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Analysis of nonlinear dynamics to an elastic rotor—bearing system

WU Xiaolin

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Abstract

In allusion to the characteristics of a nonlinear elastic rotor_bearing system,the shooting is used to the periodic responses of a elastic rotor system using short bearing model.It is based on rotor dynamics and nonlinear dynamics theory with the Poincare maps and numerical integral method,which analyses change of stability to its dynamic peculiarity along with the changing of some parameters in this paper.The result of calculation showed that may undergo the double period bifurcation and quasi periodic motions.In some typical parameter regions the bifurcation diagrams of the system are acquired with numerical integral method.Some motion state of the system are demonstrated.

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What this paper is about

In allusion to the characteristics of a nonlinear elastic rotor_bearing system,the shooting is used to the periodic responses of a elastic rotor system using short bearing model.It is based on rotor dynamics and nonlinear dynamics theory with the Poincare maps and numerical integral method,which analyses change of stability to its dynamic peculiarity along with the changing of some parameters in this paper.The result of calculation showed that may undergo the double period bifurcation and quasi periodic motions.In some typical parameter regions the bifurcation diagrams of the system are acquired with numerical integral method.Some motion state of the system are demonstrated.

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Available abstract

In allusion to the characteristics of a nonlinear elastic rotor_bearing system,the shooting is used to the periodic responses of a elastic rotor system using short bearing model.It is based on rotor dynamics and nonlinear dynamics theory with the Poincare maps and numerical integral method,which analyses change of stability to its dynamic peculiarity along with the changing of some parameters in this paper.The result of calculation showed that may undergo the double period bifurcation and quasi periodic motions.In some typical parameter regions the bifurcation diagrams of the system are acquired with numerical integral method.Some motion state of the system are demonstrated.

Key concepts: Bifurcation, Nonlinear system, Helicopter rotor, Rotor (electric), Bearing (navigation), Dynamics (music), Stability (learning theory), Control theory (sociology)

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