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A nonlinear finite element framework for flexible multibody dynamics
Author(s) -
Sänger Nicolas,
Betsch Peter
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700796
Subject(s) - multibody system , nonlinear system , kinematics , finite element method , rigid body , rigid body dynamics , connection (principal bundle) , hamiltonian (control theory) , computer science , classical mechanics , control theory (sociology) , physics , mathematics , engineering , structural engineering , geometry , mathematical optimization , control (management) , quantum mechanics , artificial intelligence
We present a uniform treatment of rigid body dynamics and nonlinear structural dynamics. The advocated approach is based on a rotationless formulation of rigid bodies, nonlinear beams and shells. In this connection, the specific kinematic assumptions are taken into account by the explicit incorporation of holonomic constraints. This approach facilitates the straightforward extension to flexible multibody dynamics by including additional constraints due to the interconnection of rigid and flexible bodies. We further address the design of energy‐momentum schemes for the stable numerical integration of the underlying finite‐dimensional Hamiltonian systems. To demonstrate the superior numerical performance of the proposed methodology, the numerical examples deals with a multibody system containing both rigid and flexible bodies undergoing large deformations. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)