基于快速搜索球心的球度评定方法  

Sphericity Evaluation Method Based on Quick Search of Spherical Center

作　　者：盛东良 郝娟[2] 盛庆元[1] 詹剑良 SHENG Dong-liang;HAO Juan;SHENG Qing-yuan;ZHAN Jian-liang(School of Electromechanical Engineering&Transportation,Shaoxing Vocational&Technical College,Shaoxing,Zhejiang 312000,China;School of Mechanical Engineering,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]绍兴职业技术学院机电工程与交通学院,浙江绍兴312000 [2]北京理工大学机械与车辆学院,北京100081

出　　处：《计量学报》2023年第1期49-53,共5页Acta Metrologica Sinica

摘　　要：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。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.

关 键 词：计量学 球度 评定方法 快速搜索球心 最小二乘法 区域搜索法 

分 类 号：TB921[一般工业技术—计量学]