Nonlinear vibration analysis of a cracked rotor-ball bearing system during flight maneuvers

Hou, Lei; Chen, Yushu; Cao, Qingjie; Lu, Zhenyong

doi:10.1016/j.mechmachtheory.2016.07.024

Cited by 38 publications

(15 citation statements)

References 41 publications

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“…Substituting equations (7), (10), (11), (12) and (13) into equation 6, the relationship between F a and x can be derived as…”

Section: Irmentioning

confidence: 99%

“…The stiffness kðb; xÞ affected by geometric parameters is one of the key factors that influence the positioning precision of matched bearings. According to equations (7), (8), (10), (11) and 18, these geometric parameters include deformation d P , ball diameter D, initial contact angle a O and curvature radiuses r of races. Equation (38) can be rewritten as…”

Section: Statistical Moments Of Dynamic Responsementioning

confidence: 99%

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Dynamic reliability analysis of angular contact ball bearings in positioning precision

Zhang

2020

Proceedings of the Institution of Mechanical Engineers, Part O:

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Bearings are the core components in various kinds of rotating machineries. With the increasing demand of reliable bearings in precision equipment, it is of great significance to analyze the motion error of bearings. In this article, a nonlinear dynamic model of angular contact ball bearings installed in pairs is constructed to describe its response characteristics. The definition of a failure mode in matched bearings is that the dynamic response of each inner race is larger than the allowed axial runout. This article introduces a feasible approach to evaluate the reliability of positioning precision of matched bearings with random geometric parameters. The statistical moments of dynamic response are calculated using stochastic perturbation method. The probability distribution function of state function relating to positioning precision is approached by Edgeworth series, from which the reliability and sensitivity are obtained. A pair of 7206B bearings is taken as an application instance of the proposed method. Monte Carlo simulation is employed to provide a benchmark on which to verify the precision and efficiency of the proposed method. In addition, the effects of mean values and variances of random geometric parameters on the positioning precision are analyzed, respectively.

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“…Substituting equations (7), (10), (11), (12) and (13) into equation 6, the relationship between F a and x can be derived as…”

Section: Irmentioning

confidence: 99%

Section: Statistical Moments Of Dynamic Responsementioning

confidence: 99%

Dynamic reliability analysis of angular contact ball bearings in positioning precision

Zhang

2020

Proceedings of the Institution of Mechanical Engineers, Part O:

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“…Variational mode decomposition (VMD) is a new adaptive signal decomposition method, which has a solid theoretical foundation and can solve the problem of mode mixing in EMD, but there are parameter optimization problems in VMD [15]. However, due to the complex mechanism of the fault of rotating machinery, as well as the vibration signal being often nonlinear, the vibration signals in different directions may represent different fault characteristic information [16]. Through single-channel signal feature extraction and fault diagnosis, it often leads to misjudgment and omission [17,18].…”

Section: Bemdmentioning

confidence: 99%

Coupling Fault Feature Extraction Method Based on Bivariate Empirical Mode Decomposition and Full Spectrum for Rotating Machinery

Jia

Wang

et al. 2018

Mathematical Problems in Engineering

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To accurately extract the fault characteristics of vibration signals of rotating machinery is of great significance to the unit online monitoring and evaluation. However, because the current feature extraction methods are mainly for single channel, the results of feature extraction are often inaccurate. To this end, a coupling fault feature extraction method based on bivariate empirical mode decomposition (BEMD) and full spectrum is proposed for rotating machinery. Firstly, the two-dimensional orthogonal signal obtained by orthogonal sampling technique is decomposed by bivariate empirical mode decomposition to obtain the intrinsic mode function with phase information. In order to obtain the sensitive modal components, the sensitivity coefficients are constructed on the basis of mutual information. Then, the sensitivity coefficient of each intrinsic mode function is calculated, and the intrinsic mode function with the larger sensitive coefficient is selected as the sensitive component. Finally, the full spectrum of the sensitive component is obtained using the full vector envelope technique, so as to get a comprehensive and accurate characteristic component. The results of simulations experiment and an application example show that this method can extract the fault characteristic component of the rotating machinery comprehensively and accurately. It is of great significance to realize the accurate diagnosis of coupling faults of rotating machinery.

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“…A nonlinear restoring force and the rotor weight are considered in the system model [13]. Lei et al focused on the nonlinear responses of a cracked rotor-ball bearing system caused by aircraft flight maneuvers [14]. Saeed and El-Ganaini deal with the vibration analysis of a Jeffcott-rotor system under various supports.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics of Marine Rotor System Coupled with Air Bag-Floating Raft Subjected to the Basement Excitations in Lateral Directions

Liu

2020

Shock and Vibration

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This paper presents an investigation into the nonlinear dynamic behaviors of the mechanical isolation system coupled with air-bag and floating-raft subject to basement excitation in lateral directions. First, the coupling effects between the excitation source and isolation system are considered. Also, the mechanical isolation model under basic excitation and its motion equation are deduced, and then the dynamic responses are mainly investigated by using the techniques of displacement response, frequency spectrum, rotor orbit, Poincaré maps, and the bifurcation diagram. Last, the bifurcations of the mechanical isolation system with different parameters are analyzed through numerical methods, especially the effect of excitation frequency and amplitude. The result predicts that period-5 is mainly performed, with the increase of rotor speed, and the system moves into quasi-bifurcation. However, the system stays in chaos state at high rotor speed, and the vibration amplitude rises rapidly until against bearing bush. Furthermore, the effects of basement excitation on the mechanical isolation system are mainly concentrated on the stage of lower rotor speed, but with the increasing speed, the effects become weak and at the same time the vibration amplitude reduces significantly. The points projected on the Poincaré section are five, three, or two solitary attractors, in which the system stays in periodic motion. Above all, the dynamic characteristics can provide the theoretic supporting for the dynamic, vibration control and its parametric optimization of the marine mechanical isolation system coupled with air-bag and floating-raft.

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Nonlinear vibration analysis of a cracked rotor-ball bearing system during flight maneuvers

Cited by 38 publications

References 41 publications

Dynamic reliability analysis of angular contact ball bearings in positioning precision

Dynamic reliability analysis of angular contact ball bearings in positioning precision

Coupling Fault Feature Extraction Method Based on Bivariate Empirical Mode Decomposition and Full Spectrum for Rotating Machinery

Nonlinear Dynamics of Marine Rotor System Coupled with Air Bag-Floating Raft Subjected to the Basement Excitations in Lateral Directions

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