The torsional stability of a cylinder subject to finite perturbations

Authors
Sporykhin, AN Sumin, VA
Citation
An. Sporykhin et Va. Sumin, The torsional stability of a cylinder subject to finite perturbations, INT AP MECH, 36(3), 2000, pp. 410-413
Citations number
8
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL APPLIED MECHANICS
ISSN journal
10637095 → ACNP
Volume
36
Issue
3
Year of publication
2000
Pages
410 - 413
Database
ISI
SICI code
1063-7095(200003)36:3<410:TTSOAC>2.0.ZU;2-V
Abstract
The problem of torsional stability of a circular cylinder made from a compr essible nonlinearly elastic material is solved for finite perturbations. In contrast to the classical theory of bifurcation, an infinite sequence of s teady states that bounds the domain of allowed initial perturbations is con structed. The applicability of the classical three-dimensional linear theor y of stability is evaluated.