本論文主要以有限元素法分析風力發電機中重負載之行星齒輪增速機的動態特性。假設各齒輪、行星架皆為剛體，轉軸為撓性的Timoshenko樑。以Lagrangian法求得行星齒輪系統的運動方程式，再以Runge-Kutta法求解系統動態響應。本文探討行星齒輪系統在不同行星齒輪個數下，各齒輪之側向位移、太陽與行星齒輪間之壓力角及接觸比及支座軸承反力的變化。數值結果顯示，隨著行星齒輪數目增加，各齒輪與輸出端軸承之側向位移因而減小，壓力角及接觸比的變化幅度也減小，但輸入端軸承之側向位移卻依行星齒輪個數增加而增大。

Dynamic characteristics of a heavily-loaded planetary gear speed increaser of a wind turbine is analyzed by using the finite element method in this thesis. All gears and carrier are considered to be rigid and rotating shafts are modeled as Timoshenko beams. The Lagrangian approach is used to derive the equations of motion of planetary gear system, and dynamic response is obtained by using the Runge-Kutta method. The effects of number of planetary gears on the lateral displacement of gears, pressure angle and contact ratio between the sun gear and the planetary, reaction force of bearings of the system are investigated. Numerical results of this research show that when the number of planetary gears increases, lateral displacements of gears and of the bearing at the output terminal decrease, and so do the amplitude of pressure angle and contact ratio. However, lateral displacements of the bearing at the input terminal increase as the number of planetary gears increases.

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