双主轴卧式加工中心横梁结构综合优化设计

为了在降低横梁总质量的同时保证其低阶固有频率和刚度，提出一种结合拓扑结构和尺寸优化的设计方法。使用拓扑优化方法确定横梁内部结构，并对它进行修复；根据修复后横梁的有限元分析结果，以横梁内部的厚度、孔尺寸等多个参数为设计变量，整体最大变形和1阶固有频率为约束条件，采用总质量最小为目标函数建立数学模型。利用多目标遗传算法（MOGA）进行求解，通过CCD试验设计获得初始样本点，并使用Kriging模型建立响应面。经过多次试验发现，横梁的总质量相比于优化前减少了20.3%。

Comprehensive Optimization Design of Beam Structure for Double-Spindle Horizontal Machining Center

In order to reduce the total mass of the beam while ensuring its low-order natural frequency and stiffness,a design method combining topology optimization and size optimization was proposed.The topology optimization method was used to determine the internal structure of the beam and then it was repaired.Based on the finite element analysis results of the repaired beam,taking the thickness and holes size inside the beam as design variables,the overall maximum deformation and the first-order natural frequency were taken as constraints,and the total mass was minimized as the objective function to establish a mathematical model.The multi-objective genetic algorithm (MOGA) was used for solving.The initial sample points were obtained through CCD experiment design and a response surface was established using the Kriging model.After multiple tests,the total mass of the beam is successfully reduced by 20.3% compared with before optimization.