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中文摘要：
为了实现深孔机床的轻量化设计，运用有限元分析和拓扑优化相结合的方法，对Z8016深孔钻床床身进行了结构优化设计。首先，利用UG对Z8016的床身初始结构进行了三维建模并导入HyperWorks进行模态分析，然后，根据变密度法的基本思想，建立以床身结构的相对密度为设计变量，以体积分数（质量）最小化为目标函数，一阶固有频率为约束条件的拓扑优化模型，并以HyperWorks／OptiStruct软件为工具，对其进行拓扑优化，得到了床身材料的最优分布图，最后根据优化方案对初始结构进行了重构设计。研究结果表明，改进后的床身结构，一阶固有频率基本保持不变，质量减少11．2％，满足设计要求。
英文摘要：
In order to achieve the lightweight design of the deep hole machine, structural optimization design of machine bed of Z8016 is performed based on FEA and topology optimization. Firstly, the original 3D solid model of machine bed is made by using UG and modal analysis is carried by the platform of HyperWorks. According to the theory of variable density, the topology optimization model is established by making the relative density of the structure as design variables and minimizing the volume fraction of the machine bed as objectives and the tint-order natural frequency as constraint conditions. A n optimal distribution of structural material of machine bed is obtained. Depending on the optimization results, the model of machine bed is redesigned. From the optimization results, the first-order natural frequency has almost no change, the mass is reduced by 11.2%, the results met the requirements of design.
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