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Bifurcation of a Shaft under Magnetic Load
Author(s) -
Kurnik W.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20000801432
Subject(s) - instability , bifurcation , mechanics , flutter , physics , nonlinear system , vibration , deflection (physics) , control theory (sociology) , classical mechanics , critical speed , computer science , acoustics , aerodynamics , control (management) , quantum mechanics , artificial intelligence
The aim of the paper is to examine interaction between two different instability effects in flexible shafts ‐ rotation in presence of material friction and transverse force of magnetic nature. Such problems arise for instance in multipole induction electric motors and in active vibration control of high‐speed shafts utilising magnetic actuation. A simple magnetomechanical model of the rotor displaying both divergence and flutter instability effects is assumed treating two‐sided magnetic actuators as sources of deflection‐dependent generally nonlinear force of possibly positive or negative sign. The stability region of the trivial equilibrium as well as the near‐critical limit cycles are studied to explain the interaction of both instability effects and the role of the magnetic load.