Higher period stochastic bifurcation of nonlinear airfoil fluid-structure interaction
type: Item
instance of: scholarly article
title: Higher period stochastic bifurcation of nonlinear airfoil fluid-structure interaction
zbMATH Open document ID: 1181.37074
DOI: 10.1155/2009/394387
author: Jeroen A. S. Witteveen
author: Hester Bijl
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
full work available at URL: https://eudml.org/doc/45840
review text: Summary: The higher period stochastic bifurcation of a nonlinear airfoil fluid-structure interaction system is analyzed using an efficient and robust uncertainty quantification method for unsteady problems. The computationally efficient numerical approach achieves a constant error with a constant number of samples in time. The robustness of the method is assured by the extrema diminishing concept in probability space. The numerical results demonstrate that the system is even more sensitive to randomness at the higher period bifurcation than in the first bifurcation point. In this isolated point in parameter space the clear hierarchy of increasing importance of the random nonlinearity parameter, initial condition, and natural frequency ratio, respectively, even suddenly reverses. Disregarding seemingly less important random parameters based on a preliminary analysis can, therefore, be an unreliable approach for reducing the number of relevant random input parameters.
Mathematics Subject Classification ID: 37H20
Mathematics Subject Classification ID: 37M20
Mathematics Subject Classification ID: 37N15
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74H60
Mathematics Subject Classification ID: 76B10
zbMATH DE Number: 5632482
Wikidata QID: Q58648987
MaRDI profile type: Publication
OpenAlex ID: W2142234604
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description: scientific article; zbMATH DE number 5632482