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- W2181397074 abstract "Analytic wavelet transform is used for estimation of nonlinear damping parameter in a self-excited system modeled by the van der Pol equation. Free vibration response of a van der Pol system initially shows a transient phase before attaining steady state limit cycle oscillations. Wavelet transform is performed on this initial transient response using the Gabor wavelet function. Instantaneous frequency and amplitude envelope of the response are determined. The analytic expressions governing the instantaneous frequency and amplitude envelope of the response are known from Krylov-Bogoliubov technique. The numerical result obtained from wavelet transform and closed form solutions from Krylov-Bogoliubov technique are used in conjunction to determine the nonlinear parameter. Errors in the estimation of damping parameters are analyzed. The minimum sampling frequency requirement to minimize estimation error is also discussed. The procedure gives reasonably good estimate in the presence of noise. NOMENCLATURE" @default.
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- W2181397074 title "Nonlinear Damping Estimation of Self-Excited System Using Wavelet Transform" @default.
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