๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the dynamics of a rigid body in the hyperbolic space

โœ Scribed by Marcos Salvai

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
108 KB
Volume
36
Category
Article
ISSN
0393-0440

No coin nor oath required. For personal study only.

โœฆ Synopsis

Let H be the three-dimensional hyperbolic space and let G be the identity component of the isometry group of H . It is known that some aspects of the dynamics of a rigid body in H contrast strongly with the Euclidean case, due to the lack of a subgroup of translations in G. We present the subject in the context of homogeneous Riemannian geometry, finding the metrics on G naturally associated with extended rigid bodies in H . We concentrate on the concept of dynamical center, characterizing it in various ways.

๐Ÿ“œ SIMILAR VOLUMES

The Hess case in rigid-body dynamics
The Hess case in rigid-body dynamics
โœ A.V. Borisov; I.S. Mamayev ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 633 KB
On the dynamic response of rigid body as
On the dynamic response of rigid body assemblies
โœ R. H. Allen; I. J. Oppenheim; A. R. Parker; J. Bielak ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 825 KB

This paper examines dynamic response of a type of structural system that exhibits a significant degree of rigid body motion during earthquakes. An assembly of two-dimensional rigid prisms subjected to self-imposed kinematic constraints is chosen as a representative model for this type of structure.