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中文摘要：
为了提高深孔钻床床身的抗振性并减轻重量,将多频拓扑优化技术引入床身的结构设计,对其进行了动态特性研究。首先利用ANSYS有限元分析软件对原床身结构进行了模态分析,识别出床身结构的薄弱设计;其次,以床身的前三阶固有频率最大化为目标函数,以床身质量为约束条件,对床身进行多频拓扑优化;在此基础上,根据密度云图所示材料分布,对床身筋板进行重构设计;最后,对优化前后的床身进行谐响应分析,对其动态性能进行了验证。结果表明：优化后床身的前三阶固有频率显著提高,同时质量也下降了4.08%,从而达到了提高其动态性能和减重的优化目标。
英文摘要：
In order to improve the vibration resistance of deep hole drilling machine lathe bed and reduce its weight, the multiple frequencies topology optimization was introduced to the structural design of lathe bed and the dynamic characteristics of lathe bed were researched. Firstly, the modal analysis of lathe bed structure was studied by ANSYS software and the structure weak design of the lathe bed was identified. Secondly, The original structure of lathe bed, by taking the maximized first three natural frequencies as the objective function and mass of lathe bed as the constraint condition, was analyzed by the multiple frequencies topology optimization. And then, according to the density contours used to show the materials division, rib plates of lathe bed were redesigned. Finally, the original structure of lathe bed and optimal one were analyzed by harmonic response, which can be used to verify its dynamic performance. From the optimization results, the first three natural frequencies of the optimal lathe bed have been significantly improved, meanwhile its overall weight is decreased by 4.08%. That is to say, the optimization goal of improving the dynamic performance and reducing weight is realized.
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