针对柔轮工作性能的特殊要求，分析并优化了传统柔轮冷滚压工艺模型，柔轮采用双圆弧齿廓曲线模型; 依据修正的Johnson-Cook 本构模型建立柔轮冷滚压成形有限元
模型并加以验证。仿真结果表明，采用该模型能得到清晰的双圆弧齿形和较均匀的等效应变分布。文中还分析了不同工艺参数( 进给速度、滚轮转速及摩擦系数) 对柔轮轮齿表面残余应力的影响，结果表明: 增大进给速度会降低轮齿表面的残余应力最大值，过大的进给速度会造成“凸起”; 适当降低滚轮转速和进给速度，可提高残余应力分布的均匀性;摩擦系数与残余压应力分布深度正相关．

By taking into consideration the special requirements for function and property of flexspline,the traditional cold rolling process model is analyzed and optimized based on the double-circle-arc model for flexspline.Then,a finite element model describing the cold rolling process is established according to the modified Johnson- Cook constitutive model and is finally verified.Simulated results show that,with the help of the established model,clear double-circle-arc tooth profile and uniform equivalent strain distribution can both be obtained.Moreover,by analyzing the influences of such parameters as feed rate,roller's rotation rate and friction coefficient on the residual stress distribution on gear tooth surface,it is found that ( 1) increasing the feed rate may reduce the maximum residual stress on tooth surface,but excessive feed rate may result in“bulge”on the surface; ( 2) properly reducing the rotation speed and feed rate of the roller may improve the uniformity of residual stress distribution; and ( 3) the friction coefficient positively correlates with the distribution depth of residual compressive stress.