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

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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.

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Authors
  1. Li-li Wang
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  2. Jing-hui Zhang
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Wang, Ll., Zhang, Jh. Identification of Nonlinear Dynamic Systems: Time-Frequency Filtering and Skeleton Curves. Applied Mathematics and Mechanics 22, 210–219 (2001). https://doi.org/10.1023/A:1015549100721

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  • DOI: https://doi.org/10.1023/A:1015549100721

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