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Parameter Identification of Weakly Nonlinear Vibration System in Frequency Domain
Author(s) -
Peng Jie-hua,
Jiashi Tang,
Zili Chen
Publication year - 2003
Publication title -
shock and vibration
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 45
eISSN - 1875-9203
pISSN - 1070-9622
DOI - 10.1155/2004/634785
Subject(s) - nonlinear system , frequency domain , frequency response , vibration , describing function , control theory (sociology) , perturbation (astronomy) , function (biology) , transformation (genetics) , system identification , mathematics , nonlinear system identification , identification (biology) , restoring force , mathematical analysis , engineering , physics , computer science , acoustics , structural engineering , software engineering , artificial intelligence , chemistry , data modeling , biology , biochemistry , control (management) , quantum mechanics , evolutionary biology , botany , electrical engineering , gene
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

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