STABILITY OF ROTORCRAFT GROUND RESONANCE BY ESTIMATING LYAPUNOV CHARACTERISTIC EXPONENTS FROM MULTIBODY DYNAMICS

Gianni Cassoni; Andrea Zanoni; Aykut Tamer; Pierangelo Masarati

doi:10.1115/DETC2022-88995

STABILITY OF ROTORCRAFT GROUND RESONANCE BY ESTIMATING LYAPUNOV CHARACTERISTIC EXPONENTS FROM MULTIBODY DYNAMICS

Gianni Cassoni, Andrea Zanoni, Aykut Tamer, Pierangelo Masarati

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

4 Citations (SciVal)

Abstract

This work discusses the use of Lyapunov Characteristic Exponents to assess the stability of nonlinear, time-dependent mechanical systems. Specific attention is dedicated to methods capable of estimating the largest exponent without requiring the Jacobian matrix of the problem, which can be applied to time histories resulting from existing multibody solvers. Helicopter ground resonance is analyzed. Improvements over the available literature are: the problem is formulated in physical coordinates, without eliminating periodicity through multiblade coordinates; the rotation of the blades is not linearized; the problem is modeled considering absolute positions and orientations of parts. The dynamic instability that arises at some angular velocities when the isotropy of the rotor is broken (e.g., caused by the failure of one lead-lag damper, a design test condition) is observed to evolve into a large amplitude limit cycle, where the usual Floquet-Lyapunov analysis of the linearized time-periodic simply predicts instability.

Original language	English
Title of host publication	18th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)
Publisher	The American Society of Mechanical Engineers(ASME)
ISBN (Electronic)	9780791886304
DOIs	https://doi.org/10.1115/DETC2022-88995
Publication status	Published - 11 Nov 2022
Event	ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2022 - St. Louis, USA United States Duration: 14 Aug 2022 → 17 Aug 2022

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	9

Conference

Conference	ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2022
Country/Territory	USA United States
City	St. Louis
Period	14/08/22 → 17/08/22

Bibliographical note

Publisher Copyright:
Copyright © 2022 by ASME.

ASJC Scopus subject areas

Mechanical Engineering
Computer Graphics and Computer-Aided Design
Computer Science Applications
Modelling and Simulation

Access to Document

10.1115/DETC2022-88995

Cite this

Cassoni, G., Zanoni, A., Tamer, A., & Masarati, P. (2022). STABILITY OF ROTORCRAFT GROUND RESONANCE BY ESTIMATING LYAPUNOV CHARACTERISTIC EXPONENTS FROM MULTIBODY DYNAMICS. In 18th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC) Article V009T09A025 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 9). The American Society of Mechanical Engineers(ASME). https://doi.org/10.1115/DETC2022-88995

STABILITY OF ROTORCRAFT GROUND RESONANCE BY ESTIMATING LYAPUNOV CHARACTERISTIC EXPONENTS FROM MULTIBODY DYNAMICS. / Cassoni, Gianni; Zanoni, Andrea; Tamer, Aykut et al.
18th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC). The American Society of Mechanical Engineers(ASME), 2022. V009T09A025 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 9).

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

Cassoni, G, Zanoni, A, Tamer, A & Masarati, P 2022, STABILITY OF ROTORCRAFT GROUND RESONANCE BY ESTIMATING LYAPUNOV CHARACTERISTIC EXPONENTS FROM MULTIBODY DYNAMICS. in 18th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)., V009T09A025, Proceedings of the ASME Design Engineering Technical Conference, vol. 9, The American Society of Mechanical Engineers(ASME), ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2022, St. Louis, USA United States, 14/08/22. https://doi.org/10.1115/DETC2022-88995

Cassoni G, Zanoni A, Tamer A, Masarati P. STABILITY OF ROTORCRAFT GROUND RESONANCE BY ESTIMATING LYAPUNOV CHARACTERISTIC EXPONENTS FROM MULTIBODY DYNAMICS. In 18th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC). The American Society of Mechanical Engineers(ASME). 2022. V009T09A025. (Proceedings of the ASME Design Engineering Technical Conference). doi: 10.1115/DETC2022-88995

Cassoni, Gianni ; Zanoni, Andrea ; Tamer, Aykut et al. / STABILITY OF ROTORCRAFT GROUND RESONANCE BY ESTIMATING LYAPUNOV CHARACTERISTIC EXPONENTS FROM MULTIBODY DYNAMICS. 18th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC). The American Society of Mechanical Engineers(ASME), 2022. (Proceedings of the ASME Design Engineering Technical Conference).

