Abstract
The slowly-variant-system is defined and analyzed in this paper and the nonlinear relationship between its instantaneous parameters and the instantaneous amplitude and frequency of its free vibration response is established. By defining the band-pass mapping, a slowly-variant-system which we call the accompanied slowly-variant-system is extracted from the nonlinear system; and the relationship between the two systems is discussed. Also, the skeleton curves that can illustrate the nonlinearity and the main properties of the nonlinear system directly and concisely are defined. Work done in this paper opens a new way for nonlinearity detection and identification for nonlinear systems.
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Lili, W., Jinghui, Z. & Shiyue, H. The accompanied slowly-variant-system of nonlinear dynamic systems. Acta Mech Sinica 15, 73–81 (1999). https://doi.org/10.1007/BF02487903
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DOI: https://doi.org/10.1007/BF02487903