基于满意度理论的卧式加工中心立柱性能优化

Performance Optimization of Horizontal Machining Center Column Based on Satisfactory Degree Theory

为了提高卧式加工中心的动态性能,针对关键结构件立柱,运用折衷规划法建立了以多工况柔度和1阶固有频率为目标函数的多目标优化数学模型,并引入满意度权重因子控制多工况权重比,进行拓扑优化后设计出新的立柱模型。对优化后的立柱进行验证,结果表明立柱的前4阶固有频率均有不同程度的提高,且通过优化有效地改善了卧式加工中心的动态性能,提高了自身的低阶固有频率,在三个坐标方向上的最大振幅比原模型分别下降了17%、77%和79%。

In order to improve the dynamic performance of the horizontal machining center,for the key structural member column,a multi-objective optimization mathematical model with multiple working condition flexibility and first-order natural frequency as the objective function is established by using the compromise programming method,and the satisfaction weighting factor is introduced to control the weight ratio of multiple working conditions,and a new column model is designed after topology optimization.The optimized column is verified,and the results show that the first four natural frequencies of the column are improved to different extents.And through optimization,the dynamic performance of the horizontal machining center is effectively improved,and the low-order natural frequency of itself is improved,the maximum amplitude in the three coordinate directions is 17%,77%,79%lower than the original model.