Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission

Chaari, Fakher; Baccar, Walid; Abbès, Mohamed Slim; Haddar, Mohamed

doi:10.1016/j.euromechsol.2007.11.005

Cited by 314 publications

(125 citation statements)

References 13 publications

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“…2. The detailed procedure to calculate mesh stiffness can be found in Reference [9,10]. Referring to Fig.…”

Section: Physical Model Of Planetary Gears With Tooth Pittingmentioning

confidence: 99%

“…Analytical methods can be a good alternative to model tooth failures. Some literature focuses on the tooth stiffness reduction due to damage by considering qualitative proportional reduction [9][10][11][12][13][14]. This research is based on the analytical method.…”

Section: Physical Model Of Planetary Gears With Damagementioning

confidence: 99%

“…To simplify the model of pitting, at each section of the tooth, the shape of pitting is approximated with straight lines according to [10], the width a, length b, the depth c and the distance to the tooth top d as shown in Fig.2 (a) …”

Section: Physical Model Of Planetary Gears With Tooth Pittingmentioning

confidence: 99%

“…The feature selection results show that only a few very features are kept and used in this study. Because there is no prior knowledge of setting the threshold, a median value is used as selection criteria, which resulted in [20,10,1] to be the threshold. As shown in Fig.6, the values of i z i s and i r for feature parameters #11, #25 and #27 are above corresponding thresholds and have been selected to be the subset features.…”

Section: Validation With Test Datamentioning

confidence: 99%

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Pitting Damage Levels Estimation for Planetary Gear Sets Based on Model Simulation and Grey Relational Analysis

Cheng

et al. 2011

Transactions of the Canadian Society for Mechanical Engineering

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The planetary gearbox is a critical mechanism in helicopter transmission systems. Tooth failures in planetary gear sets will cause great risk to helicopter operations. A gear pitting damage level estimation methodology has been devised in this paper by integrating a physical model for simulation signal generation, a three-step statistic algorithm for feature selection and damage level estimation for grey relational analysis. The proposed method was calibrated firstly with fault seeded test data and then validated with the data of other tests from a planetary gear set. The estimation results of test data coincide with the actual test records, showing the effectiveness and accuracy of the method in providing a novel way to model based methods and feature selection and weighting methods for more accurate health monitoring and condition prediction.Keywords: planetary gear sets; pitting damage; feature selection; grey relational analysis; damage level estimation. TITRE FRANÇAIS DE L'ARTICLE (MAXIMUM DEUX LIGNES) RÉSUMÉLe résumé français est obligatoire. Évidement, si l'article est rédigé en français, le titre principal et le résumé principal sont en français. Par contre, il ne faut pas traduire le texte « Received…Accession Number 0000 ».Mots-clés : premier mot-clé; deuxième mot-clé; troisième mot-clé. INTRODUCTIONThe majority of mishaps in helicopters are caused by engine and drive train failures. To reduce these mechanically induced failures and excessive maintenance, it is vital to accurately identify and diagnose developing faults in the mechanical system. Planetary gear sets are common mechanical components and are widely used to transmit power and change speed and/or direction in rotary aircrafts. One of the most common causes of planetary gear sets failure is tooth defect due to excessive stress conditions. It results in progressive damage to gear teeth and ultimately leads to the complete failure of the planetary gear sets. This fault is particularly challenging as it is located deep inside the main transmission, suggesting it would be difficult to detect earlier.

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“…2. The detailed procedure to calculate mesh stiffness can be found in Reference [9,10]. Referring to Fig.…”

Section: Physical Model Of Planetary Gears With Tooth Pittingmentioning

confidence: 99%

Section: Physical Model Of Planetary Gears With Damagementioning

confidence: 99%

Section: Physical Model Of Planetary Gears With Tooth Pittingmentioning

confidence: 99%

Section: Validation With Test Datamentioning

confidence: 99%

See 2 more Smart Citations

Pitting Damage Levels Estimation for Planetary Gear Sets Based on Model Simulation and Grey Relational Analysis

Cheng

et al. 2011

Transactions of the Canadian Society for Mechanical Engineering

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“…However, loss of tooth is reflected by a qualitative proportional reduction of tooth's stiffness, relating to its damage (Chaari et al, 2006(Chaari et al, , 2008Walha, Louati, Fakhfakh, & Haddar, 2005). TB is a common tooth fault, which is simulated by taking into account the geometric changes due to the fracture severity.…”

Section: Varying Meshing Stiffnessmentioning

confidence: 99%

Frictional effects on the dynamic responses of gear systems and the diagnostics of tooth breakages

Brethee

Ball

2016

Systems Science & Control Engineering

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To develop accurate diagnostic techniques, this study examines the dynamic responses of spur gear transmission system with including frictional effects on a tooth mesh process. An 8-degreeof-freedom model is developed to include the effects of supporting bearings, a driving motor and a loading system. Moreover, it takes into account not only the time-varying stiffness, but also the time-varying forces and moments due to the frictional effect. The latter causes additional vibration responses in the direction of the off-line-of-action (OLOA). To show the quantitative effect of the friction, vibration responses are simulated under different friction coefficients. It shows that an increase in friction coefficient value causes a nearly linear increase in the vibration features of diagnostics. However, features from torsional responses and the principal responses in the line-of-action show less changes in the vibration level, whereas the most significant increasing is in the OLOA direction. Furthermore, the spectral peaks at the rotational and sideband frequencies are influenced significantly by small breakage defects, especially when the friction effect is taken into account. In addition, the second and third harmonics of the mesh frequency are more influenced than the first harmonic component for all motions, which can be effective features for both indicating lubrication deterioration and improving conventional diagnostic features. ARTICLE HISTORY

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Dynamic characteristic of spur gear system with spalling fault considering tooth pitch error

Yang

Chen

Luo

et al. 2021

Quality & Reliability Eng

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There have been many researches focusing on the dynamic characteristics of gear faults, such as spalling, crack and broken, to improve the accuracy of fault diagnosis methods. However, the tooth pitch error caused by actual gear manufacture precision is usually neglected, which may have a direct influence on the gear vibration response. In order to settle the problem of the underlying vibration mechanism with the combined effect of pitch error and spalling fault, a dynamic modeling method of the spalling gear coupling with pitch error is proposed, in which the relationship between the gear precision level and the pitch error is considered. The changes in both meshing stiffness phase and displacement excitation on the contact line caused by pitch error are analyzed, where the additional effect of spalling fault on stiffness excitation is also taken into consideration. Base on the proposed dynamic model, the dynamic responses and vibration characteristics of spur gear with coupling excitation of pitch error and spalling fault are investigated. The simulation results show that vibration characteristics caused by the early spalling fault are easy to be affected by the pitch error, especially when the gear precision is poor.

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Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission

Cited by 314 publications

References 13 publications

Pitting Damage Levels Estimation for Planetary Gear Sets Based on Model Simulation and Grey Relational Analysis

Pitting Damage Levels Estimation for Planetary Gear Sets Based on Model Simulation and Grey Relational Analysis

Frictional effects on the dynamic responses of gear systems and the diagnostics of tooth breakages

Dynamic characteristic of spur gear system with spalling fault considering tooth pitch error

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