Abstract
Haar wavelets have an attractive property for non-smooth dynamical systems as they are capable of modelling sudden changes because of their local multi-resolution characteristics. In this paper, we applied the Haar wavelet collocation method embedding the segment technique to compute and detect periodic responses of an elastic impact oscillator. Comparisons between dynamical responses computed by a direct numerical simulation using a high accuracy Runge–Kutta algorithm and the proposed method are encouraging. Some key parameters of the impact oscillator were changed to demonstrate the effectiveness of the method. Moreover, the time–frequency index feature for the Haar wavelet coefficients describing impacts was proven to be an additional advantage of this method.
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