Higher-order spectral analysis to identify quadratic nonlinearities in fluid-structure interaction
type: Item
instance of: scholarly article
title: Higher-order spectral analysis to identify quadratic nonlinearities in fluid-structure interaction
zbMATH Open document ID: 1426.76097
DOI: 10.1155/2018/2394124
author: Imran Akhtar
author: Mohammad A. Elyyan
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Hydrodynamic forces on a structure are the manifestation of fluid-structure interaction. Since this interaction is nonlinear, these forces consist of various frequencies: fundamental, harmonics, excitation, sum, and difference of these frequencies. To analyze this phenomenon, we perform numerical simulations of the flow past stationary and oscillating cylinders at low Reynolds numbers. We compute the pressure, integrate it over the surface, and obtain the lift and drag coefficients for the two configurations: stationary and transversely oscillating cylinders. Higher-order spectral analysis is performed to investigate the nonlinear interaction between the forces. We confirmed and investigated the quadratic coupling between the lift and drag coefficients and their phase relationship. We identify additional frequencies and their corresponding energy present in the flow field that appear as the manifestation of quadratic nonlinear interaction.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 76D25
zbMATH DE Number: 7018639
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2394124
OpenAlex ID: W2784051599
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description: scientific article; zbMATH DE number 7018639