Uncertainty and Sensitivity Analysis of Bifurcation Loci Characterizing Nonlinear Landing-Gear Dynamics

A methodology is developed to efficiently, yet accurately, determine the uncertainty bounds of the bifurcation loci of nonlinear dynamic systems subjected to parametric variations. The chosen approach makes use of numerical continuation, higher-order singular-value decomposition, and surrogate model...

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Bibliographic Details
Published in:Journal of aircraft 2018-01, Vol.55 (1), p.162-172
Main Authors: Tartaruga, I, Cooper, J. E, Lowenberg, M. H, Sartor, P, Lemmens, Y
Format: Article
Language:English
Subjects:
Aerospace engineering
Aircraft
Aircraft components
Bifurcations
Decomposition
Design optimization
Loci
Mathematical models
Nonlinear systems
Numerical integration
Parameter uncertainty
Sensitivity analysis
Systems stability
Uncertainty analysis
Undercarriages
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Summary:A methodology is developed to efficiently, yet accurately, determine the uncertainty bounds of the bifurcation loci of nonlinear dynamic systems subjected to parametric variations. The chosen approach makes use of numerical continuation, higher-order singular-value decomposition, and surrogate modeling. The technique is demonstrated on a representative model of an aircraft undercarriage, where the effect of uncertainty in the structural parameters is propagated onto the prediction of the conditions for the onset of shimmy. Comparison with numerical integration results demonstrates the accuracy of the methodology.
ISSN:0021-8669
1533-3868
DOI:10.2514/1.C034252