Detection of a fatigue crack in a rotor system using full-spectrum based estimation

Shravankumar, C.; Tiwari, Rajiv

doi:10.1007/s12046-015-0452-9

Cited by 14 publications

(10 citation statements)

References 14 publications

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“…The estimates, v i 9×1 , thus found from Equation (24), are in the complex form and they represent complex displacement at various harmonics (both in the forward and backward directions). The above estimation requires large data to be handled in the time domain, which is time consuming, so FFT-based full spectrum has been explained in the next subsection.…”

Section: Full Spectrum Based On Regression Methodsmentioning

confidence: 99%

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Archive of Mechanical Engineering

Roy

Tiwari

2019

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In the present work, a procedure for the estimation of internal damping in a cracked rotor system is described. The internal (or rotating) damping is one of the important rotor system parameters and it contributes to the instability of the system above its critical speed. A rotor with a crack during fatigue loading has rubbing action between the two crack faces, which contributes to the internal damping. Hence, internal damping estimation also can be an indicator of the presence of a crack. A cracked rotor system with an offset disc, which incorporates the rotary and translatory of inertia and gyroscopic effect of the disc is considered. The transverse crack is modeled based on the switching crack assumption, which gives multiple harmonics excitation to the rotor system. Moreover, due to the crack asymmetry, the multiple harmonic excitations leads to the forward and backward whirls in the rotor orbit. Based on equations of motions derived in the frequency domain (full spectrum), an estimation procedure is evolved to identify the internal and external damping, the additive crack stiffness and unbalance in the rotor system. Numerically, the identification procedure is tested using noisy responses and bias errors in system parameters.

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Section: Full Spectrum Based On Regression Methodsmentioning

confidence: 99%

“…2. EOMs of the rotor with the cracked shaft and offset disc considering of gyroscopic effects, however, without internal damping are given as ( [24])…”

Section: Configuration Of Rotor Model and Equations Of Motionmentioning

confidence: 99%

Archive of Mechanical Engineering

Roy

Tiwari

2019

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“…The fusion of homologous signals in two sensors placed in orthogonal positions is more conducive to extracting diagnostic information of rotating machinery [7,8], so the feature extraction method based on homologous information fusion has attracted the attention of scholars. The full spectrum [9][10][11] is one of such methods and the plot of which can not only present the interrelation of vibration data from orthogonal sensors but also provide information about the direction of precession. This information is some of the characteristics of the fault of rotating machinery, thereby, the full spectrum shows great potential in the machinery fault diagnosis [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional instantaneous orbit map for rotor-bearing system based on a novel multivariate complex variational mode decomposition algorithm

Cui,

Huang,

et al. 2021

Preprint

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Full spectrum and holospectrum are homogenous information fusion technology developed for the fault diagnosis of rotating machinery and are often used in the analysis of the orbit of rotating machinery. However, both of the techniques are based on Fourier transform, so they can only handle stationary signals, which limits their development. By drawing inspiration from the approach of multivariate variational mode decomposition (MVMD) and the complex-valued signal decomposition, we propose a method called multivariate complex variational mode decomposition (MCVMD) for processing non-stationary complex-valued signals of multi-dimensional bearing surfaces in this work. In particular, the proposed method takes the advantages of the joint information between the complex-valued signals of multi-dimensional bearing surfaces, and owing to this property, we provide its three-dimensional instantaneous orbit map (3D-IOM) to present the overall perspective of the rotor-bearing system and also offer a high-resolution time-full spectrum (Time-FS) to display the forward and backward frequency components of all the bearing surfaces within a timefrequency plane. The effectiveness of the proposed method through both the simulated experiment and the real-life complex-valued signals are shown in this paper.

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“…The dynamic analysis of cracked rotor systems has been intensively studied by many researchers [17][18][19][20][21][22][23]. Sinou, et al [17] evaluated the dynamic response of the rotor with a breathing crack by expanding the changing stiffness of the crack in a truncated Fourier series and using the Harmonic Balance Method.…”

Section: Introductionmentioning

confidence: 99%

“…The whirl orbit and the shifts in the critical and subcritical speeds were studied. Shravankumar, et al [21] utilized a full-spectrum method obtained by complex Fast Fourier transform to estimate the force and displacement coefficients for crack identification. The typical orbits and the frequency spectrum at the sub-critical speed were investigated.…”

Section: Introductionmentioning

confidence: 99%

Experimental Dynamic Analysis of a Breathing Cracked Rotor

Guo

Yan

Bergman

2017

Chin. J. Mech. Eng.

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Crack fault diagnostics plays a critical role for rotating machinery in the traditional and Industry 4.0 factory. In this paper, an experiment is set up to study the dynamic response of a rotor with a breathing crack as it passes through its 1/2, 1/3, 1/4 and 1/5 subcritical speeds. A cracked shaft is made by applying fatigue loads through a three-point bending apparatus and then placed in a rotor testbed. The vibration signals of the testbed during the coasting-up process are collected. Whirl orbit evolution at these subcritical speed zones is analyzed. The Fourier spectra obtained by FFT are used to investigate the internal frequencies corresponding to the typical orbit characteristics. The results show that the appearance of the inner loops and orientation change of whirl orbits in the experiment are agreed well with the theoretical results obtained previously. The presence of higher frequencies 2X, 3X, 4X and 5X in Fourier spectra reveals the causes of subharmonic resonances at these subcritical speed zones. The experimental investigation is more systematic and thorough than previously reported in the literature. The unique dynamic behavior of the orbits and frequency spectra are feasible features for practical crack diagnosis. This paper provides a critical technology support for the self-aware health management of rotating machinery in the Industry 4.0 factory.

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Detection of a fatigue crack in a rotor system using full-spectrum based estimation

Cited by 14 publications

References 14 publications

Archive of Mechanical Engineering

Archive of Mechanical Engineering

Three-dimensional instantaneous orbit map for rotor-bearing system based on a novel multivariate complex variational mode decomposition algorithm

Experimental Dynamic Analysis of a Breathing Cracked Rotor

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