线性无量纲化方法的性质分析

内容提要：在对多种线性无量纲化方法特点分析的基础上，给出了“理想无量纲化方法”应该满足的一些性质，并证明了“理想无量纲化方法不存在”的结论。提出了“构建逼近理想性质的复合无量纲化方法”的思路，并构造了一种优良的复合无量纲化方法——“极标复合法”。提出了指标无量纲化过程的稳定性问题，着重分析造成结果不稳定的“指标数据分布”方面的原因，并给出了一种针对线性无量纲化方法的改进型。

Character Analysis of Linear DimensionleSS Methods

On the basis of the character analysis of a few linear dimensionless methods,this paper proves that ideal dimensionless methods don't exist.And more,this paper talks about compound dimensionless method being close to ideal characters,which is a better compound dimensionless method than other methods.Robustness of index dimensionless process is also investigated in this paper,especially the causes inducing to the unstable results are analyzed,and finally an improved method of linear dimensionless methods is put forward.