๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Conservation of angular momentum and energy in the integration of non-linear dynamic equations

โœ Scribed by L. Briseghella; C.E. Majorana; C. Pellegrino

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
438 KB
Volume
179
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

โœฆ Synopsis

The analysis and implementation of a step-by-step algorithm conceived to preserve scalar invariants of motion (i.e. angular momentum and energy) of a rigid body in the integration of non-linear dynamic equations is presented here. The considered rigid body is subjected to generic translational and rotational motions with large displacements and ยฎnite rotations. The algorithm is implemented in a new ecient C++ f.e.m. code which allows an easy performance of several numerical applications.

๐Ÿ“œ SIMILAR VOLUMES

Symplectic integrators and the conservat
Symplectic integrators and the conservation of angular momentum
โœ Mei-Qing Zhang; Robert D. Skeel ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 286 KB

In this article we observe that generally symplectic integrators conserve angular momentum exactly, whereas nonsymplectic integrators do not. We show that this observation extends to multiple timesteps and to constrained dynamics. Both of these devices are important for efficient molecular dynamics

On non-linear dynamics of shells: implem
On non-linear dynamics of shells: implementation of energy-momentum conserving algorithm for a finite rotation shell model
โœ Boลกtjan Brank; Lamberto Briseghella; Nicola Tonello; Frano B. Damjaniฤ‡ ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 759 KB

Continuum and numerical formulations for non-linear dynamics of thin shells are presented in this work. An elastodynamic shell model is developed from the three-dimensional continuum by employing standard assumptions of the รฟrst-order shear-deformation theories. Motion of the shell-director is descr