Abstract
In this paper, we considered a dual-rotor system with crack in shaft. The influence of circular crack in hollow shaft on dynamical response was studied. The equations of motion of 12 elements dual-rotor system model were derived. Harmonic balance method was employed to solve the equations. The critical speed and sub-critical speed responses were investigated. It was found that the circular crack in hollow shaft had greater influence on the first-backward critical speed than the first-forward critical speed. Owing to the influence of crack, the vibration peaks occurred at the 1/2, 1/3 and 1/4 critical speeds of the rotor system, along with a reduction in sub-critical speeds and critical speeds. The deeper crack away from the bearing affected the rotor more significantly. The whirling orbits, the time-domain responses and the spectra were obtained to show the super-harmonic resonance phenomenon in hollow-shaft cracked rotor system.
Highlights
IntroductionRotating machines represent the maximal and most important class of machinery used for fluid media transportation, metal working and forming, energy generation, providing aircraft propulsion and other purposes.[1,2,3] High speed and heavy power are the development directions of modern rotating machineries.[4,5,6] In the past decades, there are a lot of literatures that focus on the study of unbalance,[7] clearance,[8] base motions,[9] damping ratio identification,[10] rubbing[11,12,13] and viscoelastic properties of rotor system
The process of solving the stiffness matrix of the crack element is given in detail, and the dynamic characteristics of the rotor system with breathing crack or open crack are solved, respectively
A hollow-shaft rotor system with circular cracks is studied in this paper
Summary
Rotating machines represent the maximal and most important class of machinery used for fluid media transportation, metal working and forming, energy generation, providing aircraft propulsion and other purposes.[1,2,3] High speed and heavy power are the development directions of modern rotating machineries.[4,5,6] In the past decades, there are a lot of literatures that focus on the study of unbalance,[7] clearance,[8] base motions,[9] damping ratio identification,[10] rubbing[11,12,13] and viscoelastic properties of rotor system. The process of solving the stiffness matrix of the crack element is given in detail, and the dynamic characteristics of the rotor system with breathing crack or open crack are solved, respectively. These dynamic phenomena are verified by experiments. The cracked element stiffness matrix in the rotating x– and y– axes can be written in a form similar to that of the asymmetric rod in space in Pilkey.[37] In the circular crack model, crack propagation appears as it increases in depth and crack angle, but h and h are relatively independent parameters. By substituting equation (12) into equation (11), it is obtained that
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