Analysis of unbalance sensitive position of flexible slender shaft rotor

In this paper, the dynamic model of a slender shaft flexible rotor is established by using the finite element method. The first two natural frequencies and mode shapes of the system are solved by using the characteristic equation, and the unbalanced vibration response of the flexible rotor system is calculated by using the Newmark numerical integration method. The sub critical, critical and supercritical states of the rotor are analyzed respectively. The sensitivity of the axial position of the slender shaft to the unbalance mass is analyzed through simulation calculation.