The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears

In the presence of manufacturing errors, the dynamic properties of herringbone planetary gear train (HPGT) can be altered from the originally designed properties to have undesired behavior. In this paper, by considering the herringbone gear actual structure characteristics, manufacturing eccentric e...

Full description

Bibliographic Details
Main Authors: Fei Ren, Ansheng Li, Guiqin Shi, Xiaoling Wu, Ning Wang
Format: Article
Language:English
Published: MDPI AG 2020-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/3/1060
id doaj-e98f7255410d4d879c399f30b4f43254
record_format Article
spelling doaj-e98f7255410d4d879c399f30b4f432542020-11-25T02:45:08ZengMDPI AGApplied Sciences2076-34172020-02-01103106010.3390/app10031060app10031060The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary GearsFei Ren0Ansheng Li1Guiqin Shi2Xiaoling Wu3Ning Wang4School 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 Electrical Engineering & Henan Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, Zhengzhou University of Light Industry, Zhengzhou 450002, ChinaSchool of Food and Bioengineering, Zhengzhou 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 the presence of manufacturing errors, the dynamic properties of herringbone planetary gear train (HPGT) can be altered from the originally designed properties to have undesired behavior. In this paper, by considering the herringbone gear actual structure characteristics, manufacturing eccentric errors of members (i.e., carrier and gears) and tooth profile errors of gears, time-varying meshing stiffness, bearing deformation, and gyroscopic effect, a novel lateral−torsional−axial coupling dynamic model for the herringbone planetary gear system is formulated by using the lumped-parameter method, which is able to be employed in the dynamic feature analysis of the HPGT with an arbitrary number of planets and different types of manufacturing errors. By applying the variable-step Runge−Kutta algorithm, the dynamic response of a HPGT system is studied for cases with and without planet−gear eccentric error excitations. The dynamic contact forces of gears and bearings are analyzed for the two cases in time and frequency domains, respectively. Moreover, the effect of the planet−gear eccentricity on the vibration accelerations of the HPGT system is also discussed. The obtained results indicate that manufacturing error excitations such as the planet−gear eccentricity have a pronounced influence on the dynamic behavior of the HPGT system.https://www.mdpi.com/2076-3417/10/3/1060herringbone planetary gearsdynamic modelmanufacturing eccentric errorsdynamic bearing forcesdynamic mesh forcesvibration accelerations
collection DOAJ
language English
format Article
sources DOAJ
author Fei Ren
Ansheng Li
Guiqin Shi
Xiaoling Wu
Ning Wang
spellingShingle Fei Ren
Ansheng Li
Guiqin Shi
Xiaoling Wu
Ning Wang
The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears
Applied Sciences
herringbone planetary gears
dynamic model
manufacturing eccentric errors
dynamic bearing forces
dynamic mesh forces
vibration accelerations
author_facet Fei Ren
Ansheng Li
Guiqin Shi
Xiaoling Wu
Ning Wang
author_sort Fei Ren
title The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears
title_short The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears
title_full The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears
title_fullStr The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears
title_full_unstemmed The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears
title_sort effects of the planet–gear manufacturing eccentric errors on the dynamic properties for herringbone planetary gears
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2020-02-01
description In the presence of manufacturing errors, the dynamic properties of herringbone planetary gear train (HPGT) can be altered from the originally designed properties to have undesired behavior. In this paper, by considering the herringbone gear actual structure characteristics, manufacturing eccentric errors of members (i.e., carrier and gears) and tooth profile errors of gears, time-varying meshing stiffness, bearing deformation, and gyroscopic effect, a novel lateral−torsional−axial coupling dynamic model for the herringbone planetary gear system is formulated by using the lumped-parameter method, which is able to be employed in the dynamic feature analysis of the HPGT with an arbitrary number of planets and different types of manufacturing errors. By applying the variable-step Runge−Kutta algorithm, the dynamic response of a HPGT system is studied for cases with and without planet−gear eccentric error excitations. The dynamic contact forces of gears and bearings are analyzed for the two cases in time and frequency domains, respectively. Moreover, the effect of the planet−gear eccentricity on the vibration accelerations of the HPGT system is also discussed. The obtained results indicate that manufacturing error excitations such as the planet−gear eccentricity have a pronounced influence on the dynamic behavior of the HPGT system.
topic herringbone planetary gears
dynamic model
manufacturing eccentric errors
dynamic bearing forces
dynamic mesh forces
vibration accelerations
url https://www.mdpi.com/2076-3417/10/3/1060
work_keys_str_mv AT feiren theeffectsoftheplanetgearmanufacturingeccentricerrorsonthedynamicpropertiesforherringboneplanetarygears
AT anshengli theeffectsoftheplanetgearmanufacturingeccentricerrorsonthedynamicpropertiesforherringboneplanetarygears
AT guiqinshi theeffectsoftheplanetgearmanufacturingeccentricerrorsonthedynamicpropertiesforherringboneplanetarygears
AT xiaolingwu theeffectsoftheplanetgearmanufacturingeccentricerrorsonthedynamicpropertiesforherringboneplanetarygears
AT ningwang theeffectsoftheplanetgearmanufacturingeccentricerrorsonthedynamicpropertiesforherringboneplanetarygears
AT feiren effectsoftheplanetgearmanufacturingeccentricerrorsonthedynamicpropertiesforherringboneplanetarygears
AT anshengli effectsoftheplanetgearmanufacturingeccentricerrorsonthedynamicpropertiesforherringboneplanetarygears
AT guiqinshi effectsoftheplanetgearmanufacturingeccentricerrorsonthedynamicpropertiesforherringboneplanetarygears
AT xiaolingwu effectsoftheplanetgearmanufacturingeccentricerrorsonthedynamicpropertiesforherringboneplanetarygears
AT ningwang effectsoftheplanetgearmanufacturingeccentricerrorsonthedynamicpropertiesforherringboneplanetarygears
_version_ 1724763970488762368