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本文为研究其自由振动特性而推荐了一个复式行星齿轮传动(CPGT)的平面模型。该CPGT的各个元件(太阳轮、行星架、齿圈1、齿圈2和一些行星齿轮)有二个移动和一个转动。啮合中轮齿间接触所谓齿轮啮合刚度模拟为线性弹性,考虑这些刚度之间的相位,采用Lagrarge公式,导出运动方程式。从系统的固有值问题起步,研究行星齿轮的数目和位置的影响,以及陀螺现象对CPGT自由振动的影响。典型的固有模式有三:其一为移动(行星架,齿圈1和太阳轮具有无转动的纯典型的移动偏移),其二为转动(行星架、齿圈1和太阳轮具有无移动的典型的纯偏转),其三为行星齿轮模式(仅行星齿轮具有的一个典型的变形)。可以发现行星齿轮角度位置的改变不影响这种分类。另一方面,行星架转动速度的影响的研究表示陀螺影响区别于反复移动为一个不同点。获得了许多重要的结果,以便在设计过程避免导致不希望的振动危险工作状况。
In this paper, a planar model of compound planetary gear drive (CPGT) is proposed to study its free vibration characteristics. The CPGT’s individual components (sun gear, planet carrier, ring gear 1, ring gear 2 and some planetary gears) have two movements and one rotation. Intermeshing tooth meshing The so-called gear meshing stiffness is modeled as linear elasticity, taking into account the phase between these stiffness, the Lagrarge formula is used to derive the equation of motion. Starting from the problem of the intrinsic value of the system, the influence of the number and position of the planetary gears and the influence of the gyro on the free vibration of the CPGT are studied. There are three typical eigenmodes: one for movement (planet carrier, ring gear 1 and sun gear with pure, typical rotational offset without rotation) and the other for rotation (planet carrier, ring gear 1 and sun gear with no movement Typical pure deflection), the third is the planetary gear mode (planetary gear only has a typical deformation). It can be found that the change in the angular position of the planet gears does not affect this classification. On the other hand, the study of the effect of the rotational speed of the planet carrier shows that the gyroscopic effect is distinguished from the repeated movement by a different point. A number of important results have been obtained in order to avoid working conditions that lead to unwanted vibrations during the design process.