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

Andrea Iannelli; Andres Marcos; Mark Lowenberg

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 proceeding › Conference 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 language	English
Title of host publication	Proceedings of the 7th European Conference for Aeronautics and Space Sciences (EUCASS 20177)
Publisher	EUCASS Association
Number of pages	15
Publication status	Published - 1 Jul 2017
Event	Eucass - 7th European Conference for Aeronautics and Space Sciences - Milan Duration: 3 Jul 2017 → 6 Jul 2017

Conference

Conference	Eucass - 7th European Conference for Aeronautics and Space Sciences
Period	3/07/17 → 6/07/17

Keywords

Nonlinear analysis
Robustness
Limit Cycle Oscillations
LCO stability

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@inproceedings{d26cf47eb125487bbb8a2878b4e4b3aa,

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

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.",

keywords = "Nonlinear analysis, Robustness, Limit Cycle Oscillations, LCO stability",

author = "Andrea Iannelli and Andres Marcos and Mark Lowenberg",

year = "2017",

month = jul,

day = "1",

language = "English",

booktitle = "Proceedings of the 7th European Conference for Aeronautics and Space Sciences (EUCASS 20177)",

publisher = "EUCASS Association",

note = "Eucass - 7th European Conference for Aeronautics and Space Sciences ; Conference date: 03-07-2017 Through 06-07-2017",

}

Nonlinear flutter analysis with uncertainties based on Describing Function and Structured Singular Value with an IQC validation. / Iannelli, Andrea; Marcos, Andres; Lowenberg, Mark.
Proceedings of the 7th European Conference for Aeronautics and Space Sciences (EUCASS 20177). EUCASS Association, 2017.

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

TY - GEN

T1 - Nonlinear flutter analysis with uncertainties based on Describing Function and Structured Singular Value with an IQC validation

AU - Iannelli, Andrea

AU - Marcos, Andres

AU - Lowenberg, Mark

PY - 2017/7/1

Y1 - 2017/7/1

N2 - 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.

AB - 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.

KW - Nonlinear analysis

KW - Robustness

KW - Limit Cycle Oscillations

KW - LCO stability

UR - http://www.eucass2017.eu

M3 - Conference Contribution (Conference Proceeding)

BT - Proceedings of the 7th European Conference for Aeronautics and Space Sciences (EUCASS 20177)

PB - EUCASS Association

T2 - Eucass - 7th European Conference for Aeronautics and Space Sciences

Y2 - 3 July 2017 through 6 July 2017

ER -

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

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Keywords

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