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

在行星齿轮系尺寸较小的情况下，太阳齿轮轴被设计为浮动太阳齿轮，没有轴承。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种力的平衡，这种机构称为自定心过程，是众所周知的，但该机构没有详细研究过。由于行星齿轮系在齿轮之间有一些背隙，太阳齿轮引起各种振动。振动现象十分复杂，尚未进行理论分析。本文采用实验方法研究了太阳轮轴在转速增大而载荷转矩较小时的振动，在此基础上，分析了振动的机理，提出了行星轮系振动的仿真程序，并对计算结果进行了验证。作为结论；(1)太阳齿轮的可动面积可以用齿隙大小来计算。(2)自定心过程可以解释为齿轮啮合面的变化。通过计算得到负载转矩的大小和自定心轨迹，从而确定啮合面。(3)提出了一种振动仿真方法，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)设计人员可以对生产前的振动进行模拟，以改变所提出方案中振动系统的参数。

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.