Root Crack Identification of Sun Gear in Planetary Gear System Combining Fault Dynamics with VMD Algorithm

Planetary gearbox is widely used in various low-speed machines due to its large transmission ratio. However, the gears in a planetary gearbox are prone to the mechanical faults due to the complex dynamic heavy load. Vibration frequencies caused by an early tooth root crack of sun gear are usually di...

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Main Authors: Hongwei Fan, Yiqing Yang, Hongwei Ma, Xuhui Zhang, Xiang Wan, Xiangang Cao, Qinghua Mao, Chao Zhang, Qi Liu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2021/5561417
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author Hongwei Fan
Yiqing Yang
Hongwei Ma
Xuhui Zhang
Xiang Wan
Xiangang Cao
Qinghua Mao
Chao Zhang
Qi Liu
author_facet Hongwei Fan
Yiqing Yang
Hongwei Ma
Xuhui Zhang
Xiang Wan
Xiangang Cao
Qinghua Mao
Chao Zhang
Qi Liu
author_sort Hongwei Fan
collection DOAJ
description Planetary gearbox is widely used in various low-speed machines due to its large transmission ratio. However, the gears in a planetary gearbox are prone to the mechanical faults due to the complex dynamic heavy load. Vibration frequencies caused by an early tooth root crack of sun gear are usually difficult to accurately extract, so its fault diagnosis is one of the main challenges of planetary gearbox reliability. In this paper, a simplified tooth root crack model of sun gear is proposed, and then a rigid-flexible coupled dynamics model of the whole planetary gear system is constructed. By the numerical simulation, the fault frequencies caused by a tooth root crack of sun gear are obtained. A Variational Mode Decomposition (VMD) algorithm for the vibration frequency extraction is proposed. The measured vibration signals are decomposed into the sparse Intrinsic Mode Functions (IMFs) by the VMD, and then the IMFs are further analyzed by the spectral method to accurately extract the crack-induced frequency components. The experimental results show that the proposed dynamics model and VMD method are feasible; an error between the characteristic frequencies from the tested signal analysis and the theoretical calculation is less than 1%.
format Article
id doaj-art-1bc58fa8bb524b5f97303518b7d47bce
institution OA Journals
issn 1070-9622
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language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-1bc58fa8bb524b5f97303518b7d47bce2025-08-20T02:01:50ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/55614175561417Root Crack Identification of Sun Gear in Planetary Gear System Combining Fault Dynamics with VMD AlgorithmHongwei Fan0Yiqing Yang1Hongwei Ma2Xuhui Zhang3Xiang Wan4Xiangang Cao5Qinghua Mao6Chao Zhang7Qi Liu8School of Mechanical Engineering, Xi’an University of Science and Technology, No. 58 Yanta Road, Xi’an 710054, ChinaSchool of Mechanical Engineering, Xi’an University of Science and Technology, No. 58 Yanta Road, Xi’an 710054, ChinaSchool of Mechanical Engineering, Xi’an University of Science and Technology, No. 58 Yanta Road, Xi’an 710054, ChinaSchool of Mechanical Engineering, Xi’an University of Science and Technology, No. 58 Yanta Road, Xi’an 710054, ChinaSchool of Mechanical Engineering, Xi’an University of Science and Technology, No. 58 Yanta Road, Xi’an 710054, ChinaSchool of Mechanical Engineering, Xi’an University of Science and Technology, No. 58 Yanta Road, Xi’an 710054, ChinaSchool of Mechanical Engineering, Xi’an University of Science and Technology, No. 58 Yanta Road, Xi’an 710054, ChinaSchool of Mechanical Engineering, Xi’an University of Science and Technology, No. 58 Yanta Road, Xi’an 710054, ChinaSchool of Mechanical Engineering, Xi’an University of Science and Technology, No. 58 Yanta Road, Xi’an 710054, ChinaPlanetary gearbox is widely used in various low-speed machines due to its large transmission ratio. However, the gears in a planetary gearbox are prone to the mechanical faults due to the complex dynamic heavy load. Vibration frequencies caused by an early tooth root crack of sun gear are usually difficult to accurately extract, so its fault diagnosis is one of the main challenges of planetary gearbox reliability. In this paper, a simplified tooth root crack model of sun gear is proposed, and then a rigid-flexible coupled dynamics model of the whole planetary gear system is constructed. By the numerical simulation, the fault frequencies caused by a tooth root crack of sun gear are obtained. A Variational Mode Decomposition (VMD) algorithm for the vibration frequency extraction is proposed. The measured vibration signals are decomposed into the sparse Intrinsic Mode Functions (IMFs) by the VMD, and then the IMFs are further analyzed by the spectral method to accurately extract the crack-induced frequency components. The experimental results show that the proposed dynamics model and VMD method are feasible; an error between the characteristic frequencies from the tested signal analysis and the theoretical calculation is less than 1%.http://dx.doi.org/10.1155/2021/5561417
spellingShingle Hongwei Fan
Yiqing Yang
Hongwei Ma
Xuhui Zhang
Xiang Wan
Xiangang Cao
Qinghua Mao
Chao Zhang
Qi Liu
Root Crack Identification of Sun Gear in Planetary Gear System Combining Fault Dynamics with VMD Algorithm
Shock and Vibration
title Root Crack Identification of Sun Gear in Planetary Gear System Combining Fault Dynamics with VMD Algorithm
title_full Root Crack Identification of Sun Gear in Planetary Gear System Combining Fault Dynamics with VMD Algorithm
title_fullStr Root Crack Identification of Sun Gear in Planetary Gear System Combining Fault Dynamics with VMD Algorithm
title_full_unstemmed Root Crack Identification of Sun Gear in Planetary Gear System Combining Fault Dynamics with VMD Algorithm
title_short Root Crack Identification of Sun Gear in Planetary Gear System Combining Fault Dynamics with VMD Algorithm
title_sort root crack identification of sun gear in planetary gear system combining fault dynamics with vmd algorithm
url http://dx.doi.org/10.1155/2021/5561417
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