激光熔覆工艺多目标优化问题的数学模型研究  

Study on mathematical model of multi-objective optimization of laser cladding process

作　　者：秦汉城 陈岩[1] QIN Hancheng;CHEN Yan(School of Information and Mathematics,Yangtze University,Jingzhou Hubei 434020,China)

机构地区：[1]长江大学信息与数学学院,湖北荆州434020

出　　处：《激光杂志》2022年第4期36-40,共5页Laser Journal

基　　金：十三五国家科技重大专项课题(No.2016ZX05025-004-003)。

摘　　要：激光熔覆工艺参数的合理性对金属工件的综合性能至关重要,为此以宽高比、稀释率与粉末收集率为字母表,研究激光熔覆工艺多目标优化问题的数学模型,提升金属工件的综合性能。利用层次分析法计算激光熔覆层宽高比、稀释率与粉末收集率的权重;通过综合加权法利用三个子目标权重构建多目标优化问题的数学模型;利用自适应遗传算子计算交叉率、变异率与最小距离,结合左右距离差值方法,改进非支配排序遗传算法,求解数学模型,提升求解的精准性。实验证明:所研究模型能够有效获取最优激光熔覆工艺参数,在宽高比为3.996、稀释率为9.53%、粉末收集率为0.629时,金属工件的耐磨性能最优,综合性能最好。The reasonableness of laser cladding process parameters is very important to the comprehensive performance of metal workpieces. Therefore, the mathematical model of multi-objective optimization problem of laser cladding process is studied by taking width to height ratio, dilution rate and powder collection rate as the matrix to improve the comprehensive performance of metal workpieces. The weights of width to height ratio, dilution rate and powder collection rate of laser cladding layer were calculated by analytic hierarchy process. The mathematical model of multi-objective optimization problem was established by using the weight of three sub-objectives. The crossover rate, mutation rate and minimum distance were calculated by using the adaptive genetic operator. Combined with the left-right distance difference method, the non-dominated sorting genetic algorithm was improved to solve the mathematical model and improve the accuracy of the solution. Experimental results show that the model can effectively obtain the optimal laser cladding process parameters. When the ratio of width to height is 3.996, the dilution rate is 9.53%, and the powder collection rate is 0.629, the metal workpiece has the best wear resistance and comprehensive performance.

关 键 词：激光熔覆 工艺 多目标 优化问题 数学模型 

分 类 号：TN244[电子电信—物理电子学]