本文利用有限元素軟體Deform-3D進行模擬分析,研究上模具以行星運動路徑之旋轉鍛造傘形齒輪,為了探討旋轉鍛造傘形齒輪的品質設計問題,以下模穴填充率與應變均勻度為品質特性,以胚料體積V、胚料上端面直徑d_1、胚料下端直徑d_2、胚料下方高度h_1、(下模)每轉進給率S、上模具傾斜角 為品質因子,採用Box-Behnken實驗設計[36]進行模擬實驗,以建立品質反應曲面的模型。每個品質因子的實驗設計皆採用三水準,再以其分析結果為樣本,透過迴歸分析建立二階多項式預測模型,求得齒輪在良好填充率下,應變均勻度最小之最佳化解。本文結果顯示品質特性之預測模型具有精確度。;In this paper, the FEM simulation model of cold rotary forging is established under Deform-3D software environment. the upper die motion path is a planetary on cold rotary forging of a spur bevel gear. To investigate the quality design of spur bevel gear, the filling rate of lower die cave and equivalent strain coefficient of variance are quality goals based on the following quality factors: blank volume(V), the diameter of upper blank(d_1), the diameter of lower blank(d_2), the height of lower blank(h_1), feeding rate(S) and the angle of upper die( ). Using the Box-Behnken design of experiment [36], through the regression analysis to build a prediction model of second-order polynomial function. Regression analysis simulation result to obtain gears at the optimization in minimum equivalent strain coefficient of variance and good filling rate. The paper shows the prediction model of quality characteristics is accurate.