Wavelet and chaos analysis of flow induced vibration of a single cylinder in cross-flow

Abstract

This paper attempts to shed some light on the characteristics of the flow induced vibration of an elastically mounted single cylinder in a cross flow using the newly developed joint time–frequency analysis techniques (JTFA) and in particular the modulated Gaussian wavelet. More specifically, the modulated Gaussian wavelet is chosen in the current work, since it was shown in [1]to be more effective than other well known wavelets in analysing the flow induced vibrations of a single cylinder similar to the one under consideration. In the current work, this wavelet shows good evidence that the flow induced vibration process, in the range of system parameters considered, is most likely to undergo nonstationary, nonlinear and chaotic dynamics. It is found that for certain values of system parameters the nonlinearity may lead the system into chaos. Phase plane portraits, Poincaré maps and fractal dimensions have been used to confirm the chaotic behavior of the response of the system under investigation.