利用数学规划、有限元分析对3200/4000硫化罐上活动环齿根过渡部分进行了计算机辅助形状优化设计。优化方法为惩罚函数法,齿根过渡曲线的描述采用三次样条法,三维有限元网格由计算机自动生成。计算结果表明,对活动环齿根过渡部分的形状优化设计是成功的。本文提出的形状优化设计方法可以用来解决各种大型空心轴对称零件内壁的形状优化设计问题。 Using mathematical programming and finite element analysis, the computer-aided shape optimization design was performed on the transitional root of the active ring on 3200/4000 vulcanization can. The optimization method is the penalty function method, the description of the root transition curve is cubic spline method, and the three-dimensional finite element mesh is automatically generated by the computer. The calculation results show that the shape optimization design of the transitional tooth root is successful. The shape optimization design method proposed in this paper can be used to solve the shape optimization design problem of the inner wall of all kinds of large hollow shaft symmetrical parts.