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Vortex-induced vibration experiments with a long semi-immersed flexible cylinder under tension modulation: Fourier transform and Hilbert–Huang spectral analyses

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Abstract

An experimental investigation of the vortex-induced vibration phenomenon on a long semi-immersed flexible cylinder in constant current profile were carried out at a recirculating water channel facility. The experiments are part of a comprehensive research project which aims a better understanding of non-linear riser dynamics. Vertical and prescribed monochromatic harmonic motions were imposed to the top with amplitude \(A_t/L\approx 1\,\%\) causing eigenfrequencies modulations. The mass ratio parameter is \(m^*\approx 10\), and the ratio between the total length \(L\) and the immersed length \(L_\text {im}\) is \(L/L_\text {im}\approx 3.5\). The Reynolds number \(Re\) range lies within the interval \(10^3<Re<10^4\). Three values of motion frequency \(f_t\) were imposed, being them \(f_t:f_{N,1}=\)1:3, 1:2 and 1:1 where \(f_{N,1}\) is the first eigenfrequency. The application of both the Fourier Transform and the Hilbert–Huang Transform allowed identifying subharmonic components and also frequency modulation aspects in the data.

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Notes

  1. Ratio between the structural oscillating mass and the mass of fluid displaced by the body.

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Acknowledgments

The authors would like to acknowledge FAPESP, FINEP, Petrobras and CNPq for sponsoring VIV researches at the University of São Paulo. First author is grateful to FAPESP for his post-doctoral scholarship (process 2013/09802-2). Fourth author is grateful to the Brazilian Navy for all support provided during his sabbatical period, 2011–2012. Mr. Douglas Silva is also acknowledged for his help with the experimental apparatus.

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Authors and Affiliations

  1. LMO-Offshore Mechanics Laboratory, Escola Politécnica, University of São Paulo, Av. Prof Mello Moraes, São Paulo, 2231, Brazil

    Guilherme R. Franzini, Celso P. Pesce & André L. C. Fujarra

  2. LMC-Laboratory of Computational Mechanics, Escola Politécnica, University of São Paulo, São Paulo, Brazil

    Guilherme R. Franzini & Carlos E. N. Mazzilli

  3. TPN-Numerical Offshore Tank, Escola Politécnica, University of São Paulo, São Paulo, Brazil

    Guilherme R. Franzini, Rodolfo T. Gonçalves & André L. C. Fujarra

  4. NDF-Fluids and Dynamics Research Group, Escola Politécnica, University of São Paulo, São Paulo, Brazil

    Guilherme R. Franzini & Julio R. Meneghini

  5. Petrobras, Rio de Janeiro, Brazil

    Pedro Mendes

Authors
  1. Guilherme R. Franzini
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  2. Rodolfo T. Gonçalves
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  3. Celso P. Pesce
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  4. André L. C. Fujarra
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  5. Carlos E. N. Mazzilli
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  6. Julio R. Meneghini
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  7. Pedro Mendes
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Corresponding authors

Correspondence to Guilherme R. Franzini or Celso P. Pesce.

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Technical Editor: Celso Kazuyuki Morooka.

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Franzini, G.R., Gonçalves, R.T., Pesce, C.P. et al. Vortex-induced vibration experiments with a long semi-immersed flexible cylinder under tension modulation: Fourier transform and Hilbert–Huang spectral analyses. J Braz. Soc. Mech. Sci. Eng. 37, 589–599 (2015). https://doi.org/10.1007/s40430-014-0182-7

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  • DOI: https://doi.org/10.1007/s40430-014-0182-7

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