基于改进遗传算法评定圆柱度误差

Cylindricity Error Evaluation Based on an Improved Genetic Algorithm

针对圆柱度误差评定的特点,提出了一种基于实数编码的改进遗传算法同时实现圆柱度误差的最小区域法、最小外接圆柱法和最大内接圆柱法评定。同时建立了用遗传算法实现圆柱度误差最小区域法、最小外接圆柱法和最大内接圆柱法评定时目标函数数学模型的计算方法。通过不同评价方法对圆柱度误差在不同初始值下进行多次评定,证明该方法都能收敛到全局最优解,而且计算结果稳定。该算法可以推广应用到其它形状误差评定中。

According to the characteristics of cylindricity error evaluation, a novel improved genetic algorithm (IGA) based on real-code is proposed to evaluate the minimum zone cylinder (MZC), the minimum circumscribed cylinder (MCC) and the maximum inscribed cylinder (MIC) errors simultaneously. Compared with conventional evaluation methods, it has the advantages of simple algorithms, strong robustness and high optimization efficiency. Then, the objective function calculation approaches for using the IGA to evaluate MZC, MCC and MIC errors are formulated. Finally, the experiment results evaluated by different methods indicate that the proposed method does provide better accuracy on cylindricity evaluation. The IGA can also be extended to other form errors evaluation.