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Shock and Vibration
Volume 11 (2004), Issue 5-6, Pages 685-692

Parameter Identification of Weakly Nonlinear Vibration System in Frequency Domain

Jiehua Peng,1,2 Jiashi Tang,1 and Zili Chen1,3

1Department of Mechanics, Hunan University, Changsha, 410082, China
2Department of physics, Shaoyang University, Shaoyang, 422000, China
3College of Architectural Engineering, Central South Forestry University, Zhuzhou, 412008, China

Received 1 November 2001; Revised 1 December 2003

Copyright © 2004 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.


A new method of identifying parameters of nonlinearly vibrating system in frequency domain is presented in this paper. The problems of parameter identification of the nonlinear dynamic system with nonlinear elastic force or nonlinear damping force are discussed. In the method, the mathematic model of parameter identification is frequency response function. Firstly, by means of perturbation method the frequency response function of weakly nonlinear vibration system is derived. Next, a parameter transformation is made and the frequency response function becomes a linear function of the new parameters. Then, based on this function and with the least square method, physical parameters of the system are identified. Finally, the applicability of the proposed technique is confirmed by numerical simulation.