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

Abstract:

According to the numerical calculation of the meshing angle the derivation of the meshing 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 angle,then more accurate meshing angle values were obtained，the elimination of shaving  “the flank concave” 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 differentiable numerical calculation inadequacy,with the advantages such as fast convergence,fewer iteration times,solving stability,optimal numerical solution etc..

Key words: shaving modification, meshing angle, numerical calculation, Stephenson-Newton iterative method, iteration times