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Shock and Vibration
Volume 8, Issue 1, Pages 49-53
http://dx.doi.org/10.1155/2001/670505

Phase Plane Method for the Parameter Identification of Strongly Nonlinear Systems

Tang Jiashi

Department of Engineering Mechanics, Hunan University, Changsha 410082, China

Received 19 May 2001; Revised 19 May 2001

Copyright © 2001 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.

Abstract

A phase plane method is presented for the parameter identification of strongly nonlinear systems. The phase trajectory equation is taken as the mathematical model and the system parameters are identified by using the optimum technique. The method can be applied to conservative and non-conservative systems. The value ranges of the parameters are not limited. All examples simulated by computer show that the efficiency and accuracy of this approach are very good.