Method for sphericity error evaluation using geometry optimization searching algorithm

Method for sphericity error evaluation using geometry optimization searching algorithm
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利用几何优化搜索算法评估球度误差的方法

DOI:
10.1016/j.precisioneng.2015.04.005
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发表时间:
2015-10
期刊:
Precision Engineering
影响因子:
--
通讯作者:
Pan Weimin
Pan Weimin
中科院分区:
其他
文献类型:
--
作者:
Lei Xianqing;Gao Zuobin;Duan Mingde;Pan Weimin

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根据球度误差的几何特征,提出了一种基于几何优化搜索法的球度误差评定新算法。首先建立基准点,并利用测量点计算初始误差,然后以基准点为基准点配置一个边长为f的正六面体,以六面体的每个顶点为被测球面的圆心,计算出所有测量点半径的最大差值。第三,通过比较初始误差和半径的最大差值来改变六面体的参考点或边长。逐步得到了相应评定方法(包括最小区域球法(MZS)、最小外接球法(MCS)和最大内接球法(MIS))球度误差值。详细阐述了用该算法求解球度误差的原理和步骤,给出了数学公式和程序流程图。实验结果表明,该算法能有效、准确地评定球度误差。
According to geometrical characteristics of the sphericity error, a new evaluation algorithm for sphericity error based on geometry optimization searching method has been presented. First, the reference point is established and the initial error is calculated by using the measured points, Second, a regular hexahedron of side lengthfis collocated by taking the reference point as datum point, and the maximum difference of the radius of all measured points are calculated by regarding each vertex of the hexahedron as the centre of the measured spherical surface. Third, the reference point or side length of the hexahedron is changed by comparing the initial error and the maximum difference of the radius. Step by step, the sphericity error value of corresponding evaluation method (including Minimum Zone Sphere method (MZS), Minimum Circumscribed Sphere method (MCS) and Maximum Inscribed Sphere method (MIS)) are obtained. The principle and the steps of using the algorithm to solve the sphericity error are described in detail and the mathematical formula and program flowchart are given. The experimental results show that the sphericity error can be evaluated effectively and exactly with this algorithm.
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