Three-Dimensional Modeling and Structured Vibration Modes of Two-Stage Helical Planetary Gears Used in Cranes

The dynamic investigation of helical planetary gears plays an important role in structure design as the vibration and noise are perceived negatively to the transmission quality. With consideration of the axial deformations of members, the gyroscopic effects, the time-variant meshing stiffness, and t...

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Main Authors: Lina Zhang, Yong Wang, Kai Wu, Ruoyu Sheng
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2017/9864959
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author Lina Zhang
Yong Wang
Kai Wu
Ruoyu Sheng
author_facet Lina Zhang
Yong Wang
Kai Wu
Ruoyu Sheng
author_sort Lina Zhang
collection DOAJ
description The dynamic investigation of helical planetary gears plays an important role in structure design as the vibration and noise are perceived negatively to the transmission quality. With consideration of the axial deformations of members, the gyroscopic effects, the time-variant meshing stiffness, and the coupling amongst stages, a three-dimensional dynamic model of the two-stage helical planetary gears is established by using of the lumped-parameter method in this paper. The model is applicable to variant number of planets in two stages, different planet phasing, and spacing configurations. Numerical simulation is conducted to detect the structured vibration modes of the equally spaced systems. Furthermore, the unique properties of these vibration modes are mathematically proved. Results show that the vibration modes of the two-stage helical planetary gears can be categorized as five classes: the rigid body mode, the axial translational-rotational mode, the radical translational mode, and the 1st-stage and the 2nd-stage planet mode.
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id doaj-art-ffa325ba2bbc41eb9376f7bd88858954
institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-ffa325ba2bbc41eb9376f7bd888589542025-02-03T01:01:58ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/98649599864959Three-Dimensional Modeling and Structured Vibration Modes of Two-Stage Helical Planetary Gears Used in CranesLina Zhang0Yong Wang1Kai Wu2Ruoyu Sheng3School of Mechanical Engineering, Shandong University, Jinan, ChinaSchool of Mechanical Engineering, Shandong University, Jinan, ChinaWeichai Power Co., Ltd., Weifang, ChinaSchool of Mechanical Engineering, Shandong University, Jinan, ChinaThe dynamic investigation of helical planetary gears plays an important role in structure design as the vibration and noise are perceived negatively to the transmission quality. With consideration of the axial deformations of members, the gyroscopic effects, the time-variant meshing stiffness, and the coupling amongst stages, a three-dimensional dynamic model of the two-stage helical planetary gears is established by using of the lumped-parameter method in this paper. The model is applicable to variant number of planets in two stages, different planet phasing, and spacing configurations. Numerical simulation is conducted to detect the structured vibration modes of the equally spaced systems. Furthermore, the unique properties of these vibration modes are mathematically proved. Results show that the vibration modes of the two-stage helical planetary gears can be categorized as five classes: the rigid body mode, the axial translational-rotational mode, the radical translational mode, and the 1st-stage and the 2nd-stage planet mode.http://dx.doi.org/10.1155/2017/9864959
spellingShingle Lina Zhang
Yong Wang
Kai Wu
Ruoyu Sheng
Three-Dimensional Modeling and Structured Vibration Modes of Two-Stage Helical Planetary Gears Used in Cranes
Shock and Vibration
title Three-Dimensional Modeling and Structured Vibration Modes of Two-Stage Helical Planetary Gears Used in Cranes
title_full Three-Dimensional Modeling and Structured Vibration Modes of Two-Stage Helical Planetary Gears Used in Cranes
title_fullStr Three-Dimensional Modeling and Structured Vibration Modes of Two-Stage Helical Planetary Gears Used in Cranes
title_full_unstemmed Three-Dimensional Modeling and Structured Vibration Modes of Two-Stage Helical Planetary Gears Used in Cranes
title_short Three-Dimensional Modeling and Structured Vibration Modes of Two-Stage Helical Planetary Gears Used in Cranes
title_sort three dimensional modeling and structured vibration modes of two stage helical planetary gears used in cranes
url http://dx.doi.org/10.1155/2017/9864959
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AT yongwang threedimensionalmodelingandstructuredvibrationmodesoftwostagehelicalplanetarygearsusedincranes
AT kaiwu threedimensionalmodelingandstructuredvibrationmodesoftwostagehelicalplanetarygearsusedincranes
AT ruoyusheng threedimensionalmodelingandstructuredvibrationmodesoftwostagehelicalplanetarygearsusedincranes