修形齿廓内平动摆线针轮减速器传动性能分析

Analysis of transmission performance of modified tooth profile internal translational cycloidal pinwheel reducer

  • 摘要: 文章以内平动摆线针轮减速器为研究对象,分析了不同修形量下的组合修形对其传动性能的影响。首先,分析了同时考虑等距与移距修形时内平动摆线轮与针轮间的啮合间隙,再根据变形协调理论进行数值求解,得到同一负载下不同修形量的减速器的最大啮合力、实际啮合齿数与啮合效率;其次,根据啮合齿数的变化规律和赫兹公式求解内平动摆线针轮啮合系统的时变刚度,并根据减速器结构推导减速器的动力学模型;再次,建立减速器三维模型并进行动力学仿真,验证了动力学模型的可靠性;最后,通过动力学求解明确了不同修形量对减速器最大传动误差的影响规律。经过研究发现等距与移距修形量的增大都会使减速器的啮合齿数减少、最大啮合力变大且啮合效率会微小地上升;但修形量变化并不会线性地影响最大传动误差的大小,需要结合具体修形量去判断。

     

    Abstract: The effects of combined modification with different modification amounts on the transmission performance of an internal translational cycloidal pinwheel reducer were investigated. Firstly, the meshing clearance between the internal translational cycloidal gear and the pin gear was analyzed by simultaneously considering equidistant and radial modification. Secondly, based on the deformation compatibility theory, numerical calculations were performed to obtain the maximum meshing force, actual number of meshing teeth, and meshing efficiency of the reducer under the same load with different modification amounts. Furthermore, according to the variation law of the number of meshing teeth and the Hertzian contact theory, the time-varying meshing stiffness of the internal translational cycloidal pinwheel meshing system was calculated, and a dynamic model of the reducer was established based on its structural characteristics. A three-dimensional model of the reducer was also established, and dynamic simulations were carried out to verify the reliability of the dynamic model. Finally, through dynamic analysis, the influence of different modification amounts on the maximum transmission error of the reducer was clarified. The results showed that increasing either the equidistant or radial modification amount led to a reduction in the number of meshing teeth, an increase in the maximum meshing force, and a slight improvement in meshing efficiency. However, the variation in modification amount did not have a linear effect on the maximum transmission error, and specific modification values needed to be considered for accurate evaluation.

     

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