二次因子分析的柔顺定位平台参数优化设计方法

Optimum design method of compliant positioning platform parameters based on secondary factor analysis

  • 摘要: 针对3-RRR柔顺并联微动平台多响应优化设计中存在各种因子影响和交互影响导致各变量组合对目标函数的影响程度不易掌控, 从统计学的角度引入一种提高该机构稳健性变量优化设计方法。首先建立微型定位平台运动模型, 在该模型的基础上进行试验设计并且将数据进行KMO检验和Bartlett球形检验; 分析后的结果处理掉一些权重不大的变量, 得到的结果是可以进行因子分析, 对所有组合进行打分, 从而找出可行的变量优化设计方案。实例结果表明从统计学角度引入的因子分析法可以为微型机构多目标稳健参数优化设计提供一种新的解决方法。

     

    Abstract: In the multi response optimization design of 3-RRR compliant parallel micromanipulation platform, there are various factors and interaction effects, which make the influence degree of each variable combination on the objective function difficult to control. From the statistical point of view, a variable optimization design method is introduced to improve the robustness of the mechanism. Firstly, the motion model of micro positioning platform is established, and the experimental design is carried out on the basis of the model, and the data are tested by KMO and Bartlett spherical tests. After the analysis, some variables with small weight are disposed of, and the result is that factor analysis can be carried out to score all combinations, so as to find out a feasible variable optimization design scheme. The example conclusion shows that the factor analysis method introduced from the statistical point of view can provide a new solution for the multi-objective robust parameter optimization design of micro mechanism.

     

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