Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh Stiffness

Cracks in a cracked gear may further propagate by a tiny length in a very short time for several reasons, such as material fatigue and load fluctuations. In this paper, this dynamic process is defined as transient propagation of cracks. This research aims to calculate the time-varying mesh stiffness...

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Published inShock and vibration Vol. 2016; no. 2016; pp. 1 - 13
Main Authors Hu, Youmin, Yu, Jin, Fan, Jikai
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2016
John Wiley & Sons, Inc
Hindawi Limited
Wiley
Subjects
Alloys
Crack propagation
Deterioration
Elasticity
Fatigue cracks
Finite element method
Gearing
Gears
Mathematical models
Measurement
Mechanical properties
Methods
Potential energy
Stiffness
Studies
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Abstract Cracks in a cracked gear may further propagate by a tiny length in a very short time for several reasons, such as material fatigue and load fluctuations. In this paper, this dynamic process is defined as transient propagation of cracks. This research aims to calculate the time-varying mesh stiffness of gears when transient propagation of cracks arises, which has not been extensively studied in existing literatures. The transient propagation of cracks is modelled. An improved potential energy method is proposed by incorporating the propagation model into the potential energy method. The improved method can also be utilised to calculate the mesh stiffness of gears when transient propagation of cracks arises. Different transient propagation models are considered to simulate the propagation of cracks in a short amount of time. Different deterioration levels of cracks before transient propagation and different lengths and models of transient propagation are also examined. The variation rules of mesh stiffness caused by the transient propagation of cracks are summarised. The influence of the deterioration level of cracks on mesh stiffness variation when transient propagation arises is obtained. Simulation results show that the proposed method accurately calculates time-varying mesh stiffness when transient propagation of cracks arises. Furthermore, the method improves the monitoring of further propagation of cracks in gears from the perspective of time-varying mesh stiffness.
AbstractList Cracks in a cracked gear may further propagate by a tiny length in a very short time for several reasons, such as material fatigue and load fluctuations. In this paper, this dynamic process is defined as transient propagation of cracks. This research aims to calculate the time-varying mesh stiffness of gears when transient propagation of cracks arises, which has not been extensively studied in existing literatures. The transient propagation of cracks is modelled. An improved potential energy method is proposed by incorporating the propagation model into the potential energy method. The improved method can also be utilised to calculate the mesh stiffness of gears when transient propagation of cracks arises. Different transient propagation models are considered to simulate the propagation of cracks in a short amount of time. Different deterioration levels of cracks before transient propagation and different lengths and models of transient propagation are also examined. The variation rules of mesh stiffness caused by the transient propagation of cracks are summarised. The influence of the deterioration level of cracks on mesh stiffness variation when transient propagation arises is obtained. Simulation results show that the proposed method accurately calculates time-varying mesh stiffness when transient propagation of cracks arises. Furthermore, the method improves the monitoring of further propagation of cracks in gears from the perspective of time-varying mesh stiffness.
Audience Academic
Author Hu, Youmin
Fan, Jikai
Yu, Jin
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10.1016/j.engfailanal.2016.05.006
10.1016/j.engfailanal.2012.08.015
10.1007/s11668-010-9395-y
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ContentType Journal Article
Copyright Copyright © 2016 Youmin Hu et al.
COPYRIGHT 2016 John Wiley & Sons, Inc.
Copyright © 2016 Youmin Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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SubjectTerms Alloys
Crack propagation
Deterioration
Elasticity
Fatigue cracks
Finite element method
Gearing
Gears
Mathematical models
Measurement
Mechanical properties
Methods
Potential energy
Stiffness
Studies
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Title Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh Stiffness
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