Rotorcraft stability analysis using Lyapunov characteristic exponents estimated from multibody dynamics

Gianni Cassoni; Alessandro Cocco; Aykut Tamer; Andrea Zanoni; Pierangelo Masarati

doi:10.1007/s13272-024-00724-y

Rotorcraft stability analysis using Lyapunov characteristic exponents estimated from multibody dynamics

Gianni Cassoni, Alessandro Cocco, Aykut Tamer, Andrea Zanoni, Pierangelo Masarati

Research output: Contribution to journal › Article › peer-review

Abstract

Stability analysis of complex, nonlinear dynamical systems is a challenge. The use of Lyapunov Characteristic Exponents through a Jacobian-less method is proposed as a means to identify the Maximum Lyapunov Characteristic Exponent, namely the fundamental stability indicator of a generic problem, solely from time series obtained through general-purpose multibody dynamics simulations of complex rotorcraft aeromechanics models. The method is first applied to a relatively simple scenario concerning the identification of ground resonance. Then, its application to more complex models is addressed by studying the aeroelastic stability and identifying the whirl flutter of the XV-15 tiltrotor using a comprehensive aeroelastic model.

Original language	English
Pages (from-to)	703-719
Number of pages	17
Journal	CEAS Aeronautical Journal
Volume	15
Issue number	3
Early online date	12 Mar 2024
DOIs	https://doi.org/10.1007/s13272-024-00724-y
Publication status	Published - 31 Jul 2024

Data Availability Statement

The model used for the ground resonance example is available at https://gitlab.com/zanoni-mbdyn/mbdyn-tests-public/-/tree/develop/Hammond/GR_MBDyn. The models used for whirl-flutter analysis may be requested to the authors.

Funding

Open access funding provided by Politecnico di Milano within the CRUI-CARE Agreement. This work received no funding.

Funders	Funder number
Politecnico di Milano

Keywords

Jacobian-less methods
Lyapunov characteristic exponents
Multibody dynamics
Stability

ASJC Scopus subject areas

Transportation
Aerospace Engineering

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10.1007/s13272-024-00724-yLicence: CC BY

Cite this

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AU - Masarati, Pierangelo

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AB - Stability analysis of complex, nonlinear dynamical systems is a challenge. The use of Lyapunov Characteristic Exponents through a Jacobian-less method is proposed as a means to identify the Maximum Lyapunov Characteristic Exponent, namely the fundamental stability indicator of a generic problem, solely from time series obtained through general-purpose multibody dynamics simulations of complex rotorcraft aeromechanics models. The method is first applied to a relatively simple scenario concerning the identification of ground resonance. Then, its application to more complex models is addressed by studying the aeroelastic stability and identifying the whirl flutter of the XV-15 tiltrotor using a comprehensive aeroelastic model.

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Rotorcraft stability analysis using Lyapunov characteristic exponents estimated from multibody dynamics

Abstract

Data Availability Statement

Funding

Keywords

ASJC Scopus subject areas

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