基于正多边形搜索算法的圆度误差评定

2018-10-19

作者：王生怀1，2，王杰2，徐风华1 单位：1湖北汽车工业学院; 2华中科技大学

摘要：针对求解圆度误差计算复杂的问题，采用正多边形搜索算法进行圆度误差评定，并详细论述了该圆度误差评定方法的原理和计算步骤。该方法先以被评定圆的最小二乘圆圆心为中心，设置一定边长的正多边形，再分别以各正多边形顶点为圆心，计算被评定圆各测量点的半径值。通过多次比较、判断和设置正多边形，获得符合相关标准规定的圆度误差值。仿真和实验结果表明，提出的基于正多边形搜索算法的圆度误差评定方法能实现圆度误差的精确评定。

关键词：圆度误差；圆度评定；正多边形；搜索算法

中图分类号：TG702；TH161文献标志码：A

Roundness Error Evaluation Based on Equilateral Polygon Search Algorithm

Wang Shenghuai，Wang Jie，Xu Fenghua

Abstract:For the complex problem of calculating roundness error，the equilateral polygon search algorithm is used for roundness error evaluation.The principle and calculation steps of the evaluation method for roundness error are described in detail.The proposed method is that a series of certain length of equilateral polygons are set with the center of the least square circle of the evaluated circle firstly，the radius values of every evaluated points are calculated using every vertex of the equilateral polygon as the new center secondly.Roundness error values according to relevant standards are obtained through some times of comparing，judging and setting the equilateral polygons.Simulation and experiment results indicate that the precision evaluation of roundness error can be satisfied by the introduced evaluation method of roundness error based on equilateral polygon search algorithm.

Keywords:roundness error；roundness evaluation；equilateral polygon；search algorithm