基于快速搜索球心的球度评定方法

提出一种基于快速搜索球心的球度评定方法。通过建立的数学模型和搜索流程,快速搜索并找到两个同心球和球心。首先,采用最小二乘法拟合球面轮廓的近似球心,并获得距离该球心的最远点和最近点,确定球心移动方向;然后,结合设置的步长值搜索下一个球心;最后多次迭代计算直至球度符合最小区域评定准则。实验结果表明:该方法与区域搜索法相比,球度计算误差<1μm,计算效率提高7倍,能够快速实现球度误差的精确评定,符合工程应用需求。

Sphericity Evaluation Method Based on Quick Search of Spherical Center

A sphericity evaluation method based on quick search of spherical center is proposed. Through the established mathematical model and search process, two concentric spheres and the center of the sphere are quickly searched and found. Firstly, use the least squares method to fit the center of the sphere to obtain the farthest point and the closest point from the sphere center to determine the direction of motion of the center of the sphere. Then search for the next center of the sphere in combination with the set step value. Finally, perform multiple iterations calculate until the sphericity meets the requirements. The experimental results show that the sphericity calculation error of the algorithm is less than 1μm, and the calculation efficiency is improved by 7 times, compared with the area search method. It can quickly realize accurate evaluation of sphericity error, meeting the needs of engineering applications.