基于多目标优化的砂轮杆结构轻量化设计研究

Research on lightweight design of grinding wheel rod structure based on multi-objective optimization

为了得到大长径比砂轮杆合理的结构及支撑方式,保证砂轮杆满足刚度要求,通过建立大深径比孔磨削用砂轮杆的三维参数化模型,用有限元方法分析了砂轮杆的静力变形和约束模态,采用最佳空间填充试验设计(optimal space-filling design)方法构建了砂轮杆各设计变量与优化目标的二阶响应面模型,采用NSGA-Ⅱ算法对砂轮杆进行了多目标优化。经过轻量化优化设计及仿真比较,得到一种大长径比砂轮杆及支撑的合理化结构,轻量化率达到10.3%。分析结果表明:砂轮杆质量、刚度及模态均满足工程要求。

In order to obtain the reasonable structure and support mode of the grinding wheel rod with a large length-diameter ratio and ensure that the grinding wheel rod meets the stiffness requirements,the static deformation and constraint mode of the grinding wheel rod were analyzed via Finite element method by establishing a three-dimensional parametric model of the grinding wheel rod for large depth-diameter ratio hole,and the second-order response surface model of each design variable and optimization goal of the grinding wheel rod were constructed via optimal space-filling design method.The NSGA-II algorithm was used to optimize the grinding wheel rod with multiple objectives.After lightweight optimization design and simulation comparison,a rationalized structure of grinding wheel rod and support with large length-diameter ratio was obtained,and the lightweight rate reaches to 10.3%.The analysis results show that the quality,stiffness and mode of the grinding wheel rod all meet the engineering requirements.