圆弧齿线圆柱齿轮接触应力预测模型研究  

Contact stress prediction model of cylindrical gear with arc tooth

作　　者：童钦 张祺 梁君 侯力[3] TONG Qin;ZHANG Qi;LIANG Jun;HOU Li(School of Mechanical and Electrical Engineering,Mianyang Normal University,Mianyang 621000,China;School of Intelligent Manufacturing,Panzhihua College,Panzhihua 617000,China;School of Mechanical Engineering,Sichuan University,Chengdu 610065,China)

机构地区：[1]绵阳师范学院机电工程学院,四川绵阳621000 [2]攀枝花学院智能制造学院,四川攀枝花617000 [3]四川大学机械工程学院,四川成都610065

出　　处：《机电工程》2020年第7期751-757,共7页Journal of Mechanical & Electrical Engineering

基　　金：国家自然科学基金资助项目(51875370,51375320);四川省科技计划项目(2018JY0420);过程装备与控制工程四川省高校重点实验室开放基金资助项目(GK201905)。

摘　　要：针对目前圆弧齿线圆柱齿轮尚无显示的接触应力计算理论公式,以分析参数对其接触应力影响的问题,采用Kriging代理模型,建立了圆弧齿线圆柱齿轮的设计参数(齿宽、模数、压力角、齿线半径)与圆弧齿线圆柱齿轮接触应力之间的显示数学模型。同时采用鲸鱼优化算法(WOA)对Kriging模型变异函数的参数进行了优化,利用优化变异函数参数的Kriging代理模型,建立了齿轮设计参数与接触应力之间的显示数学模型,并在MATLAB仿真平台中进行了验证。仿真及研究结果表明:改进后算法的精度评价指标得到了提升,预测误差范围由[-2,4]缩小到[0,3],模型精度得到了明显的提高;该研究结果能够为其优化设计参数,并为研究各参数对其接触应力影响的显著性分析提供更加精确的数学模型。Aiming at there is no explicitly theoretical formula for calculating contact stress of cylindrical gear with arc tooth to study the influence of the design parameters of cylindrical gear with arc tooth on its contact stress,the Kriging model based on whale optimization algorithm(WOA)was proposed to establish the explicitly mathematical model of the contact stress between the gear design parameters(tooth width,modulus,pressure angle,tooth line radius)and cylindrical gear with arc tooth.The whale optimization algorithm was applied to optimize the parameters of the variation function of the traditional Kriging model to improve its fitting accuracy,the Kriging model based on the optimized variational function parameters was used to establish the mathematical model of display between gear design parameters and contact stress,the proposed algorithm was realized in the MATLAB platform.The simulation results indicate that the precision evaluation index of the Kriging model based on whale optimization algorithm are improved,the error range is narrowed from[-2,4]to[0,3].The accuracy of the optimized Kriging model has been significantly improved,enabling it to optimize its design parameters and study the significance analysis of the impact of each parameter on its contact stress,providing a more accurate mathematical model.

关 键 词：圆弧齿线 圆柱齿轮 接触应力 代理模型 设计参数优化 

分 类 号：TH132.41[机械工程—机械制造及自动化]