Dynamique et schemas d'integration pour modeles de poutres geometriquement exacts
Keywords:
nonlinear dynamics, geometrically exact beam theory, finite rotations, Newmark schemeAbstract
In this work, we examine the aspects pertinent to the theory and numerical implementation of step by step integration schemes for the nonlinear dynamic analysis of beams subjected to finite rotations. The considered model problem is the Reissner's geometrically exact 3d beam theory without any constraint on displacements and rotations. Among several possible parametrizations of rotations, we choose the material representation of the incremental rotation vector, which simplifies the construction of the associated time integration scheme. Special emphasis is directed towards the exact linearization of the equations of motion and pertinent implementation details.
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