Dynamic Assessment of Vibration of Tooth Modification Gearbox Using Grey Bootstrap Method

The correlation analysis between gear modification and vibration characteristics of transmission system was difficult to quantify; a novel small sample vibration of gearbox prediction method based on grey system theory and bootstrap theory was presented. The method characterized vibration base featu...

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Main Authors: Hui-liang Wang, Xiao-zhong Deng, Ju-bo Li, Jian-jun Yang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2015/204609
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author Hui-liang Wang
Xiao-zhong Deng
Ju-bo Li
Jian-jun Yang
author_facet Hui-liang Wang
Xiao-zhong Deng
Ju-bo Li
Jian-jun Yang
author_sort Hui-liang Wang
collection DOAJ
description The correlation analysis between gear modification and vibration characteristics of transmission system was difficult to quantify; a novel small sample vibration of gearbox prediction method based on grey system theory and bootstrap theory was presented. The method characterized vibration base feature of tooth modification gearbox by developing dynamic uncertainty, estimated true value, and systematic error measure, and these parameters could indirectly dynamically evaluate the effect of tooth modification. The method can evaluate the vibration signal of gearbox with installation of no tooth modification gear and topological modification gear, respectively, considering that 100% reliability is the constraints condition and minimum average uncertainty is the target value. Computer simulation and experiment results showed that vibration amplitude of gearbox was decreased partly due to topological tooth modification, and each value of average dynamic uncertainty, mean true value, and systematic error measure was smaller than the no tooth modification value. The study provided an important guide for tooth modification, dynamic performance optimization.
format Article
id doaj-art-59643fa1797f41a4ae9601010b55eaa9
institution OA Journals
issn 1070-9622
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language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-59643fa1797f41a4ae9601010b55eaa92025-08-20T02:05:35ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/204609204609Dynamic Assessment of Vibration of Tooth Modification Gearbox Using Grey Bootstrap MethodHui-liang Wang0Xiao-zhong Deng1Ju-bo Li2Jian-jun Yang3School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Mechatronics Engineering, Henan University of Science and Technology, Luoyang, Henan 471003, ChinaSchool of Mechatronics Engineering, Henan University of Science and Technology, Luoyang, Henan 471003, ChinaSchool of Mechatronics Engineering, Henan University of Science and Technology, Luoyang, Henan 471003, ChinaThe correlation analysis between gear modification and vibration characteristics of transmission system was difficult to quantify; a novel small sample vibration of gearbox prediction method based on grey system theory and bootstrap theory was presented. The method characterized vibration base feature of tooth modification gearbox by developing dynamic uncertainty, estimated true value, and systematic error measure, and these parameters could indirectly dynamically evaluate the effect of tooth modification. The method can evaluate the vibration signal of gearbox with installation of no tooth modification gear and topological modification gear, respectively, considering that 100% reliability is the constraints condition and minimum average uncertainty is the target value. Computer simulation and experiment results showed that vibration amplitude of gearbox was decreased partly due to topological tooth modification, and each value of average dynamic uncertainty, mean true value, and systematic error measure was smaller than the no tooth modification value. The study provided an important guide for tooth modification, dynamic performance optimization.http://dx.doi.org/10.1155/2015/204609
spellingShingle Hui-liang Wang
Xiao-zhong Deng
Ju-bo Li
Jian-jun Yang
Dynamic Assessment of Vibration of Tooth Modification Gearbox Using Grey Bootstrap Method
Shock and Vibration
title Dynamic Assessment of Vibration of Tooth Modification Gearbox Using Grey Bootstrap Method
title_full Dynamic Assessment of Vibration of Tooth Modification Gearbox Using Grey Bootstrap Method
title_fullStr Dynamic Assessment of Vibration of Tooth Modification Gearbox Using Grey Bootstrap Method
title_full_unstemmed Dynamic Assessment of Vibration of Tooth Modification Gearbox Using Grey Bootstrap Method
title_short Dynamic Assessment of Vibration of Tooth Modification Gearbox Using Grey Bootstrap Method
title_sort dynamic assessment of vibration of tooth modification gearbox using grey bootstrap method
url http://dx.doi.org/10.1155/2015/204609
work_keys_str_mv AT huiliangwang dynamicassessmentofvibrationoftoothmodificationgearboxusinggreybootstrapmethod
AT xiaozhongdeng dynamicassessmentofvibrationoftoothmodificationgearboxusinggreybootstrapmethod
AT juboli dynamicassessmentofvibrationoftoothmodificationgearboxusinggreybootstrapmethod
AT jianjunyang dynamicassessmentofvibrationoftoothmodificationgearboxusinggreybootstrapmethod