Conservative motion of a discrete, dodecahedral gyroscope.
type: Item
instance of: scholarly article
title: Conservative motion of a discrete, dodecahedral gyroscope.
zbMATH Open document ID: 1049.70005
DOI: 10.1016/S0895-7177(01)00168-6
published in: Mathematical and Computer Modelling
publication date: 2002-08-15T00:00:00Z
review text: A discrete model of rigid body is suggested in the spirit of molecular mechanics as a dodecahedral body with mass particles on vertices. Based on this new approach, the motion of rigid body can be described by Newtonian mechanics without application of Eulerian angles, dyadics or other attitude parameters. The dynamic equations and a numerical method for their solution are presented, where the potential forces are introduced between two neighboring particles to assure the rigidity of the body. The parameter of the force is chosen to ensure that the attraction and repulsion occur over a very short period of time. Some numerical examples are given, and the trajectories of the tip of axis are illustrated for different cases.
Mathematics Subject Classification ID: 70E05
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 1781892
zbMATH Keywords: Newtonian mechanics
zbMATH Keywords: potential forces
author: Donald Greenspan
reviewed by: Yan-Zhu Liu
MaRDI profile type: Publication
cites work: Q3953228
cites work: Particle modeling
cites work: Q3886930
cites work: Q5340540
cites work: Conservative motion of a discrete, hexahedral gyroscope
full work available at URL: s0895-7177(01)00168-6
OpenAlex ID: W1983632896
description: scientific article; zbMATH DE number 1781892