中文摘要：

立柱作为XH786A高速加工中心的主要零件，其结构设计影响着机床的动态特性。依据连续体拓扑优化理论，提出了以体积为约束条件，机床的前三阶固有频率为目标函数，考虑非设计区域的拓扑优化方法。运用该方法对立柱结构进行优化，比较结果其动、静态特性有较大提高。表明拓扑优化结果具有理论指导意义，为后续详细的设计提供理论依据。

英文摘要：

The structural design of pillar as the main component of high-speed machining center impacts the dynamic properties.A ccording to continuum topology optimization theory,a method considering non-design region was proposed.The constrain function is the volume of structure,and the objective function is the nature frequency of machine tool,Using the method to optimize the pillar,the dynamic property of machine tool was improved from the simulation results.The result of the comparison shows that Topological optimization is instructive and will supply theoretical evidenee for subsequent.