基于多变量分析的环肋圆柱壳结构特性研究

Study on the Structural Characteristics of Ring-Stiffened Cylindrical Shell Using Multivariate Analysis

为了从整个可行解空间研究圆柱壳结构特性,采用全因子试验设计获得变量范围内的可行解空间,通过相关理论推导计算得到不同结构形式圆柱壳的强度、稳定性以及振动频率等指标。采用相关性分析、主成分分析以及变量聚类分析方法根据可行解空间的数据对环肋圆柱壳强度、稳定性、振动频率之间以及这些属性与设计变量之间的关系进行研究。采用相关系数矩阵图、主成分分布图以及谱系聚类图将多变量分析的结果可视化。对可视化结果进行分析发现了圆柱壳结构属性之间的矛盾性,变量、属性之间的相似性和关系的复杂性。通过多变量分析得到的相关结论能够作为实际工程设计的参考。

To analyze the structural characteristics of cylindrical shell in the feasible solution space, the full factorial experiment design method is applied to obtain the feasible solution space. Multivariate analysis approaches, such as correlation analysis, principal components analysis and cluster analysis, are used to study the structural characteristics of ring-stiffened cylindrical shell. The correlation coefficient matrix, principal component map and dendrogram of variable cluster are utilized to show the results of multivariate analysis. By analyzing the visual results, the incompatibility of attributes and the similarity and complicated relations among attributes and variables of cylindrical shell are found. The useful conclusions obtained from the multivariate analysis approaches can be used as reference in practical engineering design.