齒輪減速機常見的問題包含輪齒斷裂、磨損或腐蝕，其原因可能由於齒輪之齒廓外型或精度不佳或選用之齒輪材料不適當等，故需對其精確度、外型、壽命等進行分析並且改善設計，確保齒輪是符合工作條件設定。本文基於KISSsys建立甲公司提供的行星齒輪減速機(Planetary Gear Reducer)模型，對齒輪強度安全因子及接觸齒印進行初步分析後，發現原設計之行星輪齒根安全係數相較於其他齒輪的強度安全因子為最低，故本文結合KISSsys、SOLIDWORKS、ISIGHT、MATHEMATICA針對原設計之行星輪齒根安全係數進行優化，使行星輪齒根安全係數提升10%且降低50%傳動誤差。本文以均勻設計法(Uniform Design)和ISIGHT軟體建立減速機徑向基函數(Radial Basis Function, RBF)之近似模型，探討太陽輪及行星輪之轉位係數、行星輪之修形、行星輪之製造及組裝公差等控制因子對於行星輪的齒根安全係數影響。將近似模型計算出之行星輪齒根安全係數結果與KISSsys軟體計算之結果進行誤差分析，以確認近似模型之準確性。並進行各個控制因子對各齒輪安全因子以及傳動誤差的影響指數分析。最後，將近似模型計算出之優化設計參數代回KISSsys軟體進行模擬分析，確認優化達成目標需求。;The defective gear reducer usually results in the teeth fracture, wear and corrosion. The reason of these flaws includes the defective design of the gear tooth profile, poor accuracy, etc. This paper establishes a planetary gear reducer model system provided by the manufacturer based on the mechanical system design module KISSsys. After analyze the gear strength safety factor and contact tooth marks. Found that the safety factor of the tooth root of the original planetary gear is the lowest compared to the strength safety factor of other gears. Therefore, this article combines KISSsys, SOLIDWORKS, ISIGHT, and MATHEMATICA to optimize the safety factor of the planetary gear tooth root of the original design to increase the safety factor of the planetary gear tooth root by 10% and reduce the transmission error by 50%. This paper uses uniform design method and ISIGHT software to establish an approximate model of the Radial Basis Function (RBF) to discuss the influence of control factor on the safety factor of the tooth root. The influence of control factor including index of sun gear and planetary gear, shape and modification of planetary wheels, manufacturing and assembly tolerances of planetary gears, etc. Do the error analysis with the calculation results from using the approximate model and from KISSsys software to confirm the accuracy of the former. Then do the impact factor analysis of control factor on the safety factor of each gear and planetary gear transmission error. Finally, the designed parameters were returned to KISSsys for simulation analysis, and confirm that the optimization meets the target demand.
