The discrete null space method for the energy-consistent integration of constrained mechanical systems. Part III: Flexible multibody dynamics

Leyendecker, S., Betsch, P. and Steinmann, P. (2008) The discrete null space method for the energy-consistent integration of constrained mechanical systems. Part III: Flexible multibody dynamics. Multibody System Dynamics, 19(1-2), pp. 45-72. (doi: 10.1007/s11044-007-9056-4)

Full text not currently available from Enlighten.

Abstract

In the present work, the unified framework for the computational treatment of rigid bodies and nonlinear beams developed by Betsch and Steinmann (Multibody Syst. Dyn. 8, 367-391, 2002) is extended 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 constraints may be divided into two classes: (i) internal constraints which are intimately connected with the assumption of rigidity of the bodies, and (ii) external constraints related to the presence of joints in a multibody framework. The present approach thus circumvents the use of rotational variables throughout the whole time discretization, facilitating the design of energy-momentum methods for flexible multibody dynamics. After the discretization has been completed a size-reduction of the discrete system is performed by eliminating the constraint forces. Numerical examples dealing with a spatial slider-crank mechanism and with intersecting shells illustrate the performance of the proposed method.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Leyendecker, S., Betsch, P., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Multibody System Dynamics
Publisher:Springer
ISSN:1384-5640
ISSN (Online):1573-272X
Related URLs:

University Staff: Request a correction | Enlighten Editors: Update this record