Identification of Nonlinear Dynamic Systems:Time-Frequency Filtering and Skeleton Curves

WANG Li-li; ZHANG Jing-hui

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(2): 182-190

WANG Li-li, ZHANG Jing-hui. Identification of Nonlinear Dynamic Systems:Time-Frequency Filtering and Skeleton Curves[J]. Applied Mathematics and Mechanics, 2001, 22(2): 182-190.

Citation:

WANG Li-li, ZHANG Jing-hui. Identification of Nonlinear Dynamic Systems:Time-Frequency Filtering and Skeleton Curves[J]. Applied Mathematics and Mechanics, 2001, 22(2): 182-190.

Citation:

WANG Li-li, ZHANG Jing-hui. Identification of Nonlinear Dynamic Systems:Time-Frequency Filtering and Skeleton Curves[J]. Applied Mathematics and Mechanics, 2001, 22(2): 182-190.

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Identification of Nonlinear Dynamic Systems:Time-Frequency Filtering and Skeleton Curves

WANG Li-li^1,2,
ZHANG Jing-hui¹

1.
School of Civil Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, P. R. China;
2.
Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P. R. China

Received Date: 2000-03-06
Rev Recd Date: 2000-09-19
Publish Date: 2001-02-15

Abstract

Abstract

The nonlinear behavior varying with the instantaneous response was analyzed through the joint time-frequency analysis method for a class of S. D. O. F nonlinear system. A masking operator on definite regions is defined and two theorems are presented. Based on these, the nonlinear system is modeled with a special time-varying linear one, called the generalized skeleton linear system(GSLS). The frequency skeleton curve and the damping skeleton curve are defined to describe the main feature of the non-linearity as well. Moreover, an identification method is proposed through the skeleton curves and the time-frequency filtering technique.
- system identification,
- nonlinear dynamic system,
- non-stationary signal,
- time-frequency analysis,
- Hilbert transform

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References(8)

References

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