基于关联度分析的静态和动态稳健性设计

Static and Dynamic Robust Design Based on Grey Relational Analysis

运用关联度分析建立静态特性和动态特性稳健性设计方法。该方法的核心在于由正交试验数据的规范化和关联度的计算得到一个反映产品质量或系统性能的具有望大特性的关联度序列。通过对分辨系数的研究表明,与田口方法相比,该方法具有更高的区分度和适应性,而且对于田口方法中很难处理的具有复杂函数关系的动态稳健性设计问题也能得到很好的解决。此外,该方法简洁明了,避免了复杂的参数估计、假设检验等数理统计过程,实用性更强,结合工程实例进行设计分析验证了方法的有效性。

A method is established to solve robust design problems for static and dynamic characteristics by grey relational analysis （GRA）. The core of the method is to obtain a relational grade ranking with a larger-the-better characteristic, which can reflect product quality or system performance, through standardization of orthogonal experiment data and computation of relational grade. Compared with Taguchi method, it shows that this method not only attains higher discrimination and adaptability, but also can easily solve dynamic robust design problems with complex functional relationship, which Taguchi method is very hard to solve. Furthermore, this method doesn＇t involve complicated process of mathematical statistics, such as parameter estimation, hypothesis testing, et al, which is undoubtedly more practical and easier to understand and apply. To verify this method, two practical examples are considered.