A Nonlinear Finite Element Framework for Flexible Multibody Dynamics: Rotationless Formulation and Energy-Momentum Conserving Discretization

Part of the Computational Methods in Applied Sciences book series (COMPUTMETHODS, volume 12)

A uniform framework for rigid body dynamics and nonlinear structural dynamics is presented. The advocated approach is based on a rotationless formu lation of rigid bodies, nonlinear beams and shells. In this connection, the specific kinematic assumptions are taken into account by the explicit incorporation of holo-nomic 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 mechanical systems.


Multibody System Multibody Dynamics Holonomic Constraint Flexible Multibody System Spherical Pendulum 
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© Springer Science + Business Media B.V 2009

Authors and Affiliations

  1. 1.Chair of Computational MechanicsUniversity of SiegenSiegenGermany

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