Abstract

In this paper the design of experiment method is used to investigate and explain the effects of the rotor parameters on crack breathing and propagation in the shaft. Three factors are considered which have an influence on the behavior and the propagation of the crack: the rotational speed, the length of the rotor and the diameter of the shaft. The elaborated mathematical model allows determining the effects and interaction of speed, diameter and length on crack breathing mechanism.The model also determines the optimal values of the parameters to achieve high performance.

Highlights

  • Fatigue cracks are an important form of rotor damage which can lead to catastrophic failures, production loses as well as casualties unless detected early

  • It is assumed that the crack is linear with a depth less than the diameter of the shaft[1]

  • For an uncracked section the loads applied to the shaft lead to an ant symmetric stress field distribution with respect to neutral axis

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Summary

Introduction

Fatigue cracks are an important form of rotor damage which can lead to catastrophic failures, production loses as well as casualties unless detected early They can have detrimental effects on the reliability of rotating shafts. When the shaft rotates the cracked part periodically goes from the stressed zones in lower position to the compressed zones in upper position According to the crack angular position it is closed in compression, opened in traction or in an intermediate position partially opened These two latter cases lead to local stress distribution very different from those of the uncracked section. The first models which still in use for exploring the dynamic response of cracked rotors assume that the crack always remains open during the rotation of the structure.

Design of Experiments
Factorial plan
Optimization of Cracked Rotor by DOE
Parameters definition and levels
Parameters coding
Study domain
Factors effects and interaction
Analysis of the single factor effect
Speed and diameter interaction
Speed and length interaction
Diameter and length interaction
Estimation on the variance
Tests of the significance of the effects
Conclusion
Full Text
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