间齿外啮合珩齿运动模型

    Kinematics Model for Tooth-skipped External Gear Honing

    • 摘要: 为了解决外啮合珩齿中出现的中凹齿形现象,将间齿啮合原理应用在齿轮珩磨加工技术中,提出了间齿珩齿加工方法,这种方法采用了特殊的跳牙蜗杆珩磨轮. 以齿轮齿条为例,利用运动学原理,建立了间齿珩齿全过程运动模型,这为间齿珩齿加工方法奠定了理论基础. 该模型综合考虑了齿条顶刃啮合过程、齿轮顶刃啮合过程和渐开线啮合过程,分析了被加工齿轮与齿条的运动关系,并推导了各段过程的分界点. 以具体齿轮为例,绘制了间齿珩齿过程中被加工齿轮的速度曲线. 结果表明:将间齿啮合原理应用于珩齿加工过程,对提高珩齿效率,改善齿轮质量有重要意义.

       

      Abstract: To solve the mid-concaved profile problem, a new honing process that uses an improved worm honing wheel was proposed based on the tooth-skipped gear meshing principle. It is called tooth-skipped external gear honing. Utilizing the kinematics principle, the kinematics model of the whole interval tooth honing process was established with an example of the rack and pinion, which lays the foundation of the interval tooth honing. This model took into consideration the rack addendum meshing process, the pinion addendum meshing process and the involute meshing process. The motion relationship of the rack and the pinion was analyzed, and boundary points of each process were deduced. Finally, the velocity curve of the gear processed was shown. Using the interval tooth meshing principle in honing is significant to increase the efficiency of honing and to improve the gear quality.

       

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