2K-H行星减速器的动态特性

本文用Fourier级数方法求解2K-H行星减速系统的运动微分方程,获得了系统的频域解和时城解,分析了减速器在工作中的自激振动特性,并计算了载荷在各行星轮上分配的动态均匀性,及齿轮偏心误差对齿轮载荷均匀性的影响,得出了减速器运动中有意义的规律性,以指导减速器的设计。

Analysis of Dynamic Behaviour of 2K-H Planetary Gearing

The dynamic behaviour of gear system in aeroengine has an importantinfluence on the reliability of aircraft. Hidaka 3] and Boyd4] have solved theequations of motion of planetary gearing by numerical method, but it involvestedious and complicated computation. The load equalization on each branch isanother important problem of planetary gearing which has been calculated andexperimentaly measured by Hayashi 1] and Yanaba 2], but only for staticconditions. Up to now, the two problems just mentioned require separate solu-tions and separate computer programs. It is believed that this paper succeeds inits attempt to overcome the various shortcomings just mentioned. In this paper, the Fourier method presented by Kubo 5] for a simple gearsystem has been considerably improved, and used to deal with planetary gearsystem. The authors have found that proceeding as Kubo did would lead to a crit-erion for planetary gearing that is too difficult to use to judge a system as complexas planetary gearing. A new method of derivation has been developed to avoidgetting something like Kubo's criterion. Then the analytical solution can be ob-tained conveniently with new derivation, and calculation can be considerablysimplified. By using this approach, the vibration and dynamic load distribution on eachbranch, the floating locus of sun gears, the influences of various kinds of run-out errors, and exciting function of tooth errors require just one solution andone computer program.