基于热弹-黏塑性本构的POM材料齿轮副啮合特性分析  

Meshing Characteristics Analysis of POM Gear Based on Thermoelastic-viscoplastic Constitutive Model

作　　者：刘明勇[1] 韩新光 欧阳周寰 胡俊[1] 闫春爱 LIU Mingyong;HAN Xinguang;OUYANG Zhouhuan;HU Jun;YAN Chunai(Hubei Engineering Technology Research Center for Intelligent Agricultural Machinery,Hubei University of Technology,Wuhan 430068,China;Wuchang Institute of Technology,College of Intelligent Manufacturing,Wuhan 430065,China)

机构地区：[1]湖北工业大学湖北省农机装备智能化工程技术研究中心,湖北武汉430068 [2]武昌工学院智能制造学院,湖北武汉430065

出　　处：《工程科学与技术》2025年第2期159-170,共12页Advanced Engineering Sciences

基　　金：湖北省农机装备补短板核心技术应用攻关项目(HBSNYT202221);现代制造质量工程湖北省重点实验室开放课题(KFJJ-2022013)。

摘　　要：为揭示负载、修形和温度对聚甲醛(POM-POM)齿轮副啮合特性的影响,建立热弹-黏塑性材料本构的POM-POM齿轮副3维有限元接触模型;结合POM材料的温度-模量效应,开展温度-应力顺序耦合的稳态热分析,并与POM-POM齿轮副温度服役测试结果对比;在稳态热分析基础上,进行完全耦合瞬态热接触分析,并将瞬态温升与Blok温度结果对比;通过齿根应变试验,验证不同负载工况下齿根应变计算的有效性。结果表明:齿轮副的稳态温升呈现齿根高、齿顶与端面较低的分布规律,并随负载增大而上升;通过试验对比得到,有限元计算齿轮稳态温升与试验结果一致,且瞬态温升与Blok公式结果一致;POM-POM齿轮副仿真齿根应变位于试验测试应变误差带内,表明考虑温度-模量效应的热弹-黏塑性材料本构能够表征POM塑料齿轮的热学特性和力学特性。此外,POM-POM齿轮副传动过程中出现啮合线延长且偏离理论位置,且温度对啮合线影响较小。齿面修形可降低其啮合线长度,但不能改善其偏转程度;啮合角在啮入和啮出时会出现较大的变化,温度使其啮合角在双齿啮合区域上升约1℃。啮合刚度与负载相关,随着负载增加,啮合刚度下降且重合度上升。同等条件下,POM-POM齿轮副的传递误差幅值约是金属齿轮副的10倍,且温度使传递误差幅值上升约39%,齿面修形可降低24%左右的传递误差幅值。In order to reveal the influence of load,modification and temperature on the meshing characteristics of POM-POM gear pair,a threedimensional finite element contact model of POM-POM gear pair based on thermoelastic-viscoplastic material constitutive model was established.At the same time,combined with the temperature-modulus effect of POM material,the steady-state thermal analysis of temperature-stress sequential coupling was carried out,and compared with the temperature service test results of POM-POM gear pair.Based on the steady-state thermal analysis,the fully coupled transient thermal contact analysis was carried out,and the transient temperature rise was compared with the Blok temperature results.Through the tooth root strain test,the validity of the tooth root strain calculation under different load conditions is verified.The results show that the steady-state temperature rise of the gear pair presents the distribution law of high tooth root,low tooth top and end face,and increases with the increase of load.Through the test comparison,the steady-state temperature rise of the gear calculated by the finite element method is consistent with the test results,and the transient temperature rise is consistent with the Blok formula.At the same time,the simulated tooth root strain of POM-POM gear pair is located in the strain error band of the experimental test,which shows that the thermoelastic-viscoplastic material constitutive considering the temperature-modulus effect can characterize the thermal and mechanical properties of POM plastic gear.In addition,the meshing line of POM-POM gear pair is extended and deviated from the theoretical position during the transmission process,and the temperature has little effect on the meshing line.The tooth surface modification can reduce the length of the meshing line,but can not improve the deflection degree.The meshing angle will change greatly when it is in and out of the meshing,and the temperature makes the meshing angle rise about in the double-tooth meshing area.The me

关 键 词：黏塑性 POM齿轮 啮合刚度 传递误差 

分 类 号：TH132.41[机械工程—机械制造及自动化]