## Mechanical integrators for constrained dynamical systems in flexible multibody dynamics

• The primary object of this work is the development of a robust, accurate and efficient time integrator for the dynamics of flexible multibody systems. Particularly a unified framework for the computational dynamics of multibody systems consisting of mass points, rigid bodies and flexible beams forming open kinematic chains or closed loop systems is developed. In addition, it aims at the presentation of (i) a focused survey of the Lagrangian and Hamiltonian formalism for dynamics, (ii) five different methods to enforce constraints with their respective relations, and (iii) three alternative ways for the temporal discretisation of the evolution equations. The relations between the different methods for the constraint enforcement in conjunction with one specific energy-momentum conserving temporal discretisation method are proved and their numerical performances are compared by means of theoretical considerations as well as with the help of numerical examples.

Author: Sigrid Leyendecker urn:nbn:de:hbz:386-kluedo-19675 Paul Steinmann Doctoral Thesis English 2006 2006 Technische Universität Kaiserslautern Technische Universität Kaiserslautern 2006/06/01 2006/07/04 computational mechanics; conserving time integration; constrained mechanical systems; flexible multibody dynamics; geometrically exact beams Fachbereich Maschinenbau und Verfahrenstechnik 6 Technik, Medizin, angewandte Wissenschaften / 62 Ingenieurwissenschaften / 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

$Rev: 13581$