Numerical Modelling of Vibration Responses of Helical Gears under Progressive Tooth Wear for Condition Monitoring

Sun, Xiuquan; Wang, Tie; Zhang, Ruiliang; Gu, Fengshou; Ball, Andrew

doi:10.3390/math9030213

Cited by 16 publications

(7 citation statements)

References 25 publications

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“…For more details, it can be referred to [10,11]. The typical results of using this model to estimate the wear depth were presented in a previous study [9]. Gear tooth thickness is one of the key parameters for calculating the gear mesh stiffness.…”

Section: Gear Wear Modellingmentioning

confidence: 99%

See 1 more Smart Citation

Investigation of Spur Gear Dynamics with Gear MeshImpacts Induced by Tooth Wear

Sun

Zhang

Wang

et al. 2022

J. Phys.: Conf. Ser.

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Tooth wear is one of the most common faults in gear transmission systems. However, due to its limited influences on gear dynamics, the condition monitoring of gear wear experiences more challenges. To investigate the relationship between tooth wear and gear dynamics, this study develops an eight-degree of freedom dynamic model which takes into account the gear mesh impact induced by tooth wear. In this model, the gear mesh impact force induced by tooth wear was calculated as an extra input excitation for the gear dynamic model. Besides, a comparative study was carried out to explore the real reason that causes the poor dynamic behaviour due to the wear from two points of view: 1) the reduction in gear mesh stiffness; 2) the increase in gear mesh impact force. The simulation results show that the wear causes a slight reduction in gear mesh stiffness, thus leading to the decrease in the amplitude of gear mesh frequency. This is not consistent with the phenomena observed in the lab experiment which shows the increase in the gear vibrations. The second simulation of impact force demonstrates that the wear causes an increase in the impact force which further leads to the increase in the amplitude of gear mesh frequency. This study investigates the cause for the deterioration in gear dynamics induced by gear wear, which can benefit the early condition monitoring and fault diagnosis of the gear tooth wear.

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Section: Gear Wear Modellingmentioning

confidence: 99%

“…The results show that the backlash was enlarged by the wear, further caused an increase in transmission error. Some researchers [8,9] have tried to simulate the gear vibration responses with tooth wear from the mesh position point of view. However, the gear mesh impact effect was not fully considered.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Spur Gear Dynamics with Gear MeshImpacts Induced by Tooth Wear

Sun

Zhang

Wang

et al. 2022

J. Phys.: Conf. Ser.

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“…By establishing the dynamic model of a spur gear system, Feng et al [21] combined the Archard wear model with the sliding velocity and contact forces from the model to calculate the wear depth of each contact point in the mesh, and quantitatively studied the influence of gear tooth surface wear on the vibration response of gearbox. To study the interaction between gear wear and dynamic response, Sun et al [22] combined the Archard wear model considering EHL effect with an eight degree-of-freedom dynamic model to proposed a numerical research method. Liu [23] established a dynamic analysis model of a single-stage planetary gear train.…”

Section: Introductionmentioning

confidence: 99%

An approach for analysing the coupling effects between dynamics and tooth surface wear in a helical gear transmission system

Shi

et al. 2023

Preprint

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An approach for analysing the coupling effects between dynamics and tooth surface wear in a helical gear transmission is proposed by integrating gear dynamics with modified Archard wear theory and the tooth time-varying meshing stiffness calculations. In this approach, the tooth time-varying meshing stiffness and dynamic backlash considering non-uniform wear are calculated and introduced into the dynamic model of a gear system to obtain the meshing force. The equivalent contact load from the meshing force using the Miner rule is brought into the wear model to predict tooth wear depths. The updated stiffness and backlash values caused by cumulative wear amount are re-submitted to the governing dynamic equation to perform a new round of calculations. Based on this analysis strategy, the coupling effects among dynamics, tooth non-uniform wear, time-varying meshing stiffness and backlash in a helical gear transmission is studied. The results indicate that the wear distributed across the tooth surface of a helical gear is non-uniform. With the increase in the cumulative amount of wear, the tooth meshing stiffness decreases and the tooth backlash converted from the accumulated wear amount is increased, which further decrease the dynamic performance of the transmission system.

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“…The gear system is an important part of mechanical equipment, which is widely used as the key component of power and motion transmission in aerospace, energy development, industrial production and other modern mechanical equipment [1][2][3]. As one of the important basic components of the gear system, gear often produces crack failures in the operation of the system due to excessive load, improper assembly or fatigue caused by long-term operation [4][5].…”

Section: Introductionmentioning

confidence: 99%

Dynamic modelling and analysis of cracked gear system with tip relief based on proposed variable-angle deformation energy integration method

et al. 2022

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Due to ignoring the effects of the change of the tooth attachment position caused by the cracks, traditional time vary mesh stiffness (TVMS) calculation models and dynamic simulations for cracked gears will lose their precision in the body crack case. To address this shortcoming, a new analytical TVMS calculation model of cracked gear considering tip relief (TR) is developed based on a proposed variable-angle deformation energy integration (VADEI) method. On this basis, a dynamic model of the gear system for the analysis of fault vibration characteristics is established. The effectiveness and accuracy of the proposed TVMS calculation model are verified by the finite element (FE) method. A comprehensive investigation is finally carried out to reveal the effects of the parameters of TR, load and crack on the TVMS and dynamic characteristics of the cracked gears. The study results indicate that the proposed models can meet the accurate TVMS calculation and dynamic simulation for both the tooth and body cracked gears, and the influences of the tooth attachment position change caused by the crack can not be ignored. This study could provide a systematic methodology and meaningful reference for the dynamic modelling, simulation and fault diagnosis of gear systems with crack failures.

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Numerical Modelling of Vibration Responses of Helical Gears under Progressive Tooth Wear for Condition Monitoring

Cited by 16 publications

References 25 publications

Investigation of Spur Gear Dynamics with Gear MeshImpacts Induced by Tooth Wear

Investigation of Spur Gear Dynamics with Gear MeshImpacts Induced by Tooth Wear

An approach for analysing the coupling effects between dynamics and tooth surface wear in a helical gear transmission system

Dynamic modelling and analysis of cracked gear system with tip relief based on proposed variable-angle deformation energy integration method

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