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Conditions for the existence and stability of the regime of type 0/1 for an excited unbalanced rotor
Author(s) -
Bartkowiak René
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610119
Subject(s) - rotor (electric) , motion (physics) , differential equation , stability (learning theory) , harmonic , equations of motion , excitation , type (biology) , control theory (sociology) , mathematics , physics , classical mechanics , mathematical analysis , computer science , geology , acoustics , quantum mechanics , paleontology , control (management) , machine learning , artificial intelligence
Abstract Stationary regimes of motion of an unbalanced rotor with harmonic base excitation are investigated. The equation of motion of the rotor can be transformed into integro‐differential equations for the so called slow and fast motions of these regimes using the method of direct separation of motion. The existence and stability conditions of special regimes of motion then can be derived by introducing the approximate solutions of the fast equation into the slow equation. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)