小圆柱面的直径，这会影响一系列重要参数。孔部分的轴是空间直线。很难评估深孔零件的轴直线度误差。针对三维坐标轴直线度评价精度低的问题，提出了一种有效，准确的深孔零件轴直线度误差评价方法。利用最小二乘法，基于测量点集的中心，建立了孔零件轴线平直度误差的数学模型。基于最小平方线，将点集投影到垂直于最小平方线的平面。从而将空间问题转换为平面问​​题，并将轴直线度误差更改为最小外接圆的直径。使用粒子群优化算法求解最小外接圆的直径。然后获得最小方轴容纳表面的直径。与其他方法相比，该方法可以有效，准确地评估孔部件的轴直线度误差。

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