Geometric Approximation Technique for Minimum Zone Sphericity Error
Geometric Approximation Technique for Minimum Zone Sphericity Error
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发表时间：
2005
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通讯作者：
何改云;王太勇;秦旭达;郭晓军
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作者：
何改云;王太勇;秦旭达;郭晓军
以径向分离中心最小为目标，建立了球度误差评定的数学模型。为了从形状数据中获得最小的球度误差，设计了一种几何逼近技术，该技术将最小二乘球心作为包含所有测量点的同心球体的初始中心，然后逐渐移动球心以减小径向分离，直至得到最小径向分离球心，此时所构造的同心球满足最小区域条件，以5个钢球为例，利用所开发的数据处理程序对测量数据进行处理，结果表明，该方法的平均迭代次数为4.2次，平均球度误差比最小二乘解小0.529 μm，准确率提高了7.696%。
The mathematical modeling for evaluation of the sphericity error is proposed with minimum radial separation center. To obtain the minimum sphericity error from the form data, a geometric approximation technique was devised.The technique regarded the least square sphere center as the initial center of the concentric spheres containing all measurement points,and then the center was moved gradually to reduce the radial separation till the minimum radial separation center was got where the constructed concentric spheres conformed to the minimum zone condition.The method was modeled firstly,then the geometric approximation process was analyzed,and finally,the software for data processing was programmed.As evaluation example,five steel balls were measured and the measurement data were processed with the developed program.The average iteration times of the approximation technique is 4.2,and on average the obtained sphericity error is 0.529 μm smaller than the least square solution,with accuracy increased by 7.696%.