Prediction program for Nonlinear vibration caused by gear surface separation in planetary gear trains

在小尺寸行星齿轮系的情况下，太阳轮轴被设计为没有轴承的浮动太阳轮。在这种情况下，太阳齿轮轴的位置取决于行星齿轮和太阳齿轮重量的三个力的平衡。这种机制被称为自定心过程，这是众所周知的，但该机制没有详细研究。由于行星齿轮系的齿轮之间有一定的间隙，太阳轮会引起各种振动。太阳轮轴的振动现象十分复杂，理论分析还没有进行，本文用实验方法研究了太阳轮轴在转速增加和负载转矩较小时的振动情况。分析了行星轮系的振动机理，提出了行星轮系振动的仿真程序，并对计算结果进行了检验，结论;（1）太阳轮的可动面积可以用齿隙的大小来计算。(2)自动定心过程可以解释为齿轮啮合面的变化。通过计算，可以由载荷扭矩的大小来确定啮合面，并得到自定心轨迹。(3)提出了振动的模拟方法，并将计算结果与实验结果进行了比较。计算结果与实验结果吻合较好。(4)设计人员可以在生产前模拟振动，以改变振动系统的参数。

In the case of small size of planetary gear trains, the sun gear shaft is designed as foating sun gear which does not have bearings. In such case, the position of the sun gear shaft is determined on the balance of the three forces from the planetary gears and the sun gear weight This mechanism is called Self-centering process and is well-known, but the mechanism does not have examined in detail. Because a planetary gear trains have some back lash between gears, the sun gear causes various kinds of vibration. The vibration phenomena are so complicated that the theoretical analysis has not carried out.In this paper, the vibrations of the sun gear shaft when the rotational speed increases with the relatively small load torque are investigated with experimental method Based on the results, mechanism of the vibration is examined and simulation programs for the vibration in the planetary gear trains are proposed and the calculated results are examined.As the conclusion ;(1) The movable area of the sun gear can be calculated with the magnitude of the backlash.(2) Self-centering process can be explained as the alternation of the meshing surface of the gears. The meshing surface can be known by the magnitude of the load torque and self-centering locus can be obtained from the calculation.(3) A simulation method for the vibration is proposed, and the calculated results are compared with the experimental results. Calculated results have a good accordance with the experimental ones.(4) The designer can simulate the vibration before the production to change the parameter of the vibration system in the proposed program.