A Method for Estimating the Condition That a Rotor Can Pass through Resonance

Abstract

About a rotor accelerated across a resonance, which possesses a linear oscillating system with a single degree of freedom, excited by an unbalanced rotating mass, it is said that by investigating the non-stationary transitions of motion of the rotor under the critical condition that the rotor can pass barely through resonance or not, it is possible to formulate the condition; and an estimating expression for passage through resonance is introduced as follows; K=πμ_Iμ_Mqρmax < 1.0 In this case, if the rotor has a circular oscillating system moving in a plane, the estimating expression is given as K=2πμ_Iμ_Mqρmax < 1.0 where ρ_max is estimated by E_q. (9). Furthermore, about a rotor having an uncoupled oscillating system with two Furthermore, about a rotor having an uncoupled oscillating system with two degrees of freedom, 2 kinds of estimating expressions are proposed, which are divided into 2 parts depending on the frequency difference between 2 resonances.