Stability analysis for transverse breathing cracks in rotor systems

Guo, Chaozhong; AL-Shudeifat, Mohammad A.; Yan, Jihong; Bergman, Lawrence A.; McFarland, D. Michael; Butcher, Eric A.

doi:10.1016/j.euromechsol.2013.04.001

Cited by 51 publications

(26 citation statements)

References 26 publications

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“…In [33], it can be found that, under bending fatigue stress, the shape of the crack front tends to be a straight line as the crack grows to the center of the shaft. And many researchers assumed the crack front to be straight for simplification when studying cracked rotors [3,[36][37][38]. In this paper, for convenience of the analysis, it is assumed the crack front maintains straight when the crack grows.…”

Section: Propagation Equations Of the Transverse Surface Crackmentioning

confidence: 99%

“…As shown in Figure 4, different distributions of the Floquet multipliers on the complex plane correspond to different types of bifurcations. ere are three types of bifurcations: fold (period doubling), Hopf, and flip (saddle-node), as shown in Figure 4 [29,37]. When even small damping (e.g., damping ratio ζ � 0.01) exists, the unstable region corresponding to Hopf bifurcation vanishes [37].…”

Section: Degradation Failure Criterion Of the Cracked Rotormentioning

confidence: 99%

“…ere are three types of bifurcations: fold (period doubling), Hopf, and flip (saddle-node), as shown in Figure 4 [29,37]. When even small damping (e.g., damping ratio ζ � 0.01) exists, the unstable region corresponding to Hopf bifurcation vanishes [37]. Since damping surely exists in engineering applications, only fold and flip are considered in this study.…”

Section: Degradation Failure Criterion Of the Cracked Rotormentioning

confidence: 99%

See 2 more Smart Citations

Study on Fatigue Degradation Behavior of a Cracked Rotor Subjected to Lateral Vibration

Niu

Yang

2018

Shock and Vibration

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Fatigue crack in a rotary shaft is a common failure observed in rotor systems. Since vibration of the shaft causes alternating fatigue loads, the crack propagates slowly. Meanwhile, the propagating crack may cause nonlinear or unstable vibration of the rotor system. In fact, growth of the crack and vibration of the shaft are coupled with each other. Hence, it is necessary to study the fatigue degradation behavior of the cracked rotor accounting for this coupling effect. In this paper, a coupling model of rotor vibration and crack growth is established through dynamic theory and fracture mechanics, and a sequential iterative procedure is proposed to solve the coupling model. Then, the competing degradation failure mode of the cracked rotor is analyzed with regard to the rapid crack growth failure and the unstable vibration failure. And degradation measures are proposed based on the competing degradation failure criterion. At last, degradation behaviors with the coupling effect of nonlinear vibration behavior and multiple parameters including rotation speed, unbalance eccentricity and orientation angle, and damping are investigated by numerical simulation. The results indicate that nonlinear vibration behavior and multiple parameters have considerable influence on the degradation behaviors, which present complex regularity. The findings are of significance to guide the safety design of the rotor system for long time operation and help to the further research on prognostics and lifetime prediction.

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Section: Propagation Equations Of the Transverse Surface Crackmentioning

confidence: 99%

Section: Degradation Failure Criterion Of the Cracked Rotormentioning

confidence: 99%

Section: Degradation Failure Criterion Of the Cracked Rotormentioning

confidence: 99%

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Study on Fatigue Degradation Behavior of a Cracked Rotor Subjected to Lateral Vibration

Niu

Yang

2018

Shock and Vibration

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“…A very popular approach is based on Floquet's theory and has been utilized in several papers, including the most recent by Guo et al [10] and Ricci and Pennacchi [11]. Earlier, Floquet's method was used by Huang et al [12], Gasch [13], Meng and Gasch [14], Fu and Zheng [15], and Dai and Chen [2] to calculate stability maps of cracked rotors.…”

Section: Introductionmentioning

confidence: 98%

Damping by parametric excitation in a set of reduced-order cracked rotor systems

Kulesza

Sawicki

2015

Journal of Sound and Vibration

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“…The vibration signal of a cracked rotor was investigated in Ref. [4]. New functions of the cracked rotor system proposed by Al-Shudeifat and Butcher [5] were used to study the vibration signature to detect the breathing crack.…”

Section: Introductionmentioning

confidence: 99%

Wavelet-Based Multifractal Analysis to Periodic Time Series

Chen

Zhong

Gou

et al. 2014

Journal of Computational and Nonlinear Dynamics

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Many processes are characterized by their oscillating or cyclic time behavior. This holds for rotating machines or alternating currents. The resulting signals are then periodic signals or contain periodic parts. It can be used for fault detection of rotating machines. In this paper, we studied the periodic time series of the superposition of two oscillations from the multifractal point of view. The wavelet transform modulus maxima method was used for the singularity spectrum computations. The results show that the width and the peak position of the singularity spectrum changed significantly when the amplitude, frequency, or the phase difference changed. So, the width and the peak position of the singularity spectrum can be used as a new measure for periodic signals.

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Stability analysis for transverse breathing cracks in rotor systems

Cited by 51 publications

References 26 publications

Study on Fatigue Degradation Behavior of a Cracked Rotor Subjected to Lateral Vibration

Study on Fatigue Degradation Behavior of a Cracked Rotor Subjected to Lateral Vibration

Damping by parametric excitation in a set of reduced-order cracked rotor systems

Wavelet-Based Multifractal Analysis to Periodic Time Series

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