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Research Papers

Numerical Approach to Identifiability Test of Parametric Models in Nonlinear Mechanical Systems

[+] Author and Article Information
Zhang Jia-fan

School of Mechanical Engineering,  Wuhan Polytechnic University, Wuhan 430023, Chinajfz@whpu.edu.cn

Yan Qing-hua

School of Mechanical Engineering,  Wuhan Polytechnic University, Wuhan 430023, Chinawhyan@whpu.edu.cn

Zhai Tong

School of Mechanical Engineering,  Wuhan Polytechnic University, Wuhan 430023, Chinazt@whpu.edu.cn

J. Dyn. Sys., Meas., Control 133(5), 051002 (Jul 19, 2011) (4 pages) doi:10.1115/1.4004062 History: Received February 02, 2010; Revised March 21, 2011; Published July 19, 2011; Online July 19, 2011

Model parameters of a nonlinear mechanical system are identifiable if a unique relationship exists between its input–output behavior and the parameter values. The identifiability analysis of the parameters is one of the most important steps in the parametric model identification of nonlinear mechanical systems. The concept and two numerical approaches of analyzing the identifiability are presented in this paper. We propose that, via case studies, one had better check of the local identifiability of a parametric model at the identified parameter point using the numerical approach, when the parameter identification procedure has been finished.

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Copyright © 2011 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

A SDOF mechanical system

Grahic Jump Location
Figure 2

A two-DOFs Van der Pol oscillator

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