Principal component analysis based three-dimensional operational modal analysis

Issue title: Proceedings from the 16th International Symposium on Applied Electromagnetics and Mechanics (ISEM 2013)

Guest editors: Xavier Maldague and Toshiyuki Takagi

Article type: Research Article

Authors: Wang, Cheng^{a; b; *} | Guan, Wei^a | Gou, Jin^a | Hou, Feng^a | Bai, Junqing^b | Yan, Guirong^b

Affiliations: [a] College of Computer Science and Technology, HuaQiao University, Xiamen, Fujian, China | [b] State Key Laboratory for Strength and Vibration, School of Aerospace, Xi'an Jiaotong University, Xi'an, Shaanxi, China | Université Laval, Canada | Tohoku University, Japan

Correspondence: [*] Corresponding author: Cheng Wang, College of Computer Science and Technology, HuaQiao University, No. 668, Jimei Road, Xiamen 361021, Fujian, China. Tel.: +86 0592 6162 460; E-mail: [email protected]

Abstract: For free and random vibrations of weakly damped systems, a one-to-one relationship between vibration modal shapes of dynamic mechanical systems and linear compound matrix, and a one-to-one relationship between modal responses and principal components are demonstrated using the concept of modal coordinates. Based on this theoretical link, a novel time-domain structural system three-dimensional statistical operational modal analysis technique is proposed then. Numerical simulation processing results show that, the new PCA based method is insensitive to Gauss measurement noise, and enables to identify main contribution modal shapes and eigenfrequencies from the displacement response-only in despite of system boundary, load type, and load position.

Keywords: Operational modal analysis, principal component analysis, physical interpretation, three-dimensional, time-domain statistical modal parameter identification

DOI: 10.3233/JAE-141823

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 45, no. 1-4, pp. 137-144, 2014