利用直邊飛刀與刀盤創成的曲線齒輪具有高強度、低噪音、潤滑良好且無軸向推力等優點。但有軸向組裝誤差情況時，將會產生不連續的傳動誤差。為避免不連續的傳動誤差，因此本論文所研究之曲線齒輪，將直邊刀具換成圓弧狀刀具再配合刀盤創成曲線齒輪，故稱為修整型曲線齒輪。修整型曲線齒輪嚙合時為點接觸型式，其接觸應力較高可能會影響齒輪的壽命。而傳動誤差的存在已普遍被認為和齒輪嚙合時產生的振動與噪音有密切的關連性。因此如何避免過高的齒面接觸應力與研究嚙合齒輪對所產生負載下傳動誤差為本論文研究之重點。本論文依據所推導修整型曲線齒輪齒面數學模式，完成齒面接觸分析與曲率分析，並且建立有限元素齒面網格分割電腦程式，透過赫茲應力公式與有限元素分析，探討齒輪刀具參數對齒面接觸應力之影響。除了以齒面接觸分析探討齒輪未負載之傳動誤差外，本論文整合齒面接觸分析與有限元素分析結果，並且也整合赫茲應力公式所計算彈性變形量與齒面接觸分析整合，依兩者結果研究負載下傳動誤差之情形。With several advantages of the classical curvilinear gear generated by straight line fly cutter and cutter disk, it possesses higher bearing and contacting strength、lower noise、better lubrication condition and no axial trust forces characterizations. However, the curvilinear gear set causes discontinuous transmission error in the axial misalignment condition. In this thesis, to prevent discontinuous transmission error, we displaced the he straight line cutter into circular-arc cutter and combined with cutter disk. Thus, it was termed modified curvilinear gear. Under the ideal meshing condition, the contact point of modified curvilinear gear set localized in the middle of the tooth. With the characteristic of parabolic transmission errors, this gear set can also significantly prevent the edge contact and jump transmission errors produced by the horizontal axial-misalignment and vertical axial-misalignment. Therefore, the modified curvilinear gear set indeed processes superiority of transmission.The mesh of the modified curvilinear gear is bearing contact, so the higher contact stress can affect the life-span of tooth. In addition, the existence of transmission errors has been demonstrated that are closely related to the vibration and noise of gear meshing. Thus, this thesis focuses on how to prevent the overhigh of contact stress and research the mesh gear set that produce loaded transmission errors.Here, according to the mathematical model of modified curvilinear gear, we analyzed the tooth contact and curvature and developed finite element mesh-generation computer program. Based on the Hertz theory and finite element method, we investigated the effect of tooth contact stress form parameter design of gear cutter.In addition to investigate the unload transmission errors through tooth contact analysis, and we examined loaded transmission errors which combined with tooth contact analysis and finite element method. Moreover, we also explored the results of elastic deformation calculated from Hertz theory and tooth contact analysis.
