基于UG的渐开线_圆弧齿轮的数学建模及仿真.pdf

基于 U G 的渐开线 - 圆弧齿轮的数学建模及仿真 张 　伟 ,何家宁 ,李 　强 ( 昆明理工大学 机电工程学院 ,云南 昆明 650093) 摘 　要 :从传统的渐开线齿轮出发 ,讨论其存在的传动问题 ,从而引出了对齿廓进行修形的渐开线 - 圆弧齿轮 。首先 ,基于 U G/ N X 参数化地建立齿轮模型 ,理论上对比分析了渐开线 - 圆弧齿轮与渐开 线 —直齿轮的弯曲应力 。其次 ,在 U G/ N A STRAN 环境下进行接触应力的仿真分析 ,并且将仿真结果与 理论计算进行比较 ,验证仿真的正确性 。最后 ,从理论上说明了渐开线 - 圆弧齿轮对弯曲疲劳寿命的改 善 。通过本文的研究 ,将为渐开线 - 圆弧齿轮的优化设计及实际加工制造提供理论依据 。 关键词 :渐开线圆弧齿轮 ;数学建模 ;U G ;弯曲疲劳寿命 中图分类号 : T H 132 ; TP 39 1. 7 　　文献标志码 :A Mathematical Model ing and Simulation of the Involutecircular Arc Gears based on UG ZHAN G Wei , H E J ia’ning , L I Qiang ( Faculty of Mechanical and Electrical Engineering , Kunming Univer sity of Science and Technology , Kunming 650093 , China) Abstract :The p ap er st art ed f rom t he t raditional involut ecircular gear s , t ho se exi sting t ran smi ssion p roblem s were di s cu ssed , t hen elicit s t he involut ecircular arc gear s who se toot h p rofiles were mo dified . Fir stly , t he gear s mo del wa s built based on t he U G/ N X. Theoretically , t he bending st ress of t he gear s between t he involut ecircular arc gear s and t he t radi tional involut e gear s wa s analyzed . Secondly , t he simulation analysi s of cont act st ress wa s conduct ed under t he circumst ance of U G/ N A STRAN and t he simulation result s were comp ared wit h t heoretical calculation so t hat t he validit y of simulation wa s verified . Finally , t he bend fatigue life of t he involut ecircular arc gear s wa s verified t hat which got imp roved from t he point of t heory . Through t he st udy of t hi s p ap er , t he t heoretical ba si s for t he op timum design and p ractical manufact uring are p rovided for t he gear s.