Nonlinear flutter analysis with uncertainties based on Describing Function and Structured Singular Value with an IQC validation

Andrea Iannelli, Andres Marcos, Mark Lowenberg

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

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Abstract

This work deals with the stability analysis of an aeroelastic system affected by freeplay and uncertainties.
Nonlinearities can trigger Limit Cycle Oscillations (LCOs), self-sustained periodic responses likely to provoke critical damages. Moreover, uncertainties in the models might lead to inaccurate predictions in terms of onset and features of these instabilities.
The paper shows a possible strategy to tackle this problem, pivoting on the Describing Functions method to model freeplay and µ analysis to study stability in the face of parametric uncertainties. The simplifying hypotheses underlying the framework are commented, and an approach to validate the main results, by means of Integral Quadratic Constraints, is finally proposed.
Original languageEnglish
Title of host publicationProceedings of the 7th European Conference for Aeronautics and Space Sciences (EUCASS 20177)
PublisherEUCASS Association
Number of pages15
Publication statusPublished - 1 Jul 2017
EventEucass - 7th European Conference for Aeronautics and Space Sciences - Milan
Duration: 3 Jul 20176 Jul 2017

Conference

ConferenceEucass - 7th European Conference for Aeronautics and Space Sciences
Period3/07/176/07/17

Keywords

  • Nonlinear analysis
  • Robustness
  • Limit Cycle Oscillations
  • LCO stability

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