Comparison of Various Basic Wavelets for the Analysis of Flow-Induced Vibration of a Cylinder in Cross Flow

Investigation of Strouhal frequencies of two staggered bluff bodies and detection of multistable flow by wavelets

“…A scan analysis using the so-called short-term Fourier transform (STFT) is used in this case. However, it also has some limitations as described by Daubechies (1990), Newland (1993), Hamdan et al (1996), and Torrence and Compo (1998). The limitations of STFT are mostly overcome by using the wavelet transform which produces a potentially more revealing picture of the time-frequency localization of signals.…”

“…Though there are many mother wavelets used in practice, the Mexican hat wavelet, Gabor wavelet and Morlet wavelet are commonly used in the field of fluid mechanics (Hamdan et al, 1996;Li, 1997;Li and Nozaki, 1997;Kareem and Kijewski, 2002). The wavelet map is a graphical representation of W(s, b) of two variables s and b for a given mother wavelet.…”

“…However, wavelet analysis is relatively new and it has not yet been applied to its full potential in the areas of fluid mechanics. Li (1997Li ( , 1998 and Yilmaz and Kodal (2000) used wavelet analysis to identify dominant frequencies in a coaxial jet flow, and Hamdan et al (1996) used it in self-excited flow-induced vibration. Recently, Alam et al (2003a, b) used wavelet and cross-wavelet transforms to trace out characteristics of switching flow which occurs for certain configurations of two circular cylinders in tandem and side-by-side arrangements.…”

Wavelet Analysis of Vibration Signals of an Overhang Rotor With a Propagating Transverse Crack

“…The results showed that wavelet could decompose strain response into time and frequency components. Hamdan et al [24] carried out the comparison of various basic wavelets for the analysis of #ow-induced vibration of a cylinder in a cross-#ow. Newland [25] demonstrated the application of harmonic wavelets in time}frequency mapping of transient signals.…”

Experimental analysis of fluid-structure interaction phenomena on a vertical flexible cylinder: modal coeficients and parametric resonance.

“…A simple FFT can, at a first sight, tell a lot from the signal spectra, however the FFT analysis is best suitable for ergodic signals with no amplitude modulation; see Proakis and Manolakis (2007). On the other hand, the STFT and the GT would exhibit more reliable results, giving a Joint Time-Frequency Analysis (JTFA) with more details about the dynamics hidden on the temporal series; see Hamdan et al (1996), Jubran et al (1998) & Ikoma et al (2012. About JTFA using STFr and GT, Jubran et al said: It is to be noted that STFT method is one of the most widely used classical methods of JTFA, which is also used, for the analysis of nonstationary signals where the time series is scanned in overlapping windows.…”