Abstract

In this paper we present the numerical analysis of the quasi-static behavior of an unbalance cracked shaft with straight and elliptical cracks considering an eccentric mass. The rotation of the shaft has been simulated by considering different angular positions to complete one rotation. The influence of the mass eccentricity in the opening of the crack has been studied considering different angles of eccentricity. The study of the partially opening/closing of the crack in the rotation of the shaft under the influence of the eccentric mass is analyzed. The work allows us to know the influence of the unbalance in the crack breathing mechanism and will help to predict the influence of this behavior on the values of the Stress Intensity Factor and on the propagation of cracks.

Highlights

  • The failures of machines are produced quite often by the presence and propagation of fatigue cracks due to the loads and solicitations they carry

  • For the case of rotating cracked shafts, the use of parameters obtained with their quasi-static behavior, such as the flexibility, the stress intensity factor or even the breathing mechanism of the crack, among others

  • It is clear that the results given here are not the dynamic results of rotating shafts, being only applicable for low rotating speeds, but as in the case of balanced cracked shafts they can give some information of the behavior of an unbalanced cracked rotating shaft to be used in preliminary studies on dynamics

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Summary

INTRODUCTION

The failures of machines are produced quite often by the presence and propagation of fatigue cracks due to the loads and solicitations they carry. L. Rubio et al / Quasi-static numerical study of the breathing mechanism of an elliptical crack in an unbalanced rotating shaft mass unbalances, very much frequent and the most common source of vibrations in shafts, can produce the shaft failure by generation and propagation of fatigue cracks. In this paper we present the quasi-static numerical study of the influence of the eccentricity in a rotating cracked shaft using a finite element model of the cracked Jeffcott rotor. No results of this kind have been found in the literature, in the knowledge of the authors. The work allows us to know the influence of the unbalance of rotating shafts in the crack breathing mechanism and allows us to predict the influence of this behavior on the values of the Stress Intensity Factor and in the propagation of elliptical cracks

FINITE ELEMENT MODEL OF A CRACKED SHAFT
Straight front crack model
Elliptical front crack model
Breathing mechanism of a crack
Calculation of the crack opening
Crack opening of a straight crack
Crack opening of an elliptical crack
Findings
CONCLUDING REMARKS
Full Text
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