The phenomenon of steady-state string motion

Authors
Citation
R. Miroshnik, The phenomenon of steady-state string motion, J APPL MECH, 68(4), 2001, pp. 568-574
Citations number
15
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
ISSN journal
0021-8936 → ACNP
Volume
68
Issue
4
Year of publication
2001
Pages
568 - 574
Database
ISI
SICI code
0021-8936(200107)68:4<568:TPOSSM>2.0.ZU;2-Q
Abstract
The paper examines the phenomenon of steady-state motion for a string trave ling with constant velocity along an invariant curve under gravity in a vis cous medium. This technically important phenomenon has been known in the li terature for about 120 years and may be applied in high-speed turbines, the textile industry, etc. The conditions for the phenomenon's existence are f ound. Concepts of two critical string velocities as well as sub, super, and hypercritical domains are introduced. The analytical solutions for the non linear differential equations and arbitrary constants for the general bound ary conditions are found. The theoretical results are very close to the exp erimental ones.