Extraction of Normal Modes from Contaminated Measurement With Noise for Highly Coupled Structures

[+] Author and Article Information
S. Y. Chen, M. S. Ju, Y. G. Tsuei

Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, Taiwan, R. O. C.

J. Vib. Acoust 118(3), 430-435 (Jul 01, 1996) (6 pages) doi:10.1115/1.2888202 History: Received May 01, 1994; Revised November 01, 1994; Online February 26, 2008


A frequency-domain technique to extract the normal mode shapes from the contaminated FRF measurements for highly coupled structures is developed. The relation between the complex FRFs and the normal mode shapes is derived. It is found that the normal mode shape cannot be extracted exactly from the complex mode shape. However, an exact relation between the normal mode shape and the complex FRF does exist. In the present method, only the magnitude and phase data at the undamped natural frequencies are utilized to extract the normal mode shapes. Hence, the effects of measurement noise can be reduced. A numerical example is employed to illustrate the applicability of the technique. The results indicate that this technique can successfully extract the normal modes from the noisy frequency response functions of a highly coupled structure.

Copyright © 1996 by The American Society of Mechanical Engineers
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