Dynamic analysis of rigid-flexible coupling spacecraft based on Euler parameters

Abstract With the development of aerospace technology, rigid-flexible coupling spacecraft with strong nonlinearity dominates, bringing huge challenges for numerical tools. This paper aims to accurately and quickly analyze the dynamic behavior of rigid-flexible coupling spacecraft. In our work, rigid...

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Main Authors: Yi Ji, Huan Zhang
Format: Article
Language:English
Published: Nature Portfolio 2025-05-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-99967-w
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author Yi Ji
Huan Zhang
author_facet Yi Ji
Huan Zhang
author_sort Yi Ji
collection DOAJ
description Abstract With the development of aerospace technology, rigid-flexible coupling spacecraft with strong nonlinearity dominates, bringing huge challenges for numerical tools. This paper aims to accurately and quickly analyze the dynamic behavior of rigid-flexible coupling spacecraft. In our work, rigid body and flexible body are both described by Euler parameters for avoiding singular angles. Then, for this type of strong nonlinear dynamic system, the BN-stable method that is unconditionally stable for nonlinear initial value problems proposed by the first author is introduced to solve the transient responses. To keep the accuracy of the numerical rotation matrix, the relation between the angular velocity and Euler parameters, and the constraint in the level of velocity, are introduced to reformulate the original BN-stable method. Through the dynamic analysis for rigid satellite bodies and flexible solar wings, we find that the proposed strategy can effectively simulate the dynamic responses of spacecraft, and compared to the currently popular strategy, our strategy enjoys considerable advantages in accuracy, stability, and dissipation.
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spelling doaj-art-7aeffc603fa94bc39803b7d027d05d0a2025-08-20T01:47:33ZengNature PortfolioScientific Reports2045-23222025-05-0115111210.1038/s41598-025-99967-wDynamic analysis of rigid-flexible coupling spacecraft based on Euler parametersYi Ji 0Huan Zhang1School of Astronautics, Harbin Institute of TechnologyMOE Key Laboratory of Dynamics and Control of Flight Vehicle, Beijing Institute of TechnologyAbstract With the development of aerospace technology, rigid-flexible coupling spacecraft with strong nonlinearity dominates, bringing huge challenges for numerical tools. This paper aims to accurately and quickly analyze the dynamic behavior of rigid-flexible coupling spacecraft. In our work, rigid body and flexible body are both described by Euler parameters for avoiding singular angles. Then, for this type of strong nonlinear dynamic system, the BN-stable method that is unconditionally stable for nonlinear initial value problems proposed by the first author is introduced to solve the transient responses. To keep the accuracy of the numerical rotation matrix, the relation between the angular velocity and Euler parameters, and the constraint in the level of velocity, are introduced to reformulate the original BN-stable method. Through the dynamic analysis for rigid satellite bodies and flexible solar wings, we find that the proposed strategy can effectively simulate the dynamic responses of spacecraft, and compared to the currently popular strategy, our strategy enjoys considerable advantages in accuracy, stability, and dissipation.https://doi.org/10.1038/s41598-025-99967-wRigid-flexible couplingEuler parametersBN-stabilityRotation matrixDynamic analysis
spellingShingle Yi Ji
Huan Zhang
Dynamic analysis of rigid-flexible coupling spacecraft based on Euler parameters
Scientific Reports
Rigid-flexible coupling
Euler parameters
BN-stability
Rotation matrix
Dynamic analysis
title Dynamic analysis of rigid-flexible coupling spacecraft based on Euler parameters
title_full Dynamic analysis of rigid-flexible coupling spacecraft based on Euler parameters
title_fullStr Dynamic analysis of rigid-flexible coupling spacecraft based on Euler parameters
title_full_unstemmed Dynamic analysis of rigid-flexible coupling spacecraft based on Euler parameters
title_short Dynamic analysis of rigid-flexible coupling spacecraft based on Euler parameters
title_sort dynamic analysis of rigid flexible coupling spacecraft based on euler parameters
topic Rigid-flexible coupling
Euler parameters
BN-stability
Rotation matrix
Dynamic analysis
url https://doi.org/10.1038/s41598-025-99967-w
work_keys_str_mv AT yiji dynamicanalysisofrigidflexiblecouplingspacecraftbasedoneulerparameters
AT huanzhang dynamicanalysisofrigidflexiblecouplingspacecraftbasedoneulerparameters