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A modified non-linear model for high mass ratio square cylinder

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Abstract

An improved analytical method for the modelling of vortex induced vibrations (VIV) of a square section cylinder is reported. The method is based on a typical structural oscillator coupled to a non-linear wake (Van der Pol) oscillator. Improvements are introduced to the pre-existing analytical methods sorted out from the literature. Dissipation term in the structural oscillator model is modified by the addition of a non-linear damping term. Definition of the wake oscillator is updated simultaneously to include stream-wise force component exerted on the structure. Results show that our modified analytical method correctly predicts the location of peak lock-in amplitude on the amplitude vs reduced-velocity map as observed in recent experiments. The range of lock-in is also reasonably well predicted. The modified method shows that the influence of non-linear structural damping and stream-wise force components cannot be neglected while modelling high mass ratio systems.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Muhammad Ali Jinnah University, Islamabad, Pakistan

    Nadeem A. Sheikh

  2. Department of Mechanical Engineering, University of Engineering and Technology, Taxila, Pakistan

    S. Manzoor & S. Khushnood

Authors
  1. Nadeem A. Sheikh
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  2. S. Manzoor
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  3. S. Khushnood
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Corresponding author

Correspondence to Nadeem A. Sheikh.

Additional information

Recommended by Associate Editor Dongshin Shin

Nadeem A. Sheikh has Ph.D. in fluid mechanics from Loughborough University. He has interests in non-Newtonian fluids and fluid structure interactions. He has experience in modeling and simulation of non-linear problems in fluid mechanics and heat transfer.

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Sheikh, N.A., Manzoor, S. & Khushnood, S. A modified non-linear model for high mass ratio square cylinder. J Mech Sci Technol 28, 4989–4996 (2014). https://doi.org/10.1007/s12206-014-1120-4

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  • DOI: https://doi.org/10.1007/s12206-014-1120-4

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