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Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set

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TLDR
In this paper, a modified cantilever beam model is used to represent the external gear tooth and derive the analytical equations of the bending, shear and axial compressive stiffness.
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This article is published in Mechanism and Machine Theory.The article was published on 2014-06-01. It has received 248 citations till now. The article focuses on the topics: Stiffness & Time-varying mesh.

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Citations
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Journal ArticleDOI

Dynamic modeling of gearbox faults: A review

TL;DR: In this paper, a detailed literature review focuses on dynamics-based gearbox fault modeling, detection and diagnosis, focusing on the following fundamental yet key aspects: gear mesh stiffness evaluation, gearbox damage modeling and fault diagnosis techniques, and gearbox transmission path modeling and method validation.
Journal ArticleDOI

Review on dynamics of cracked gear systems

TL;DR: In this paper, a review of the literature on the dynamics of cracked gear rotor systems is presented, which mainly focuses on three topics: crack propagation prediction, time-varying mesh stiffness (TVMS) calculation and vibration response calculation.
Journal ArticleDOI

Time-varying mesh stiffness calculation of cracked spur gears

TL;DR: Considering the misalignment of gear root circle and base circle and accurate transition curve, an improved mesh stiffness model for a healthy gear pair is proposed and validated by the finite element method as mentioned in this paper.
Journal ArticleDOI

An improved analytical method for mesh stiffness calculation of spur gears with tip relief

TL;DR: In this paper, an improved analytical method (IAM) suitable for gear pairs with tip relief is established to determine time-varying mesh stiffness (TVMS), where the effects of ETC, nonlinear contact stiffness, revised fillet-foundation stiffness, and tooth profile modification are considered.
Journal ArticleDOI

Vibration signal modeling of a planetary gear set for tooth crack detection

TL;DR: In this article, a modified Hamming function is proposed to represent the effect of the transmission path of a planetary gearbox and the resultant vibration signals of the gearbox are analyzed.
References
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Book

Gear geometry and applied theory

TL;DR: In this paper, the theory, design, geometry, and manufacture of all types of gears and gear drives are discussed, including modified spur and helical gears, face-gear drives, and cycloidal pumps.
Journal ArticleDOI

Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth

TL;DR: In this paper, an analytical model is proposed to investigate the effect of gear tooth crack on the gear mesh stiffness, where both the tooth crack propagations along tooth width and crack depth are incorporated in this model to simulate gear tooth root crack, especially when it is at very early stage.
Journal ArticleDOI

Contribution of Gear Body to Tooth Deflections—A New Bidimensional Analytical Formula

TL;DR: In this paper, an improved fillet/foundation compliance analysis based on the theory of Muskhelishvili applied to circular elastic rings is presented, which can be directly integrated into gear computer codes.
Journal ArticleDOI

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

TL;DR: In this paper, an analytical formulation of the time varying gearmesh stiffness was derived and an original analytical modelling of tooth cracks was presented and the gear mesh stiffness reduction due to this fault was quantified.
Journal ArticleDOI

Simulation of spur gear dynamics and estimation of fault growth

TL;DR: In this article, the effects of tooth crack on the vibration response of a one-stage gearbox with spur gears are studied and the growth in a tooth crack is reflected in the total mesh stiffness of the gear system.
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