Stability analysis of periodic solutions for flexible multibody dynamics

Shilei Han; Olivier A. Bauchau

doi:10.1115/DETC2019-97651

Stability analysis of periodic solutions for flexible multibody dynamics

Shilei Han^*, Olivier A. Bauchau

^*Corresponding author for this work

University of Maryland, College Park

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

Discontinuous Galerkin formulation is developed for stability analysis of periodic solutions of flexible multibody dynamics. The proposed approach takes rigid-body motions of each structural nodes as the unknowns. The rigid-body motions are interpolated by using dual spherical linear interpolation (dual-SLERP). The analysis is composed of two steps: (1) the periodic solution is obtained by solving nonlinear equations resulting from Galerkin method; (2) a linearization about the periodic solution leads to a periodic linear system and its stability is assessed by using Floquet’s method.

Original language	English
Title of host publication	15th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791859261
DOIs	https://doi.org/10.1115/DETC2019-97651
Publication status	Published - 2019
Externally published	Yes
Event	ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2019 - Anaheim, United States Duration: 18 Aug 2019 → 21 Aug 2019

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	6

Conference

Conference	ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2019
Country/Territory	United States
City	Anaheim
Period	18/08/19 → 21/08/19

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10.1115/DETC2019-97651

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Han, S., & Bauchau, O. A. (2019). Stability analysis of periodic solutions for flexible multibody dynamics. In 15th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (Proceedings of the ASME Design Engineering Technical Conference; Vol. 6). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC2019-97651

@inproceedings{2655161af7ed43189376ee946a89123c,

title = "Stability analysis of periodic solutions for flexible multibody dynamics",

abstract = "Discontinuous Galerkin formulation is developed for stability analysis of periodic solutions of flexible multibody dynamics. The proposed approach takes rigid-body motions of each structural nodes as the unknowns. The rigid-body motions are interpolated by using dual spherical linear interpolation (dual-SLERP). The analysis is composed of two steps: (1) the periodic solution is obtained by solving nonlinear equations resulting from Galerkin method; (2) a linearization about the periodic solution leads to a periodic linear system and its stability is assessed by using Floquet{\textquoteright}s method.",

author = "Shilei Han and Bauchau, {Olivier A.}",

note = "Publisher Copyright: Copyright {\textcopyright} 2019 ASME.; ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2019 ; Conference date: 18-08-2019 Through 21-08-2019",

year = "2019",

doi = "10.1115/DETC2019-97651",

language = "English",

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

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

booktitle = "15th International Conference on Multibody Systems, Nonlinear Dynamics, and Control",

address = "United States",

}

Han, S & Bauchau, OA 2019, Stability analysis of periodic solutions for flexible multibody dynamics. in 15th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Proceedings of the ASME Design Engineering Technical Conference, vol. 6, American Society of Mechanical Engineers (ASME), ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2019, Anaheim, United States, 18/08/19. https://doi.org/10.1115/DETC2019-97651

Stability analysis of periodic solutions for flexible multibody dynamics. / Han, Shilei; Bauchau, Olivier A.
15th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers (ASME), 2019. (Proceedings of the ASME Design Engineering Technical Conference; Vol. 6).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Stability analysis of periodic solutions for flexible multibody dynamics

AU - Han, Shilei

AU - Bauchau, Olivier A.

PY - 2019

Y1 - 2019

N2 - Discontinuous Galerkin formulation is developed for stability analysis of periodic solutions of flexible multibody dynamics. The proposed approach takes rigid-body motions of each structural nodes as the unknowns. The rigid-body motions are interpolated by using dual spherical linear interpolation (dual-SLERP). The analysis is composed of two steps: (1) the periodic solution is obtained by solving nonlinear equations resulting from Galerkin method; (2) a linearization about the periodic solution leads to a periodic linear system and its stability is assessed by using Floquet’s method.

AB - Discontinuous Galerkin formulation is developed for stability analysis of periodic solutions of flexible multibody dynamics. The proposed approach takes rigid-body motions of each structural nodes as the unknowns. The rigid-body motions are interpolated by using dual spherical linear interpolation (dual-SLERP). The analysis is composed of two steps: (1) the periodic solution is obtained by solving nonlinear equations resulting from Galerkin method; (2) a linearization about the periodic solution leads to a periodic linear system and its stability is assessed by using Floquet’s method.

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DO - 10.1115/DETC2019-97651

M3 - Conference contribution

AN - SCOPUS:85076459395

T3 - Proceedings of the ASME Design Engineering Technical Conference

BT - 15th International Conference on Multibody Systems, Nonlinear Dynamics, and Control

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2019

Y2 - 18 August 2019 through 21 August 2019

ER -

Stability analysis of periodic solutions for flexible multibody dynamics

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