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Geometrically exact shells for multibody dynamics
Author(s) -
Betsch Peter
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510165
Subject(s) - discretization , nonlinear system , multibody system , integrator , equations of motion , work (physics) , mathematics , differential algebraic equation , classical mechanics , differential equation , physics , mathematical analysis , ordinary differential equation , quantum mechanics , voltage , thermodynamics
In the present work we extend the unified framework for the computational treatment of rigid bodies and nonlinear beams developed by Betsch & Steinmann [1] to the realm of nonlinear shells. In particular, a specific constrained formulation of shells is proposed which leads to the semi‐discrete equations of motion characterized by a set of differential‐algebraic equations (DAEs). The DAEs provide a uniform description for rigid bodies, semi‐discrete beams and shells and, consequently, flexible multibody systems. The DAEs are further discretized by means of an energy‐consistent mechanical integrator. The use of rotational parameters is completely circumvented throughout the whole discretization process. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)