Accurate modeling of spiral bevel and hypoid gear is the foundation of the tooth contact analysis(TCA) technology and error correction technology of the tooth surface,which is the key technology in digitized manufactu...Accurate modeling of spiral bevel and hypoid gear is the foundation of the tooth contact analysis(TCA) technology and error correction technology of the tooth surface,which is the key technology in digitized manufacturing. This paper summarized the related achievements and divided the methods of modeling spiral bevel and hypoid gear into three categories,including modeling by discrete points on the tooth surface,curve fitting,and simulation machining,and generalized the main steps and the key ideas of each method. At the same time,this paper analyzed the problems and inadequacies existing in the process of model design. Three directions were proposed for modeling of spiral bevel and hypoid gear in the future,that are more accuracy,more efficiency and more flexibility. The paper provides some methods that make the design and machining of spiral bevel and hypoid gear faster and more accurately.在弧齿锥齿轮和准双曲面齿轮的数字化制造中,精确模型是其关键技术—齿面接触分析技术(TCA)和齿面误差修正技术的基础。总结和归纳了近些年来国内外相关研究成果,将弧齿锥齿轮和准双曲面齿轮的模型设计方法分成离散点、曲线拟合、仿真加工模型设计3种类型,并概括了其关键思想与步骤。同时,分析了模型设计过程中存在的一些问题与不足,整合先进方法和思想,对未来弧齿锥齿轮和准双曲面齿轮模型设计研究提出了高精度、高效率、高柔性3个发展方向,为弧齿锥齿轮和准双曲面齿轮更加快捷精确地设计和加工提供了参考。展开更多
In order to effectively improve meshing performance of spiral bevel and hypoid gears generated by the duplex helical method, the effects of straight lined and circular cutting edges profile on meshing and contact of s...In order to effectively improve meshing performance of spiral bevel and hypoid gears generated by the duplex helical method, the effects of straight lined and circular cutting edges profile on meshing and contact of spiral bevel and hypoid gears were investigated analytically. Firstly, a mathematical model of spiral bevel and hypoid gears with circular blade profile was established according to the cutting characteristics of the duplex helical method. Based on a hypoid gear drive, the tooth bearings and the functions of transmission errors of four design cases were analyzed respectively by the use of the tooth contact analysis(TCA), and the contact stresses of the four design cases were analyzed and compared using simulation software. Finally, the curvature radius of the circular profile blade was optimized. The results show that the contact stresses are availably reduced, and the areas of edge contact and severe contact stresses can be avoided by selecting appropriate circular blade profile. In addition, the convex and concave sides are separately modified by the use of different curvature radii of inside and outside blades, which can increase the flexibility of the duplex helical method.展开更多
A unity transformation model (UTM) was presented for flexible NC machining of spiral bevel gears and hypoid gears. The model can support various machining methods for Gleason spiral bevel gears and hypoid gears, inclu...A unity transformation model (UTM) was presented for flexible NC machining of spiral bevel gears and hypoid gears. The model can support various machining methods for Gleason spiral bevel gears and hypoid gears, including generation machining and formation machining for wheel or pinion on a universal five-axis machining center, and then directly produce NC codes for the selected machining method. Wheel machining and pinion machining under UTM were simulated in Vericut 6.0 and tested on a five-axis machining center TDNC-W2000 with NC unit TDNC-H8. The results from simulation and real-cut verify the feasibility of gear machining under UTM as well as the correctness of NC codes.展开更多
基金Project supported of National Natural Science Foundation of China(No.50965017)
文摘Accurate modeling of spiral bevel and hypoid gear is the foundation of the tooth contact analysis(TCA) technology and error correction technology of the tooth surface,which is the key technology in digitized manufacturing. This paper summarized the related achievements and divided the methods of modeling spiral bevel and hypoid gear into three categories,including modeling by discrete points on the tooth surface,curve fitting,and simulation machining,and generalized the main steps and the key ideas of each method. At the same time,this paper analyzed the problems and inadequacies existing in the process of model design. Three directions were proposed for modeling of spiral bevel and hypoid gear in the future,that are more accuracy,more efficiency and more flexibility. The paper provides some methods that make the design and machining of spiral bevel and hypoid gear faster and more accurately.在弧齿锥齿轮和准双曲面齿轮的数字化制造中,精确模型是其关键技术—齿面接触分析技术(TCA)和齿面误差修正技术的基础。总结和归纳了近些年来国内外相关研究成果,将弧齿锥齿轮和准双曲面齿轮的模型设计方法分成离散点、曲线拟合、仿真加工模型设计3种类型,并概括了其关键思想与步骤。同时,分析了模型设计过程中存在的一些问题与不足,整合先进方法和思想,对未来弧齿锥齿轮和准双曲面齿轮模型设计研究提出了高精度、高效率、高柔性3个发展方向,为弧齿锥齿轮和准双曲面齿轮更加快捷精确地设计和加工提供了参考。
基金Project(2011CB706800-G)supported by the National Basic Research Program of ChinaProject(51375159)supported by the National Natural Science Foundation of China+1 种基金Project(20120162110004)supported by the Postdoctoral Science Foundation of ChinaProject(2015JJ5020)supported by the Science Foundation of Hunan Province,China
文摘In order to effectively improve meshing performance of spiral bevel and hypoid gears generated by the duplex helical method, the effects of straight lined and circular cutting edges profile on meshing and contact of spiral bevel and hypoid gears were investigated analytically. Firstly, a mathematical model of spiral bevel and hypoid gears with circular blade profile was established according to the cutting characteristics of the duplex helical method. Based on a hypoid gear drive, the tooth bearings and the functions of transmission errors of four design cases were analyzed respectively by the use of the tooth contact analysis(TCA), and the contact stresses of the four design cases were analyzed and compared using simulation software. Finally, the curvature radius of the circular profile blade was optimized. The results show that the contact stresses are availably reduced, and the areas of edge contact and severe contact stresses can be avoided by selecting appropriate circular blade profile. In addition, the convex and concave sides are separately modified by the use of different curvature radii of inside and outside blades, which can increase the flexibility of the duplex helical method.
基金Supported by National High Technology Research and Development Program ("863" Program, No. 2007AA042005)
文摘A unity transformation model (UTM) was presented for flexible NC machining of spiral bevel gears and hypoid gears. The model can support various machining methods for Gleason spiral bevel gears and hypoid gears, including generation machining and formation machining for wheel or pinion on a universal five-axis machining center, and then directly produce NC codes for the selected machining method. Wheel machining and pinion machining under UTM were simulated in Vericut 6.0 and tested on a five-axis machining center TDNC-W2000 with NC unit TDNC-H8. The results from simulation and real-cut verify the feasibility of gear machining under UTM as well as the correctness of NC codes.
