Parametric recognition of a nonlinear system based on time domain response sensitivity analysis

LIU Guang,LIU Jike,L Zhongrong

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (21) : 213-219.

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PDF(1034 KB)
Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (21) : 213-219.

Parametric recognition of a nonlinear system based on time domain response sensitivity analysis

  • LIU Guang,LIU Jike,L Zhongrong
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Abstract

The finite element model modification method based on time domain response sensitivity analysis is widely used in local damage and crack parametric recognitions of linear structural systems.Here, this method was extended in parametric recognition of a nonlinear system.Starting from the motion equation of this nonlinear system, its forced vibration response was obtained with the numerical integration method, and then the time domain response sensitivity with respect to each parameter was derived through differentiating the response with respect to each physical parameter to construct the corresponding response sensitivity matrix for parametric identification inverse problem.Parametric identifications for Holmes-Duffing nonlinear system and the dual-sine Gordon system widely used in physical engineering were taken as examples to illustrate the application process of the proposed method.The results showed that the response sensitivity analysis method can be used to accurately and quickly identify parameters of nonlinear systems, and it has the advantage of being insensitive to measurement noise.

Key words

Parameter identification / nonlinear system / response sensitivity analysis / Holmes-Duffing system / double sine Gordon system

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LIU Guang,LIU Jike,L Zhongrong. Parametric recognition of a nonlinear system based on time domain response sensitivity analysis[J]. Journal of Vibration and Shock, 2018, 37(21): 213-219

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