本研究以有限元素法來分析兩段式周轉輪系之動態響應，並以Runge-Kutta法求解出數值解。假設系統中之太陽齒輪、行星齒輪、行星架皆為剛體，轉軸為撓性的Timoshenko樑，而軸承以線性彈簧及阻尼器來模擬。本文探討行星軸受到軸承支撐或無支撐，對系統的動態響應影響，並求出輸入端與輸出端之軸承力大小，以及系統的自然頻率。數值結果顯示，行星軸在有軸承支撐之情況下，系統的位移響應較小，輸入端與輸出端之軸承力也減小，而系統的自然頻率會提高。

In this thesis, dynamic response of a two-stage epicyclic gear train is analyzed by using the finite element method, and numerical results are obtained by the Runge-Kutta method. Sun gear, planetary gear, and planet carrier of the system are considered to be rigid. Rotating shafts are modeled as Timoshenko beams. Bearings are considered to be linear and modeled as spring-damper sets. The effects of the planetary shaft with or without bearing support on the dynamic response of the system are investigated. The bearing forces and natural frequencies of the system are calculated. Numerical results of this research show that if the planetary shaft is supported by a bearing, the displacement response of the system and the bearing force are reduced, and the natural frequencies of the system increase.

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