摘要
针对渐开线少齿数齿轮副因齿面接触应力大导致承载能力低而难以广泛应用的问题,提出了一种能够实现凹凸弧齿廓啮合的基于正弦曲线齿条刀具加工的S型齿廓.给出了齿条刀具正弦函数的曲线方程,推导了S型齿廓数学模型,建立了S型齿廓少齿数齿轮的几何模型,分析了S型齿廓的诱导法曲率的计算方法,开展了齿轮副接触应力的有限元仿真分析,并与渐开线少齿数齿轮作了对比分析.结果表明,相互共轭啮合的S型齿廓齿轮副具有相同的齿廓方程形式,能够用一把齿条刀具或滚刀加工,且能较大幅度地提高少齿数齿轮副的承载能力.
The large contact stress of involute gear pair with small number of teeth causes a low load-carrying capac-ity and failure in wide application. To solve this problem,an S-shaped tooth profile was proposed that couldachieve concave-convex profile meshing based on sinusoidal rack tool. A curvilinear equation of sinusoidal rack tool was introduced,a mathematical model of S-shaped tooth profile was deduced,and a geometry model of S-shaped tooth profile with small number of teeth was established. Then,the calculation method of induced normal curvature of S-shaped tooth profile was analyzed,simulation analysis on the contact stress of gear pair was conducted by FEM,and finally a comparative analysis on S-shaped tooth profile gear and involute gear with small number of teeth wasmade. The results show that the S-shaped tooth profile gear pair with mutual conjugate meshing shares the same equation,and one common rack tool or hob can be used to machine them,improving greatly the load-carrying capacity of the gear pair with small number of teeth.
出处
《天津大学学报（自然科学与工程技术版）》
EI
CSCD
北大核心
2016年第7期702-708,共7页
Journal of Tianjin University：Science and Technology
基金
国家自然科学基金资助项目(51175369)
关键词
S型齿廓
渐开线
少齿数齿轮
齿轮
S-shaped tooth profile
involute
gear with small number of teeth
gear