@inproceedings{7776cb38cfc84201af3099a7109bcf57,

title = "STABILITY OF ROTORCRAFT GROUND RESONANCE BY ESTIMATING LYAPUNOV CHARACTERISTIC EXPONENTS FROM MULTIBODY DYNAMICS",

abstract = "This work discusses the use of Lyapunov Characteristic Exponents to assess the stability of nonlinear, time-dependent mechanical systems. Specific attention is dedicated to methods capable of estimating the largest exponent without requiring the Jacobian matrix of the problem, which can be applied to time histories resulting from existing multibody solvers. Helicopter ground resonance is analyzed. Improvements over the available literature are: the problem is formulated in physical coordinates, without eliminating periodicity through multiblade coordinates; the rotation of the blades is not linearized; the problem is modeled considering absolute positions and orientations of parts. The dynamic instability that arises at some angular velocities when the isotropy of the rotor is broken (e.g., caused by the failure of one lead-lag damper, a design test condition) is observed to evolve into a large amplitude limit cycle, where the usual Floquet-Lyapunov analysis of the linearized time-periodic simply predicts instability.",

author = "Gianni Cassoni and Andrea Zanoni and Aykut Tamer and Pierangelo Masarati",

note = "Publisher Copyright: Copyright {\textcopyright} 2022 by ASME.; ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2022 ; Conference date: 14-08-2022 Through 17-08-2022",

year = "2022",

month = nov,

day = "11",

doi = "10.1115/DETC2022-88995",

language = "English",

series = "Proceedings of the ASME Design Engineering Technical Conference",

publisher = "The American Society of Mechanical Engineers(ASME)",

booktitle = "18th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)",

address = "USA United States",

}

TY - GEN

T1 - STABILITY OF ROTORCRAFT GROUND RESONANCE BY ESTIMATING LYAPUNOV CHARACTERISTIC EXPONENTS FROM MULTIBODY DYNAMICS

AU - Cassoni, Gianni

AU - Zanoni, Andrea

AU - Tamer, Aykut

AU - Masarati, Pierangelo

PY - 2022/11/11

Y1 - 2022/11/11

N2 - This work discusses the use of Lyapunov Characteristic Exponents to assess the stability of nonlinear, time-dependent mechanical systems. Specific attention is dedicated to methods capable of estimating the largest exponent without requiring the Jacobian matrix of the problem, which can be applied to time histories resulting from existing multibody solvers. Helicopter ground resonance is analyzed. Improvements over the available literature are: the problem is formulated in physical coordinates, without eliminating periodicity through multiblade coordinates; the rotation of the blades is not linearized; the problem is modeled considering absolute positions and orientations of parts. The dynamic instability that arises at some angular velocities when the isotropy of the rotor is broken (e.g., caused by the failure of one lead-lag damper, a design test condition) is observed to evolve into a large amplitude limit cycle, where the usual Floquet-Lyapunov analysis of the linearized time-periodic simply predicts instability.

AB - This work discusses the use of Lyapunov Characteristic Exponents to assess the stability of nonlinear, time-dependent mechanical systems. Specific attention is dedicated to methods capable of estimating the largest exponent without requiring the Jacobian matrix of the problem, which can be applied to time histories resulting from existing multibody solvers. Helicopter ground resonance is analyzed. Improvements over the available literature are: the problem is formulated in physical coordinates, without eliminating periodicity through multiblade coordinates; the rotation of the blades is not linearized; the problem is modeled considering absolute positions and orientations of parts. The dynamic instability that arises at some angular velocities when the isotropy of the rotor is broken (e.g., caused by the failure of one lead-lag damper, a design test condition) is observed to evolve into a large amplitude limit cycle, where the usual Floquet-Lyapunov analysis of the linearized time-periodic simply predicts instability.

UR - http://www.scopus.com/inward/record.url?scp=85142629914&partnerID=8YFLogxK

U2 - 10.1115/DETC2022-88995

DO - 10.1115/DETC2022-88995

M3 - Chapter in a published conference proceeding

AN - SCOPUS:85142629914

T3 - Proceedings of the ASME Design Engineering Technical Conference

BT - 18th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)

PB - The American Society of Mechanical Engineers(ASME)

T2 - ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2022

Y2 - 14 August 2022 through 17 August 2022

ER -

STABILITY OF ROTORCRAFT GROUND RESONANCE BY ESTIMATING LYAPUNOV CHARACTERISTIC EXPONENTS FROM MULTIBODY DYNAMICS

Abstract

Publication series

Conference

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this