基于剃齿修形的啮合角数值计算  

Pressure Angle Values Based on Shaving Modification Terms

作　　者：蔡安江[1] 张振军[1] 阮晓光[1] 

机构地区：[1]西安建筑科技大学,西安710055

出　　处：《中国机械工程》2013年第10期1327-1330,共4页China Mechanical Engineering

基　　金：陕西省自然科学基金资助项目(2007E215)

摘　　要：对啮合角的数值计算进行了深入研究,推导了啮合角超越方程,应用史蒂芬森-牛顿类迭代法和牛顿迭代法进行了啮合角的数值计算,得到了啮合角的最优解,有效保证了消除剃齿"齿形中凹"的工艺效果。通过误差容限、迭代次数和最优解对啮合角数值计算的两种方法进行了分析,可知史蒂芬森-牛顿类迭代法能够避免牛顿迭代法中可微等数值计算的不足,具有收敛快速、迭代次数小、求解稳定、数值解最优等优点。According to the numerical calculation of the meshing angle the derivation of the mes- hing angle of transcendental equation was studied and the application of Stephenson-Newton iterative method and Newton iterative method was put forward for the numerical calculation of the meshing an- gle, then more accurate meshing angle values were obtained, the elimination of shaving ＂the flank con- cave＂ effect of the process was carried out. Two methods of numerical calculation of meshing angle were analyzed through the error tolerance,iteration times and the optimal solution value,Stephenson -Newtonian iterative method was compared with Newton iterative method,and can avoid differentia- ble numerical calculation inadequacy, with the advantages such as fast convergence, fewer iteration times, solving stability, optimal numerical solution etc..

关 键 词：剃齿修形 啮合角 数值计算 史蒂芬森-牛顿类迭代法 迭代次数 

分 类 号：TH161[机械工程—机械制造及自动化]