中文摘要：

为消除圆柱滚子端部的应力集中现象,提高滚动轴承的疲劳寿命,对圆柱滚子内修形-深穴结构的形状控制参数（深穴开口度k、深穴长度l、深穴锥角α）进行了分析,建立了滚子接触有限元（FEM）模型。基于响应曲面法（RSM）,建立了以滚子端部与中间接触应力差最小为优化目标,以k,l和α为设计变量的优化数学模型,并对响应面模型进行了求解,得到一组最优解,通过对比分析表明深穴滚子可以有效地降低滚子端部的应力集中现象,优化后深穴滚子应力分布更为均匀,避免了因局部应力过大而过早发生疲劳失效;采用FEM与RSM相结合的优化方法操作简单、效率高,可将其应用于其他机械零部件的优化设计。

英文摘要：

In order to eliminate the stress concentration phenomenon of cylindrical roller ends for improving the fatigue life of roller bearing,the shape control parameters of deep cavity were analyzed,such as opening degree k,cavity length l and cavity cone angleα.The finite element contact model of roller was established.Based on response surface method（RSM）,the optimization model of deep cavity was established,the minimum of stress difference between roller ends and middle part was chosen as optimal objective,k,l andαas design variables.The response surface model was solved,and a set of optimal solutions were obtained.Compared with other rollers,deep cavity roller can improve the stress concentration effectively.The contact stress distribution of cylindrical roller with optimized deep cavity is more homogenous,which could avoid the premature fatigue failure of roller bearing for local stress is too large.The combination method of FEM and RSM is simple and efficient,which can be used for other mechanical parts.