Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness

Chaari, Fakher; Fakhfakh, Tahar; Haddar, Mohamed

doi:10.1016/j.euromechsol.2008.07.007

Cited by 367 publications

(200 citation statements)

References 9 publications

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“…Many scholars have a deep research [17] and they all considered that it can effectively simulate the gear bending and torsional deformation through adding auxiliary gear and torsional spring [18][19][20][21].…”

Section: Based On Adams Dynamic Model Of Gear Tooth Broken-pittingmentioning

confidence: 99%

The correlation analysis of gear tooth broken-pitting compound fault and single fault based on Laplacian Eigenmaps

Wang¹,

He²,

Du³

et al. 2018

J. vibroeng.

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Gear break and pitting are two common faults in transmission system, when these two faults coexist and form a compound fault, the damage speed and frequency of gear transmission system will be greatly increased. Taking the gear fault-pitting compound fault as the object, the dynamic model of gear single fault and compound fault is established, and the vibration characteristics of gear single fault, pitting single fault and broken tooth-pitting compound fault signal are analyzed. The characteristic manifolds of the intrinsic dimension space in the case of gear single failure and compound fault are extracted by using the Laplacian Eigenmaps algorithm, the evolution trend of single fault and compound fault in the overlapping region of the feature space, the degree of correlation and the curvature of the fault circle core are analyzed and obtained. The study found that with the deepening of the fault severity, the overlapping area of fault circle between compound fault and single fault become smaller gradually, that is, the degree of correlation become weakened, tooth broken single fault and compound fault can be identified in mid-late stage of fault, while the pitting single fault and compound fault are in the late stage. The experimental results of gearbox compound fault correlation show that the conclusion of the simulation analysis is correct and effective, which provides a new idea for the diagnosis of mechanical complex faults.

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Section: Based On Adams Dynamic Model Of Gear Tooth Broken-pittingmentioning

confidence: 99%

The correlation analysis of gear tooth broken-pitting compound fault and single fault based on Laplacian Eigenmaps

Wang¹,

He²,

Du³

et al. 2018

J. vibroeng.

View full text Add to dashboard Cite

show abstract

“…No rigorous mathematical modeling of the influence of varying loads on the gearmesh stiffness taking into account the torque-load characteristics of the driving motors was found in literature. This stiffness is time varying and is a key parameter in all gear transmissions and at the origin of the observed noise and vibrations [8][9][10]. Its variation is due to the fluctuation of the number of teeth in contact.…”

Section: Introductionmentioning

confidence: 99%

“…Starting from the positive experience expressed in cited papers [8][9][10][11][12], this paper will discuss the dynamic behavior of a spur gear transmission composed of a motor, gearbox and machine that work under time varying loading conditions. For simplicity, a single gear pair is used.…”

Section: Introductionmentioning

confidence: 99%

Gearbox Vibration Signal Amplitude and Frequency Modulation

Chaari

Bartelmus

Zimroz

et al. 2012

Shock and Vibration

Self Cite

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Abstract. Gearboxes usually run under fluctuating load conditions during service, however most of papers available in the literature describe models of gearboxes under stationary load conditions. Main task of published papers is fault modeling for their detection. Considering real situation from industry, the assumption of stationarity of load conditions cannot be longer kept. Vibration signals issued from monitoring in maintenance operations differ from mentioned models (due to load non-stationarity) and may be difficult to analyze which lead to erroneous diagnosis of the system. The objective of this paper is to study the influence of time varying load conditions on a gearbox dynamic behavior. To investigate this, a simple spur gear system without defects is modeled. It is subjected to a time varying load. The speed-torque characteristic of the driving motor is considered. The load variation induces speed variation, which causes a variation in the gearmesh stiffness period. Computer simulation shows deep amplitude modulations with sidebands that don't differ from those obtained when there is a defective tooth. In order to put in evidence the time varying load effects, Short Time Fourier Transform and then Smoothed Wigner-Ville distribution are used. Results show that the last one is well suited for the studied case.The experimental validation presented at the end of the paper confirms the obtained results. Such results offer useful information when diagnosing gear transmissions by avoiding confusing conclusions from vibration signals.

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“…However these models are typically either too simplistic in terms of how stiffness is modelled, or employ complex FEA analysis that is resource intensive. In this paper a novel accurate and yet computationally lightweight SDOF model for gear dynamics is developed on the basis of recently developed analytical and numerical models for calculating gear geometry, contact and kinematics [6][7][8][9][10][11][12][13] and mechanical response of the elastic tooth mesh, in consideration of various tooth geometries [14][15][16][17][18][19][20][21][22][23][24].The implications of the varying tooth stiffness during a mesh cycle on the overall dynamic response are studied and a correlation is made between the gear properties and the tooth stiffness distribution based on the results of numerous simulations.…”

Section: Introductionmentioning

confidence: 99%

A Lightweight Model for Gear Mesh Dynamics Incorporating Variable Mesh Stiffness

Fokas¹

2015

MATEC Web of Conferences

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Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness

Cited by 367 publications

References 9 publications

The correlation analysis of gear tooth broken-pitting compound fault and single fault based on Laplacian Eigenmaps

The correlation analysis of gear tooth broken-pitting compound fault and single fault based on Laplacian Eigenmaps

Gearbox Vibration Signal Amplitude and Frequency Modulation

A Lightweight Model for Gear Mesh Dynamics Incorporating Variable Mesh Stiffness

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