Chinese Journal of Mechanical Engineering >

2018 , Vol. 31 >Issue 6: 104 - 104

DOI: https://doi.org/10.1186/s10033-018-0300-z

Mechanism and Robotics

Investigation on Mesh and Sideband Vibrations of Helical Planetary Ring Gear Using Structure, Excitation and Deformation Symmetries

  • Shi-Yu Wang ,
  • Chanannipat Meesap
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  • 1. School of Mechanical Engineering, Tianjin University, 300072 Tianjin, China;
    2. Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, 300354 Tianjin, China;
    3. Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin University, 300072 Tianjin, China

收稿日期: 2017-01-16

  网络出版日期: 2019-07-23

基金资助

Supported by National Natural Science Foundation of China (Grant Nos. 51175370, 51675368), Application of Basic Research and Frontier Technology Research Key Projects of Tianjin, China (Grant No. 13JCZDJC34300), and National Basic Research Program of China (973 Program, Grant No. 2013CB035402)

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Investigation on Mesh and Sideband Vibrations of Helical Planetary Ring Gear Using Structure, Excitation and Deformation Symmetries

  • Shi-Yu Wang ,
  • Chanannipat Meesap
Expand
  • 1. School of Mechanical Engineering, Tianjin University, 300072 Tianjin, China;
    2. Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, 300354 Tianjin, China;
    3. Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin University, 300072 Tianjin, China

Received date: 2017-01-16

  Online published: 2019-07-23

Supported by

Supported by National Natural Science Foundation of China (Grant Nos. 51175370, 51675368), Application of Basic Research and Frontier Technology Research Key Projects of Tianjin, China (Grant No. 13JCZDJC34300), and National Basic Research Program of China (973 Program, Grant No. 2013CB035402)

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摘要

Time-variant excitations in planetary gear trains can cause excessive noise and vibration and even damage the system on a permanent basis. This paper focuses on the elastic vibrations of a helical planetary ring gear subjected to mesh and planet-pass excitations. Motivated by the structure, excitation and deformation symmetries, this paper proposes dual-frequency superposition and modulation methods to capture the mesh and sideband vibrations. The transition between ring gear tooth and planet is introduced to address the excitations and vibrations. The phasing effect of ring gear tooth and planet on various deformations is formulated. The inherent connections between the two types of vibrations are identified. The vibrations share identical exciting rules and the wavenumber and modulating signal order both equal the linear combination of tooth and planet counts. The results cover in-plane bending and extensional, out-of-plane bending and torsional deformations. Main findings are verified by numerical calculation and comparisons with the open literature. The analytical expressions can be used to determine whether the sideband is caused by component fault or only by elastic vibration. The methods can be extended to other power-transmission systems because little restriction is imposed during the analysis.

关键词： Helical planetary ring gear; Typical vibration modes; Planet phasing; Sideband

本文引用格式

Shi-Yu Wang , Chanannipat Meesap . Investigation on Mesh and Sideband Vibrations of Helical Planetary Ring Gear Using Structure, Excitation and Deformation Symmetries[J]. Chinese Journal of Mechanical Engineering, 2018 , 31(6) : 104 -104 . DOI: 10.1186/s10033-018-0300-z

Abstract

Time-variant excitations in planetary gear trains can cause excessive noise and vibration and even damage the system on a permanent basis. This paper focuses on the elastic vibrations of a helical planetary ring gear subjected to mesh and planet-pass excitations. Motivated by the structure, excitation and deformation symmetries, this paper proposes dual-frequency superposition and modulation methods to capture the mesh and sideband vibrations. The transition between ring gear tooth and planet is introduced to address the excitations and vibrations. The phasing effect of ring gear tooth and planet on various deformations is formulated. The inherent connections between the two types of vibrations are identified. The vibrations share identical exciting rules and the wavenumber and modulating signal order both equal the linear combination of tooth and planet counts. The results cover in-plane bending and extensional, out-of-plane bending and torsional deformations. Main findings are verified by numerical calculation and comparisons with the open literature. The analytical expressions can be used to determine whether the sideband is caused by component fault or only by elastic vibration. The methods can be extended to other power-transmission systems because little restriction is imposed during the analysis.

Key words： Helical planetary ring gear; Typical vibration modes; Planet phasing; Sideband

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