基于MOPSO的斜齿轮传动几何参数多目标优化设计  

Multi-objective optimization design of helical gear transmission geometric parameters based on MOPSO

作　　者：付志远 金隼 李冰[1,2] 付学中 刘通 韩明阳 FU Zhiyuan;JIN Sun;LI Bing;FU Xuezhong;LIU Tong;HAN Mingyang(School of Mechanical and Automotive Engineering,Guangxi University of Science and Technology,Liuzhou 545006,China;Guangxi Collaborative Innovation Center of Earthmoving Machinery,Liuzhou 545006,China;Semat Transmission Technology Co.,Ltd.,Chongqing 401120,China)

机构地区：[1]广西科技大学机械与汽车工程学院,柳州545006 [2]广西土方机械协同创新中心,柳州545006 [3]赛玛特传动技术有限公司,重庆401120

出　　处：《现代制造工程》2023年第1期64-69,56,共7页Modern Manufacturing Engineering

基　　金：广西科技计划项目(桂科AD22080042);广西自然科学基金项目(2021JJA160278);广西科技重大专项项目(桂科AA22068064);广西重点研发计划项目(桂科AB22035066)。

摘　　要：斜齿轮作为机械设备传动装置中的主要零/部件,应用较为广泛。为了避免在使用过程中斜齿轮部分轮齿因强度低而发生提前失效的情况,综合考虑变位系数、齿数和模数等对齿轮强度的影响,建立以斜齿轮几何参数为设计变量,以斜齿轮副满足强度、重合度和齿顶厚度要求等为约束条件,以斜齿轮副齿根最大弯曲应力的差值最小、齿面接触应力最小为优化目标的数学模型,利用多目标粒子群优化(Multi-Objective Particle Swarm Optimization,MOPSO)算法编写相应的Matlab程序,对所建立的数学模型进行优化求解,并通过MASTA软件对优化前、后齿轮副进行仿真分析。结果表明,在满足设计条件的情况下,斜齿轮副弯曲强度差值与齿面承载能力均有所改善。该研究为斜齿轮宏观几何参数的优化设计提供了参考。Helical gear as the main parts of mechanical equipment transmission device,it is widely used.In order to avoid the early failure of some helical gear teeth due to low strength in the process of use,the influence of displacement coefficient,tooth number and modulus on gear strength was comprehensively considered.The geometric parameters of helical gear were set as design variables,and the strength,overlap degree and tooth top thickness requirements of helical gear pair were set as constraints.A mathematical model was constructed with minimizing the difference of the maximum bending stress of helical gear pair and the contact stress of tooth surface as the optimization objective.Multi-Objective Particle Swarm Optimization(MOPSO)algorithm was used to write the corresponding Matlab program to optimize and solve the mathematical model.And MASTA software was used to simulate and analyze the gear pair before and after the optimization.The results show that the bending strength difference of helical gear pair and the bearing capacity of tooth surface are improved when the design conditions are met.This study provides a reference for the optimization design of helical gear macroscopic geometric parameters.

关 键 词：斜齿轮 几何参数 等弯曲强度 齿面承载能力 多目标粒子群优化算法 

分 类 号：TH132.417[机械工程—机械制造及自动化]