数控插齿机床身的静动多目标拓扑优化设计

Static and dynamic multi-objective topology optimization design on bed of CNC gear shaper

为了提高数控插齿机床身结构静刚度和动态性能,基于SIMP材料插值方法,采用折衷规划法,建立以刚度最大化和低阶模态频率最大化的多目标拓扑优化模型,对数控插齿机床身进行拓扑优化,得到最佳拓扑形式。根据拓扑形式重构床身模型,并对原结构模型和重构模型进行分析,结果表明,经过拓扑的结构能同时满足数控插齿机床身静刚度和振动低阶频率的要求,为数控插齿机床身结构拓扑优化设计提供一种方案。

In order to improve the stiffness and dynamic char- acteristics of the bed for CNC gear shaper, based on the SIMP ma- terial interpolation method,the compromise programming method was used to built the multi-objective topology optimization mode] whose target functions were the maximization of stiffness and natu- ral frequency of low-order. Then got the best optimal topology form of the bed through the topology optimization, new geometric model was reconstructed according to the topology form. By the analysis of primary and reconstruction models of the bed,it is found that the optimized structure not only satisfied static stiffness requirement but also satisfied dynamic requirement,which provided a scheme for the bed of CNC gear shaper topology optimization design.