Tooth Profile Equation and Interference Analysis of the Two-tooth Difference Steel Ball Movable Tooth Transmission
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摘要: 对一种二齿差钢球活齿传动的齿廓方程及齿廓干涉进行了研究.分析了装置的传动原理及啮合副结构,基于转速变换和包络原理建立了动、定盘封闭槽齿廓方程;推导了定盘封闭槽齿廓的主曲率及主曲率半径公式;通过分析干涉现象与发生规律,给出避免定盘封闭槽发生齿廓干涉需要满足的设计条件.相关的公式与结果可作为二齿差钢球活齿传动齿廓设计与加工的分析基础与依据.Abstract: The tooth profile equation and tooth profile interference of a type of two-tooth difference steel ball movable tooth transmission were studied. The transmission principle and mesh-pair structure of the transmission equipment were analyzed,and the tooth profile equations of the closed grooves on moving and fixed discs were established based on the rotational speed conversion and envelope theory. The main curvature and main curvature radius formulae of the closed groove tooth profile on the fixed disc were deduced. The design condition of no tooth profile interference appearance on the closed groove of the fixed disc was put forward through the tooth profile interference and its occurring characteristics were investigated. The equations and results can be adopted as the analysis basis and foundation for tooth profile designing and manufacturing of the two-tooth difference steel ball movable tooth transmission equipment.
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