大重合度内啮合新型齿形齿轮性能研究
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摘要
针对双态逻辑传动技术的发展要求,提出了一种具有大重合度特性的新型齿廓齿轮。利用齿轮啮合原理,建立了新型齿轮的齿廓方程;基于能量积分法,建立了齿轮的扭转刚度模型,并揭示了齿间载荷分配特性;根据赫兹接触理论和弹性力学,推导了齿面接触应力和齿根弯曲应力的解析表达式,并利用显式动力学进行有限元分析。结果表明:新型齿形齿轮具有重合度大、受力小、承载能力高等优点,是一种理想的高性能重载传动齿轮。
In order to meet the requirements of binary logic transmission technology, a novel toothed gear with high contact ratio is proposed in this article. Based on the gear-meshing principle, the tooth-profile equation of the new gear is set up; based on the energy-integration method, the torsional stiffness model of the new gear is set up and the characteristics of load distribution between the teeth are identified. According to the Hertz Contact Theory and elastic mechanics, the analytical expressions of the tooth surface contact stress and the tooth root's bending stress are derived; the finite element analysis is carried out with the aid of explicit dynamics. The results show that the novel toothed gear has the advantages of high contact ratio, small force and large bearing capacity, which is an ideal high-performance heavy-duty transmission gear.
In order to meet the requirements of binary logic transmission technology, a novel toothed gear with high contact ratio is proposed in this article. Based on the gear-meshing principle, the tooth-profile equation of the new gear is set up; based on the energy-integration method, the torsional stiffness model of the new gear is set up and the characteristics of load distribution between the teeth are identified. According to the Hertz Contact Theory and elastic mechanics, the analytical expressions of the tooth surface contact stress and the tooth root's bending stress are derived; the finite element analysis is carried out with the aid of explicit dynamics. The results show that the novel toothed gear has the advantages of high contact ratio, small force and large bearing capacity, which is an ideal high-performance heavy-duty transmission gear.
引文
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[13]尚小江,苏建宇,王化峰,等.ANSYS/LS-DYNA动力分析方法与应用[M].2版.北京:中国水利水电出版社,2008.
[2]John H Kerr.Incrementally variable transmiss:Canada,4559848[P].1985-12-24.
[3]唐沛,吕庆军,李慎龙,等.新型双内啮合行星齿轮传动性能分析[J].制造业自动化,2015(11):84-86.
[4]张发民.高速重载齿轮齿形研究及其仿真[D].北京:北京理工大学,2006.
[5]唐沛,吕庆军,李慎龙,等.一种新型齿轮齿形设计方法及啮合性能研究[J].机械设计,2017,34(10):85-89.
[6]李特文.齿轮啮合理论[M].上海:上海科技出版社,1984.
[7]Cornell R W.Compliance and stress sensitivity of Spur Gear Teeth[J].Journal of Mechanical Design,1981,103(2):447-459.
[8]Sainsot P,Velex P,Duverger O.Contribution of gear body to tooth deflections-a new bidimensional analytical formula[J].Journal of Mechanical Design,2004,126(4):748-752.
[9]唐沛,刘亚成,李慎龙,等.新型大重合度齿廓齿轮时变啮合刚度研究[J].车辆与动力技术,2016(4):11-16.
[10]唐增宝,钟毅芳.斜齿圆柱齿轮传动的静态啮合刚度和动态啮合刚度[J].机械设计,1993(6):10-13.
[11]唐进元,王志伟,雷敦财.载荷与齿轮啮合刚度、重合度的关系研究[J].机械传动,2014,38(6):1-3.
[12]安春雷.点蚀和剥落对齿轮扭转刚度影响的研究[D].太原:太原理工大学,2008.
[13]尚小江,苏建宇,王化峰,等.ANSYS/LS-DYNA动力分析方法与应用[M].2版.北京:中国水利水电出版社,2008.