Contact Stress Reliability Analysis Model for Cylindrical Gear with Circular Arc Tooth Trace Based on an Improved Metamodel  

作　　者：Qi Zhang Zhixin Chen Yang Wu Guoqi Xiang Guang Wen Xuegang Zhang Yongchun Xie Guangchun Yang 

机构地区：[1]School of Intelligent Manufacturing&Automobile,Chengdu Industrial Vocational Technical College,Chengdu,610218,China [2]School of Intelligent Manufacturing,Panzhihua University,Panzhihua,617000,China [3]School of Electrical Engineering,Chengdu Industry and Trade College,Chengdu,601165,China [4]School of Mechanical Engineering,Sichuan University,Chengdu,601165,China [5]Chengdu Technological University,Chengdu,611730,China

出　　处：《Computer Modeling in Engineering & Sciences》2024年第7期593-619,共27页工程与科学中的计算机建模（英文）

基　　金：supported by the National Natural Science Foundation of China(Project No.51875370);the Natural Science Foundation of Sichuan Province(Project Nos.2022NSFSC0454,2022NSFSC1975);Sichuan Science and Technology Program(Project No.2023ZYD0139);the University Key Laboratory of Sichuan in Process Equipment and Control Engineering(No.GK201905);Key Laboratory of Fluid and Power Machinery,Ministry of Education(No.LTDL2020-006).

摘　　要：Although there is currently no unified standard theoretical formula for calculating the contact stress of cylindrical gears with a circular arc tooth trace(referred to as CATT gear),a mathematical model for determining the contact stress of CATT gear is essential for studying how parameters affect its contact stress and building the contact stress limit state equation for contact stress reliability analysis.In this study,a mathematical relationship between design parameters and contact stress is formulated using the KrigingMetamodel.To enhance the model’s accuracy,we propose a new hybrid algorithm that merges the genetic algorithm with the Quantum Particle Swarm optimization algorithm,leveraging the strengths of each.Additionally,the“parental inheritance+self-learning”optimization model is used to fine-tune the KrigingMetamodel’s parameters.Following this,amathematicalmodel for calculating the contact stress of Variable Hyperbolic Circular-Arc-Tooth-Trace(VH-CATT)gears using the optimized Kriging model was developed.We then examined how different gear parameters affect the VH-CATT gears’contact stress.Our simulation results show:(1)Improvements in R2,RMSE,and RMAE.R2 rose from0.9852 to 0.9974(a 1.22%increase),nearing 1,suggesting the optimized Kriging Metamodel’s global error is minimized.Meanwhile,RMSE dropped from3.9210 to 1.6492,a decline of 57.94%.The global error of the GA-IQPSO-Kriging algorithm was also reduced,with RMAE decreasing by 58.69%from 0.1823 to 0.0753,showing the algorithm’s enhanced precision.In a comparison of ten experimental groups selected randomly,the GA-IQPSO-Kriging and FEM-based contact analysis methods were used to measure contact stress.Results revealed a maximum error of 12.11667 MPA,which represents 2.85%of the real value.(2)Several factors,including the pressure angle,tooth width,modulus,and tooth line radius,are inversely related to contact stress.The descending order of their impact on the contact stress is:tooth line radius>modulus>pressure angle>tooth width.(3)Com

关 键 词：CATT gear contact stress finite element method METAMODEL hybrid algorithm influencing factors 

分 类 号：O17[理学—数学]