A NECESSARY CONDITION FOR CHAOS IN ROTOR SYSTEM

Authors
CVETICANIN L
Citation
L. Cveticanin, A NECESSARY CONDITION FOR CHAOS IN ROTOR SYSTEM, Mechanism and machine theory, 32(3), 1997, pp. 411-416
Citations number
8
Categorie Soggetti
Engineering, Mechanical
Journal title
Mechanism and machine theory → ACNP
ISSN journal
0094114X
Volume
32
Issue
3
Year of publication
1997
Pages
411 - 416
Database
ISI
SICI code
0094-114X(1997)32:3<411:ANCFCI>2.0.ZU;2-9
Abstract
A necessary condition for chaos in a rotor system with two-degrees-of- freedom is developed. The procedure is based on the well-known Melniko v method. The conditions for existence of the homoclinic orbit are obt ained. The energy description of the Melnikov function is given. The t heoretical results are compared with a numerical one. An example of th e rotor on which the damping and hydrodynamic forces act is considered . (C) 1997 Elsevier Science Ltd.