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基于遗传算法的磨削力模型系数优化及验证OACSTPCD

Coefficient Optimization of Grinding Force Model Based on Genetic Algorithm

中文摘要英文摘要

在磨削力模型求解问题中,目前大多使用分段计算法或列方程组直接计算各个待求系数,不仅计算量大且其精度也无法保证.另外,传统的回归模型容易陷入局部最优,难以描述非线性关系.为此,将遗传算法引入到非线性优化函数参数优化中,基于外圆横向磨削力模型、平面磨削力模型、外圆纵向磨削力模型等现有的模型数据,开展磨削力理论模型的系数优化方法研究.相关性分析结果表明:通过计算得到的3种模型磨削力的预测精度提高了 14.69%~42.54%,且3种模型所预测的法向磨削力的平均误差分别为5.9%、9.13%、3.23%,切向力平均误差分别为6.78%、8.36%、3.69%.经对比知,优化后的模型拟合度较好,模型预测精度显著提高.遗传算法优化后的非线性优化函数GA-LSQ算法更适合磨削力模型的求解,可对磨削力的预测及实际加工生产中的参数优化提供参考.

When solving problems in the grinding force model,most of the methods of segmental calculation or col-umn equations were used to calculate each coefficient directly,which not only demanded a large amount of calcula-tion but also could not guarantee its accuracy.In addition the traditional regression model was easy to fall into local optimal,difficult to describe the nonlinear relationship.Therefore,the genetic algorithm was introduced into the parameter optimization of the nonlinear fitting function,and the coefficient optimization method of the theoretical model of grinding force was studied based on the existing model data such as the model of cylindrical transverse grinding,the model of plane grinding and the model of cylindrical longitudinal grinding.Correlation analysis results showed that the predicted accuracy of grinding force of the three models was increased by 14.69%-42.54%.The average error of normal grinding force predicted by the three models was 5.9%,9.13%and 3.23%,respectively.The mean error of tangential force was 6.78%,8.36%and 3.69%,respectively.Through comparison,it could be concluded that the optimized model had a better fitting degree,and the prediction accuracy of the model was signifi-cantly improved.The nonlinear fitting function GA-LSQ algorithm optimized by genetic algorithm was more suitable for solving grinding force model and could provide reference for predicting grinding force and parameter optimization in actual production.

王栋;张志鹏;赵睿;张君宇;乔瑞勇;孙少铮

郑州大学 机械与动力工程学院,河南 郑州 450001

机械工程

磨削力模型;外圆磨削;平面磨削;经验公式;模型系数优化;模型预测;遗传算法;非线性优化函数

grinding force model;cylindrical grinding;surface grinding;empirical formula;model coefficient opti-mization;model prediction;genetic algorithm;nonlinear optimization function

《郑州大学学报(工学版)》 2024 (001)

21-28 / 8

国家自然科学基金联合基金重点项目(U1804254)

10.13705/j.issn.1671-6833.2023.04.010

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