Article (Scientific journals)
A two-field approach to multibody dynamics of rotating flexible bodies
Géradin, Michel; Sonneville, Valentin
2023In Multibody System Dynamics
Peer reviewed
 

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Keywords :
Critical speed; Dynamic response; Finite element; Flexible body; Multibody dynamics; Reduction; Rotating systems; Rotor; Steady response; % reductions; Flexible bodies; Multi-body; Multibody dynamic; Rigid-body modes; Velocity field; Modeling and Simulation; Aerospace Engineering; Mechanical Engineering; Computer Science Applications; Control and Optimization
Abstract :
[en] A two-field version of the floating frame-of-reference approach is developed to describe the dynamics of a flexible body in the case of motion in a uniformly rotating frame. Full decoupling of the kinetic energy results from splitting of the motion into rigid-body modes of the floating center of mass and a velocity field orthogonal to them. The motion equations are developed from a canonical variational expression in which displacement and velocity fields play independent roles. They turn out to keep the same global structure as in the case of motion in an inertial frame. The discretization of all inertia terms is discussed in depth. It is also shown that, in the case of discretization of the continuum with 3D solid elements, all gyroscopic terms can be derived from a mass kernel and associated Si matrices. Model reduction is proposed using the Herting–Martinez method in order to automatically satisfy orthogonality of the velocity field to rigid-body modes. Two application examples of high-speed rotating systems are developed at length to assess the efficiency of the proposed methodology.
Disciplines :
Mechanical engineering
Author, co-author :
Géradin, Michel  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique ; Institute for Advanced Studies, Technical University of Munich, Garching, Germany
Sonneville, Valentin ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire des Systèmes Multicorps et Mécatroniques ; Institute for Advanced Studies, Technical University of Munich, Garching, Germany
Language :
English
Title :
A two-field approach to multibody dynamics of rotating flexible bodies
Publication date :
2023
Journal title :
Multibody System Dynamics
ISSN :
1384-5640
eISSN :
1573-272X
Publisher :
Springer Science and Business Media B.V.
Peer reviewed :
Peer reviewed
Funders :
TUM - Technische Universität München
Funding text :
The authors acknowledge support from the Technical University of Munich—Institute for Advanced Study.Open Access funding enabled and organized by Projekt DEAL. This research was supported by the Technical University of Munich – Institute for Advanced Study (Hans Fischer Fellowship).
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since 31 May 2023

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