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

Jubran, B. A.; Hamdan, M. A.; Shabaneh, N.H.

doi:10.1016/s0020-7225(97)00082-7

Cited by 12 publications

(5 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1 for the power spectrum of a sinusoid consisting of two distinctive harmonic spikes. By having smooth power spectra, it can be suggested that the errors of orders 9 and 10 are not periodic, but tend to be random or chaotic or in a transition to chaotic [20][21][22][23][24]. It is also clear that even though these orders yield small fitting errors, usually, they are unpredictably large which explains their chaotic and random nature.…”

Section: Chemical Compositionmentioning

confidence: 99%

Optimal aggregate testing using Vandermonde polynomials and spectral methods

Tam

Lê

2007

Journal of Hazardous Materials

View full text Add to dashboard Cite

Recycled aggregate (RA) has been used in various construction applications around the world mainly as sub-grade, roadwork and unbound materials, but not in higher-grade applications. The major barrier encountered is the variation of quality within RA, which causes lower strength, and poorer quality. This work studies the relationships among six parameters describing the characteristics of RA: (i) particle size distribution, (ii) particle density, (iii) porosity and absorption, (iv) particle shape, (v) strength and toughness, and (vi) chemical composition. Samples of RA from 10 demolition sites were obtained with service life ranging from 10 to 40 years. One additional set of samples was specifically collected from the Tuen Mun Area 38 Recycling Plant. The characteristics of these eleven sets of samples were then compared with normal aggregate samples. A Vandermonde matrix for interpolation polynomial coefficient estimation is used to give detailed mathematical relationships among pairs of samples, which can be used to work out redundant tests. Different orders of interpolation polynomials are used for comparison, hence the best-fit equations with the lowest fitting errors from different orders of polynomials can be found. Fitting error distributions are then studied by using spectral methods such as power spectra and bispectra. From that, the best equations for result estimations can be obtained. This study reveals that there is strong correlation among test parameters, and by measuring two of them: either "particle density" or "porosity and absorption" or "particle shape" or "strength and toughness", and "chemical content", it is sufficient to study RA.

show abstract

Section: Chemical Compositionmentioning

confidence: 99%

Optimal aggregate testing using Vandermonde polynomials and spectral methods

Tam

Lê

2007

Journal of Hazardous Materials

View full text Add to dashboard Cite

show abstract

“…One major advantage of the WPS technique over the Fourier power spectrum technique is that the signal energy distribution is shown in 3-D graphs, which do not suppress the phase information as is the case of the power spectrum, i.e., the phase information is included as a function of time. Jubran et al 24 used the Gaussian WT to study the behavior of flow-induced vibration and cross-flow in a cylinder. They compared the performance of a number of different mother wavelets including the Morlet wavelet, Daubechies wavelets, and the Gaussian wavelet, and then concluded that the Gaussian wavelet was the most suitable wavelet for this particular application.…”

Section: ͑5͒mentioning

confidence: 99%

Hyperbolic wavelet power spectra of nonstationary signals

Lê

2003

Opt. Eng

View full text Add to dashboard Cite

The hyperbolic kernel and hyperbolic wavelet were shown to be useful and effective in time-frequency signal processing (Le et al., 2001 and 2003). We introduce the time-frequency wavelet power spectrum as a useful technique to study signal characteristics in which the hyperbolic and sym3 wavelets are employed. The hyperbolic wavelet power spectrum technique is employed for signals including electrocardiogram (ECG), sinusoidal, transient exponential, music, and speech. Comparisons between the Fourier power spectrum technique and hyperbolic wavelet power spectrum technique are also made.

show abstract

“…Kim and Cho (2004) applied a mode -frequency analysis, a subroutine of the Structural Routine in ANSYS, to examine the natural frequency and relative amplitude of the tube. Jubran et al (1998) applied the newlydeveloped joint time-frequency analysis techniques (JTFA), and in particular the modulated Gaussian wavelet, to identify the characteristics of the FIV of an elastically mounted single cylinder subjected to cross-flow. Ajith et al (2008) analyzed the FIV of a square-section cylinder under interference conditions using a data-mining tool called 'decision tree'.…”

Section: Introductionmentioning

confidence: 99%

Experimental investigation on flow-induced vibration excitation in an elastically mounted circular cylinder in cylinder arrays

Selvakumar

Kumaraswamidhas

2015

Fluid Dyn. Res.

View full text Add to dashboard Cite

An experimental investigation was performed in a low-speed wind tunnel in which an elastically mounted circular cylinder was fitted with two accelerometers and surrounded by from one to six identical cylinders in order to study the fluid flow characteristics and predict the possibility of suppressing flow-induced vibration excitation in the test cylinder. The spectral diagram, amplitude and orbital motion of the test cylinder were used to analyze the vibration excitation under differing free stream velocities, natural frequencies of the test cylinder, and number of surrounding cylinders. In this study, for the test cylinder with the same natural frequency as the adjacent cylinders (24 Hz) the amplitude response showed that when the fluid flow velocity exceeded a critical value, which depends on the arrangement of the cylinders, fluid elastic instability occurred. Beyond the critical velocity the cylinder became excited and vibrated in a figure-of-eight pattern along with the line-dominated spectrum, which implies that by having the same frequency along with a phase shift, the characteristic behavior of the cylinder is observed to be like an oscillator with the cross-wise and stream-wise response. From the assessment of the amplitude response of the test cylinder it was observed that the upstream cylinders had a greater influence on the amplitude response than the downstream cylinders. On the other hand, when the test cylinder had a natural frequency different to the adjacent cylinders it was observed that the frequency had a minimal effect on the critical velocity, and yet beyond the critical velocity it had a significant influence on the vibration amplitude response.

show abstract

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

Cited by 12 publications

References 55 publications

Optimal aggregate testing using Vandermonde polynomials and spectral methods

Optimal aggregate testing using Vandermonde polynomials and spectral methods

Hyperbolic wavelet power spectra of nonstationary signals

Experimental investigation on flow-induced vibration excitation in an elastically mounted circular cylinder in cylinder arrays

Contact Info

Product

Resources

About