Flexible Multibody Dynamics: A Finite Element Approach

By M. Géradin, Alberto Cardona. 2001

703 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/5b481fd5d6a00ef744c4adaa715bc93839edfd44

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Citations in the corpus

Structural and Aerodynamic Models in Nonlinear Flight Dynamics of Very Flexible Aircraft (2010, background): “(5), (13), and (21), or, as well as the total forces in the aircraft free-body Eqs.”
A nonsmooth generalized‐ α scheme for flexible multibody systems with unilateral constraints (2013, unknown): “Cardona and Géradin [5] proposed to apply these solvers to index-3 DAEs in ﬂexible multibody dynamics.”
Sensitivity analysis for dynamic mechanical systems with finite rotations (2008, background): “For additional details about the parameterization of rotations, we refer to [21, 32].”
Systematic modeling of a chain of N-flexible link manipulators connected by revolute–prismatic joints using recursive Gibbs-Appell formulation (2014, background): “This technique is not the subject of the present paper; and for further studies, one may refer to [1] in which the mathematical modeling of flexible multibody systems has been presented.”
A 3D Finite Element Method for Flexible Multibody Systems (2006, methodology): “Multibody system dynamics has developed to a stand-alone field of research in the past decades and several books emerged, among them [5, 10, 20, 21, 23, 24, 27, 28, 29, 33].”
The global modal parameterization for non‐linear model‐order reduction in flexible multibody dynamics (2007, methodology): “The module dedicated to flexible multibody dynamics is based on the finite element method described by Géradin and Cardona [1].”
Higher order event capturing time-stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts (2012, unknown): “In co-rotational approaches [17], the generalized coordinates are a mixture of finite rotations and displacements at the nodes of the mesh in a spatial frame (see [13] for a comprehensive discussion).”
State of the Art of ANCF Elements Regarding Geometric Description, Interpolation Strategies, Definition of Elastic Forces, Validation and the Locking Phenomenon in Comparison with Proposed Beam Finite Elements (2014, unknown): “the work of Géradin and Cardano [35].”
Convergence of the generalized-α scheme for constrained mechanical systems (2007, methodology): “Cardona and Géradin [8] have shown that numerical damping is critical to avoid numerical oscillations in the Lagrange multipliers.”