Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors

In this study, based on the lumped-parameter theory and the Lagrange approach, a novel and generalized bending-torsional-axial coupled dynamic model for analyzing the load sharing behavior in the herringbone planetary gear train (HPGT) is presented by taking into account the actual structure of herr...

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Main Authors: Fei Ren, Jinchen Ji, Guofu Luo, Shaofu Zhao, Liya Zhao, Guiqin Shi, Xiaoling Wu, Ning Wang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2021/5511817
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author Fei Ren
Jinchen Ji
Guofu Luo
Shaofu Zhao
Liya Zhao
Guiqin Shi
Xiaoling Wu
Ning Wang
author_facet Fei Ren
Jinchen Ji
Guofu Luo
Shaofu Zhao
Liya Zhao
Guiqin Shi
Xiaoling Wu
Ning Wang
author_sort Fei Ren
collection DOAJ
description In this study, based on the lumped-parameter theory and the Lagrange approach, a novel and generalized bending-torsional-axial coupled dynamic model for analyzing the load sharing behavior in the herringbone planetary gear train (HPGT) is presented by taking into account the actual structure of herringbone gears, manufacturing errors, time-dependent meshing stiffness, bearing deflections, and gyroscopic effects. The model can be applied to the analysis of the vibration of the HPGT with any number of planets and different types of manufacturing errors in different floating forms. The HPGT equivalent meshing error is analyzed and derived for the tooth profile errors and manufacturing eccentric errors of all components in the HPGT system. By employing the variable-step Runge–Kutta approach to calculate the system dynamic response, in conjunction with the presented calculation approach of the HPGT load sharing coefficient, the relationships among manufacturing errors, component floating, and load sharing are numerically obtained. The effects of the combined errors and single error on the load sharing are, respectively, discussed. Meanwhile, the effects of the support stiffness of the main components in the HPGT system on load sharing behavior are analyzed. The results indicate that manufacturing errors, floating components, and system support stiffness largely influence the load sharing behavior of the HPGT system. The research has a vital guiding significance for the design of the HPGT system.
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issn 1070-9622
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language English
publishDate 2021-01-01
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series Shock and Vibration
spelling doaj-art-c42339faf77a417484daca7d50af64a12025-02-03T06:12:01ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/55118175511817Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing ErrorsFei Ren0Jinchen Ji1Guofu Luo2Shaofu Zhao3Liya Zhao4Guiqin Shi5Xiaoling Wu6Ning Wang7School of Mechanical and Electrical Engineering & Henan Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, Zhengzhou University of Light Industry, Zhengzhou 450002, ChinaSchool of Mechanical and Mechatronic Engineering, Faculty of Engineering and Information Technology, University of Technology Sydney, Broadway, NSW 2007, AustraliaSchool of Mechanical and Electrical Engineering & Henan Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, Zhengzhou University of Light Industry, Zhengzhou 450002, ChinaZhengzhou Research Institute of Mechanical Engineering Co., Ltd., Zhengzhou 450001, ChinaSchool of Mechanical and Mechatronic Engineering, Faculty of Engineering and Information Technology, University of Technology Sydney, Broadway, NSW 2007, AustraliaZhengzhou University of Light Industry, Zhengzhou 450002, ChinaState Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, ChinaUnderground Space Design and Research Institute, China Railway Engineering Equipment Group Co. Ltd., Zhengzhou 450016, ChinaIn this study, based on the lumped-parameter theory and the Lagrange approach, a novel and generalized bending-torsional-axial coupled dynamic model for analyzing the load sharing behavior in the herringbone planetary gear train (HPGT) is presented by taking into account the actual structure of herringbone gears, manufacturing errors, time-dependent meshing stiffness, bearing deflections, and gyroscopic effects. The model can be applied to the analysis of the vibration of the HPGT with any number of planets and different types of manufacturing errors in different floating forms. The HPGT equivalent meshing error is analyzed and derived for the tooth profile errors and manufacturing eccentric errors of all components in the HPGT system. By employing the variable-step Runge–Kutta approach to calculate the system dynamic response, in conjunction with the presented calculation approach of the HPGT load sharing coefficient, the relationships among manufacturing errors, component floating, and load sharing are numerically obtained. The effects of the combined errors and single error on the load sharing are, respectively, discussed. Meanwhile, the effects of the support stiffness of the main components in the HPGT system on load sharing behavior are analyzed. The results indicate that manufacturing errors, floating components, and system support stiffness largely influence the load sharing behavior of the HPGT system. The research has a vital guiding significance for the design of the HPGT system.http://dx.doi.org/10.1155/2021/5511817
spellingShingle Fei Ren
Jinchen Ji
Guofu Luo
Shaofu Zhao
Liya Zhao
Guiqin Shi
Xiaoling Wu
Ning Wang
Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors
Shock and Vibration
title Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors
title_full Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors
title_fullStr Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors
title_full_unstemmed Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors
title_short Investigation of Dynamic Load Sharing Behavior for Herringbone Planetary Gears considering Multicoupling Manufacturing Errors
title_sort investigation of dynamic load sharing behavior for herringbone planetary gears considering multicoupling manufacturing errors
url http://dx.doi.org/10.1155/2021/5511817
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