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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Main Authors: Youmin Hu, Jikai Fan, Jin Yu
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2016/6928686
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author Youmin Hu
Jikai Fan
Jin Yu
author_facet Youmin Hu
Jikai Fan
Jin Yu
author_sort Youmin Hu
collection DOAJ
description 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.
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spelling doaj-art-76ee5b7f829048c9ba6867bd7bd13e162025-08-20T02:07:35ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/69286866928686Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh StiffnessYoumin Hu0Jikai Fan1Jin Yu2State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaState Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaState Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaCracks 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.http://dx.doi.org/10.1155/2016/6928686
spellingShingle Youmin Hu
Jikai Fan
Jin Yu
Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh Stiffness
Shock and Vibration
title Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh Stiffness
title_full Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh Stiffness
title_fullStr Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh Stiffness
title_full_unstemmed Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh Stiffness
title_short Study of the Influences of Transient Crack Propagation in a Pinion on Time-Varying Mesh Stiffness
title_sort study of the influences of transient crack propagation in a pinion on time varying mesh stiffness
url http://dx.doi.org/10.1155/2016/6928686
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AT jikaifan studyoftheinfluencesoftransientcrackpropagationinapinionontimevaryingmeshstiffness
AT jinyu studyoftheinfluencesoftransientcrackpropagationinapinionontimevaryingmeshstiffness