The equations of motion of a non-holonomic system with a non-retaining constraint
type: Item
instance of: scholarly article
title: The equations of motion of a non-holonomic system with a non-retaining constraint
zbMATH Open document ID: 0614.70013
DOI: 10.1016/0021-8928(85)90069-3
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The regularity of the equations of motion of a system with a perfect non- retaining constraint \(q_ 1\geq 0\) and with differential constraints is demonstrated. As regards the latter it is assumed that they are imposed either on all motions of the system or only on those for which \(q_ 1=0\). The effect of impacts on the stability of permanent rotation of a heavy solid about its axis of symmetry above an absolutely rough surface is investigated. It is shown that the stability of rotation of a solid on the surface can be destabilized by tearing away to an arbitrary height, as small as desired.
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 70F99
Mathematics Subject Classification ID: 70E15
zbMATH DE Number: 3995111
zbMATH Keywords: Boltzmann-Hamel equation
zbMATH Keywords: regularity of the equations of motion
zbMATH Keywords: system with a perfect non-retaining constraint
zbMATH Keywords: differential constraints
zbMATH Keywords: stability of permanent rotation
zbMATH Keywords: heavy solid
author: A. P. Ivanov
MaRDI profile type: Publication
full work available at URL: 0021-8928(85)90069-3
OpenAlex ID: W2050512400
cites work: On the stability of systems with non-retaining constraints
cites work: Q5558515
description: scientific article; zbMATH DE number 3995111