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.

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

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