Stability of the Jeffcott Rotor with Local Rubbing
The stability and bifurcation behavior of Jeffcott rotor with local rubbing are investigated in terms of Hartman-Grobman theorem in this paper. The case with double zero real part of eigenvalues is analyzed by means of the theory of center manifold and n-dimension Hopf bifurcation. Along with discussion for the effects of parameters on system stability and bifurcation behavior, numerical simulation of rotor locus is conducted and the stability condition is derived.
H. Li et al., "Stability of the Jeffcott Rotor with Local Rubbing", Applied Mechanics and Materials, Vols. 55-57, pp. 933-936, 2011