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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Format: | Article |
Language: | English |
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Wiley
2017-01-01
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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. |
format | Article |
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 |
work_keys_str_mv | AT linazhang threedimensionalmodelingandstructuredvibrationmodesoftwostagehelicalplanetarygearsusedincranes AT yongwang threedimensionalmodelingandstructuredvibrationmodesoftwostagehelicalplanetarygearsusedincranes AT kaiwu threedimensionalmodelingandstructuredvibrationmodesoftwostagehelicalplanetarygearsusedincranes AT ruoyusheng threedimensionalmodelingandstructuredvibrationmodesoftwostagehelicalplanetarygearsusedincranes |