首页|期刊导航|湖南大学学报(自然科学版)|弹性模量-温度效应对POM齿轮副啮合刚度的影响

弹性模量-温度效应对POM齿轮副啮合刚度的影响OA

Influence of Young's modulus-temperature effect on mesh stiffness of POM spur gear pair

中文摘要英文摘要

随着高强度工程塑料的出现,塑料齿轮开始广泛应用于动力传动,但其力学性能参数对温度非常敏感.为准确评估不同温度下聚甲醛(polyoxymethylene,POM)齿轮副的啮合刚度,提出了引入弹性模量-温度效应的塑料齿轮副时变啮合刚度计算方法.首先,结合齿轮脂润滑与对流换热理论,计算了齿轮的摩擦热流密度及对流换热系数,并通过温控拉伸试验获取了POM材料的弹性模量-温度曲线.随后,基于有限单元法构建了含弹性模量-温度效应的齿轮热弹接触模型,并与Blok闪温理论计算的温度对比,验证了其准确性.最后,基于该模型研究了POM圆柱直齿轮副啮合过程的温度场、应力场以及环境温度、转矩、转速对啮合刚度的影响.结果表明:弹性模量-温度效应对塑料齿轮副的稳态温度场影响甚小;但低温时可强化塑料齿轮的啮合刚度,高温也会明显弱化啮合刚度.因此,评估塑料齿轮刚度时,应当考虑温升及模量-温度效应的影响,以避免高估齿轮啮合刚度带来的设计风险.

With the emergence of high-strength engineering plastics,plastic gears have begun to be widely adopted in power transmission.However,their mechanical properties exhibit significant temperature sensitivity.To accurately evaluate the meshing stiffness of polyoxymethylene(POM)gear pairs under varying temperatures,this paper proposes a calculation method for the time-varying meshing stiffness of plastic gear pairs that incorporates the Young's modulus-temperature effect.Firstly,combined with the theories of gear grease lubrication and convective heat transfer,the frictional heat flux density and convective heat transfer coefficient of the gears were calculated,and the Young's modulus-temperature curve of the POM material was obtained through a temperature-controlled tensile test.Subsequently,a thermoelastic contact model of the gear considering the Young's modulus-temperature effect was constructed based on the finite element,and then verified by the Blok flash temperature theory.Finally,based on this model,the temperature field and stress field during the meshing process of the POM spur gear pair,as well as the influences of ambient temperature,torque,and rotational speed on the meshing stiffness,were studied.The research results show that the Young's modulus-temperature effect has a negligible impact on the steady-state temperature field of plastic gear pairs.However,it can enhance the meshing stiffness of plastic gears at low temperatures,while it will also significantly weaken the meshing stiffness above room temperature.Therefore,when evaluating the meshing stiffness of plastic gears,the influences of temperature rise and modulus-temperature effect should be taken into account to avoid the design risks caused by overestimating the gear meshing stiffness.

胡波;邓启峰;董建雄;汪红兵;尹来容

长沙理工大学 机械与运载工程学院,湖南 长沙 410014||长沙理工大学 工程车辆安全性设计与可靠性技术湖南省重点实验室,湖南 长沙 410114||机械工业机器人中小型关节重点实验室,广东德晟智能科技有限公司,广东 佛山 528051长沙理工大学 机械与运载工程学院,湖南 长沙 410014长沙理工大学 机械与运载工程学院,湖南 长沙 410014||长沙理工大学 工程车辆安全性设计与可靠性技术湖南省重点实验室,湖南 长沙 410114长沙理工大学 机械与运载工程学院,湖南 长沙 410014||长沙理工大学 工程车辆安全性设计与可靠性技术湖南省重点实验室,湖南 长沙 410114||机械工业机器人中小型关节重点实验室,广东德晟智能科技有限公司,广东 佛山 528051长沙理工大学 机械与运载工程学院,湖南 长沙 410014||长沙理工大学 工程车辆安全性设计与可靠性技术湖南省重点实验室,湖南 长沙 410114

机械制造

弹性模量-温度效应时变啮合刚度热弹接触模型POM齿轮

Young's modulus-temperature effecttime-varying meshing stiffnessthermoelastic contact modelPOM gears

《湖南大学学报(自然科学版)》 2026 (2)

109-121,13

国家自然科学基金资助项目(52375038,52405053,52205049),National Natural Science Foundation of China(52375038,52405053,52205049)湖南省科技创新计划资助项目(2024RC3168,2024RC1054),Science and Technology Innovation Program of Hunan Province(2024RC3168,2024RC1054)湖南省自然科学基金资助项目(2025 JJ50320,2023JJ40034),Natural Science Foundation of Hunan Province(2025JJ50320,2023JJ40034)

10.16339/j.cnki.hdxbzkb.2026161

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