An approach to parameter identification for a single-degree-of-freedom dynamical system based on short free acceleration response

An approach to parameter identification for the single-degree-of-freedom (s.d.o.f.) system is presented. It fits into the group of parametric system identification methods that use a structured mathematical model. It uses the free acceleration response of the system in order to estimate the parameters of the equation of motion for the model under consideration. The approach has been numerically tested on Duffing's oscillator with dry friction at different sampling rates of the acceleration time history and at different signal-to-noise ratios (SNR). The experiment has been carried out on an experimental device with the features of Duffing's oscillator. The validity and advantages of the approach are presented. The results show that this approach offers parameter identification with good quality for short time series using only a modest number of data points for a wide range of s.d.o.f. systems. (C) 2002 Academic Press.