Dynamics and Fatigue Analysis of Planetary Gear Trains under Random Loading

行星齿轮系（PGT）广泛用于工业和许多其他应用中。在一些应用中，PGT所经受的载荷是随机的/随机的。PGT被用作传输单元并且经受随机载荷的两个代表性场景包括风能工业中的风力涡轮机和石油和天然气工业中的定向钻井。这些系统中由振动引起的疲劳问题是工业中的一个突出问题，并且具有巨大的经济后果。然而，振动应力的随机性在很大程度上阻碍了准确的疲劳预测和适当的疲劳管理。

Planetary Gear Trains (PGTs) are widely used in industry and many other applications. In some of the applications, the loads to which the PGTs are subjected are random/stochastic. Two representative scenarios where PGTs are used as a transmission unit, and subjected to random loads include wind turbines in wind energy industry and directional drilling in oil and gas industry. Fatigue caused by the vibration in these systems is a outstanding issue in the industries, and has huge economical consequence. However, the random nature of the vibration stresses largely hinders accurate fatigue prediction and proper fatigue management.