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本文以加工中心立柱为研究对象,建立有限元模型、进行了静力学和模态分析,并通过模态实验验证了有限元模型的正确性。在此基础上,得到优化设计需满足的动静态性能指标。在前四阶固有频率和安装尺寸的约束下,建立了立柱拓扑优化数学模型,通过迭代计算得到用于指导结构优化的密度云图,并对优化结果进行了可制造化处理和动静态仿真分析。结果表明,立柱的质量较原设计减轻,实现了结构的轻量化设计。
In this paper, the machining center column as the research object, the establishment of the finite element model, the static analysis and modal analysis, and the modal experiments verify the validity of the finite element model. On this basis, get the dynamic and static performance index that the optimal design needs to meet. Under the constraint of the first four natural frequencies and the installation dimensions, a mathematical model of column topological optimization was established. The density cloud used to guide the structural optimization was obtained through iterative calculation. The optimization results were made and processed and the static and dynamic simulation analysis was carried out. The results show that the quality of the column is lighter than the original design, which realizes the lightweight design of the structure.