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2000•Unpublished venueRequires access

Bifurcation behaviors of nonlinear rotor-bearing system

Yong Zhao

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Abstract

The bifurcation behaviors of rigid Jeffcott rotor are studied. The influence of viscous force is considered while establishing nondimensional oil film force. The stability of the rotor is analyzed using multi-variable Floquet theory. The diagrams of bifurcation, Poincare cross-section and Floquet multipliers are obtained. The results show that the motion of the rotor undergoes complicated nonlinear dynamics phenomena, such as period doubling bifurcation, tangent bifurcation and secondary Hopf bifurcation.

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What this paper is about

The bifurcation behaviors of rigid Jeffcott rotor are studied. The influence of viscous force is considered while establishing nondimensional oil film force. The stability of the rotor is analyzed using multi-variable Floquet theory. The diagrams of bifurcation, Poincare cross-section and Floquet multipliers are obtained. The results show that the motion of the rotor undergoes complicated nonlinear dynamics phenomena, such as period doubling bifurcation, tangent bifurcation and secondary Hopf bifurcation.

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Available abstract

The bifurcation behaviors of rigid Jeffcott rotor are studied. The influence of viscous force is considered while establishing nondimensional oil film force. The stability of the rotor is analyzed using multi-variable Floquet theory. The diagrams of bifurcation, Poincare cross-section and Floquet multipliers are obtained. The results show that the motion of the rotor undergoes complicated nonlinear dynamics phenomena, such as period doubling bifurcation, tangent bifurcation and secondary Hopf bifurcation.

Key concepts: Floquet theory, Bifurcation, Bifurcation diagram, Saddle-node bifurcation, Period-doubling bifurcation, Transcritical bifurcation, Mathematics, Rotor (electric)

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