基于遗传算法的圆柱度误差评定方法

Cylindricity error evaluation based on genetic algorithms

建立了圆柱度误差最小区域评定的目标函数,并利用遗传算法对目标函数进行寻优.所建立的目标函数基于圆柱度误差最小区域定义,可以评定空间任意位置圆柱度误差的最小区域解,对测点无特殊要求.通过计算验证,该函数利用改进的遗传算法可以精确搜索到理想轴线的矢量方向并计算出圆柱度误差最小区域解,且计算结果稳定.该算法还可以推广用于圆柱轴线为基准的其它形位误差评定.

An objective function was proposed to evaluate the minimum zone cylindricity error. The error model was optimized by genetic algorithm（GA）. The mathematical model can work out the minimum zone solution of the cylindricity error with arbitrary position in space, and there are no special requirements in choosing measurement points. A test was given to prove that the optimal approximation solution to the cylinder axis＇ s vectors and minimum zone cylindricity can be worked out by the objective function. The approach can also be extended to solve other form and position errors when a cylinder axis is used as datum.