Nonlinear Dynamics Analysis of a Gear-Shaft-Bearing System with
Breathing Crack and Tooth Wear Faults

Cui, Li

doi:10.2174/1874155x01509010483

Cited by 12 publications

(4 citation statements)

References 16 publications

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“…The fault characteristics were verified through experiments. Cui et al [19] considered tooth backlash, time-varying meshing stiffness, and bearing radial clearance and established a nonlinear dynamic model of a gear-bearing flexible shaft system considering internal breathing cracks and gear tooth wear. The effects of tooth backlash, shaft cracks, and gear tooth wear on the nonlinear dynamic behavior of the gear-bearing system were studied.…”

Section: Introductionmentioning

confidence: 99%

Study on the Vibration Characteristics of the Helical Gear-Rotor-Bearing Coupling System of a Wind Turbine with Composite Faults

Zhang,

Li,

Sun

2024

Mathematics

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As the core component of the wind turbine generation gearbox, the gear-rotor-bearing transmission system typically operates in harsh environments, inevitably leading to the occurrence of composite faults in the system, which exacerbates system vibration. Therefore, it is necessary to study the vibration characteristics of wind turbine helical gear-rotor-bearing transmission systems with composite faults. This paper uses an improved energy method to calculate the theoretical time-varying mesh stiffness of a helical gear with a root crack failure. On the premise of considering the time-varying meshing stiffness of the faulty helical gear, the gear eccentric fault, and the nonlinear support force of the faulty bearing, a multi-degree-of-freedom helical gear-rotor-bearing transmission system with compound faults was established by using the lumped parameter method. The dynamic model of the system was solved based on the Runge–Kutta method, and the vibration response of the system under healthy conditions, single faults with gear eccentricity, single faults with tooth root cracks, and coupled bearing composite faults were simulated and analyzed. The results show that the simulation results based on KISSsoft software 2018 version verify the effectiveness of the improved energy method; the existence of single faults and composite faults will cause the fault characteristics in the time domain and frequency domain responses. In this paper, the influence of a single fault and a complex fault on the time domain and frequency domain of the system is mainly discovered through the fault study of the helical rotor-bearing system, and the influence of the fault degree on the vibration of the gear motion system is discussed. The greater the degree of the fault, the more vibration of the system occurs; accordingly, when the system is under the coupling of tooth root crack and bearing fault, there is a significant difference compared with the healthy system and the single fault system. The system vibration has obvious time domain and frequency domain signal characteristics, including periodic pulse impacts caused by gear faults and time domain impact caused by bearing. The fault characteristic frequencies can also be found in the frequency domain. In this paper, the fault study of a helical gear of wind turbine generation provides a reference for the theoretical analysis of the vibration characteristics of the helical gear-rotor-bearing system under various fault conditions, lays a solid foundation for the simulation and subsequent diagnosis of the composite fault signal of the system, and provides help for the fault diagnosis of wind turbine gearboxes in the future.

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Section: Introductionmentioning

confidence: 99%

Study on the Vibration Characteristics of the Helical Gear-Rotor-Bearing Coupling System of a Wind Turbine with Composite Faults

Zhang,

Li,

Sun

2024

Mathematics

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“…In Darpe (2007) and Al-Shudeifat and Butcher (2011), the flexibility matrix method was utilized for modeling the stiffness of the cracked rotor with breathing crack. Taking breathing crack in shaft and tooth wear into account, Han et al (Cui and Cai, 2015) established a nonlinear dynamic model of gear bearing flexible shaft system. Meantime, the dynamic analysis of a gear system with a breathing slant crack was performed in (Han et al , 2012), and the effects of position, crack depth and type (transverse or slant) on the system dynamic behaviors were considered in the discussion.…”

Section: Introductionmentioning

confidence: 99%

Modeling and dynamics simulation of spur gear system incorporating the effect of lubrication condition and input shaft crack

Wang

Yao

Hassan

et al. 2021

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PurposeThe paper is devoted to presenting a systematic investigation on the mechanical model and nonlinear dynamic characteristics of spur gear system with and without input shaft crack.Design/methodology/approachConsidering the backlash, load-distribution, time-varying meshing stiffness and sliding friction, the modelling of a 5DOF gear system is proposed. Likewise, stiffness and damping models under elastohydrodynamic lubrication are developed, and sliding friction between gear pair is also outlined. In particular, a cracked input shaft which affects the support stiffness is presented, and breathing crack in keyway is adopted. On this basis, the dynamic responses of a gear system with and without input shaft crack are examined using numerical method, and some classical response diagrams are given, illustrating the effect of the important parameters on the gear system.FindingsDynamic simulation demonstrates that there exist periodic, quasi-periodic and chaotic motions in the gear system, and rational speed of the gear pair has noteworthy effects on vibration characteristic. Besides, comparison between healthy and cracked condition of input shaft indicates that occurring of crack convert periodic motion to quasi-periodic or chaotic motion.Originality/valueThe results give an understanding of the operating conditions under which undesirable dynamic behavior occurs, and provide some useful information to design and diagnose such gear system with crack fault.

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“…10 studied the vibrations of a gear pair with cracks and later analysed the influence of a profile modification on the vibrations of the system. Cui and Cai 11 considered the factor of a shaft crack when studying a gear system. He found that the appearance of a crack fault can increase the chaos motion region and result in instantaneous tooth separation and double-sided impact faults that indirectly intensify tooth wear.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic characteristics analysis and chaos control of a gear transmission system in a shearer under temperature effects

Chen

Xin

Sheng

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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Due to changes in the working temperature in a shearer transmission system, it is easy to cause the transmission gear to work abnormally. In this paper, the first gear pair in a cutting transmission system of a permanent magnet semi-direct drive shearer was taken as the research object. The coupling effect of time-varying meshing stiffness, meshing damping, bearing clearance and gear backlash under thermal deformation were fully considered. Then, a three degree of freedom nonlinear dynamic model of the gear pair was established, and a dimensionless analysis was performed. Finally, the Runge-Kutta method was used in the numerical calculations. The motion characteristics of the system were analysed through the gear’s bifurcation diagram of the temperature at different frequencies and the bifurcation diagram of the frequency at different temperatures. The meshing state was analysed at different frequencies and temperatures. For the chaotic motion generated in the system, a periodic resonance excitation was applied to control unstable motion. This study has revealed various specific effects of the temperature on the dynamic characteristics of the system. In addition, the periodic excitation method can effectively control the nonlinear motion in the system and realise the control of the chaos under the temperature effect.

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Nonlinear Dynamics Analysis of a Gear-Shaft-Bearing System with Breathing Crack and Tooth Wear Faults

Cited by 12 publications

References 16 publications

Study on the Vibration Characteristics of the Helical Gear-Rotor-Bearing Coupling System of a Wind Turbine with Composite Faults

Study on the Vibration Characteristics of the Helical Gear-Rotor-Bearing Coupling System of a Wind Turbine with Composite Faults

Modeling and dynamics simulation of spur gear system incorporating the effect of lubrication condition and input shaft crack

Nonlinear dynamic characteristics analysis and chaos control of a gear transmission system in a shearer under temperature effects

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