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Shock and Vibration
Volume 4, Issue 1, Pages 69-76

Numerical Study on Identification of Time Varying Parameters of Vibration Systems

Yanchun Liang,1 Qiang Zhen,1 and Zaishen Wang2

1Mathematics Department, Jilin University, Changchun 130023, China
2Open Laboratory of CAD/CAM, Technology for Advanced Manufacturing, Academia Sinica, Shenyang 110003, China

Revised 25 January 1995; Accepted 11 July 1996

Copyright © 1997 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An on-line least squares algorithm has previously been successfully applied to linear vibration systems in order to identify time varying parameters. In this article the limitations of the approach and the factors affecting the identification are further examined. The existence of the nonlinear term is determined by means of the time varying characteristics of the estimated linear parameters using the linear model and the data from a time invariant nonlinear system. The identification of the time varying linear parameters is also examined in accordance with the linear model by using the data with nonlinear elements.