The discrete null space method for constrained mechanical systems in nonlinear structural and multibody dynamics |
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| Authors: | S Leyendecker P Betsch P Steinmann |
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| Institution: | 1. Chair of Applied Mechanics, University of Kaiserlautern, Germany;2. Chair of Computational Mechanics, University of Siegen, Germany |
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| Abstract: | Corresponding to d'Alemberts principle in classical mechanics, the discrete null space method developed in 1] provides an energy-momentum conserving time stepping scheme for conservative finite-dimensional dynamical systems subject to constraints. The elimination of the Lagrange multipliers from the temporal discrete system leads to a reduced number of unknowns and to an improved condition number during the iterative solution of the nonlinear system. External and internal constraints are fulfilled likewise at the time nodes, wherefore the discrete null space method is particularly suited for the treatment of elastic multibody systems in structural dynamics. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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