基于动态灵敏度的数控机床立柱优化设计

以结构动力学理论为基础，对数控机床立柱结构动态性能进行分析。首先建立立柱三维模型，使用ANSYS Workbench软件对立柱进行模态分析，得到立柱一阶模态频率。通过计算得到各设计参数对立柱动态性能的灵敏度值，选择其中灵敏度值大的设计参数为设计变量。以一阶模态频率为目标，使用响应面法进行优化设计。优化后数控机床立柱一阶频率提高1.657 Hz，最大位移与最大应力均满足设计要求，动态性能得到加强。

Optimization Design of Machining Center Column Based on Dynamic Sensitivity

The dynamic performance of a numerical control （NC） machine tool was analyzed based on structural dynamics theory. First, the three dimensional model of column was constructed, where the modal of the column was analyzed using ANSYS Workbench software, and the first-order modal frequency was obtained. The sensitivities to design parameter variations affecting this dynamic performance were explored and those parameters with high sensitivities were selected as the design variables. The design process was optimized using the response surface method by selecting the first-order frequency as target. The first-order modal frequency of the NC machine column increased by 1.657 Hz， satisfying the maximum displacement and stress constraints，and the dynamic performance of the column improved correspondingly.