DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT)

To study the association relationship between amplitude jumps and tooth meshing impact in a gear transmission system with backlash, the dynamic equations of amplitude-frequency characteristics of a single gear system are established by the method of harmonic balance. The equation is solved by the qu...

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Main Authors: TIAN YaPing, ZHANG Feng, YANG JiangHui, KANG JunFeng
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2023-01-01
Series:Jixie qiangdu
Subjects:
Online Access:http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.05.002
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author TIAN YaPing
ZHANG Feng
YANG JiangHui
KANG JunFeng
author_facet TIAN YaPing
ZHANG Feng
YANG JiangHui
KANG JunFeng
author_sort TIAN YaPing
collection DOAJ
description To study the association relationship between amplitude jumps and tooth meshing impact in a gear transmission system with backlash, the dynamic equations of amplitude-frequency characteristics of a single gear system are established by the method of harmonic balance. The equation is solved by the quasi-Newton Broyden rank-2 method and pseudo-arc-length continuation algorithm, and then, the two-dimensional domain boundary solution structure of amplitude-frequency characteristics is obtained. The multi-valued solution and tooth surface impact characteristics of the system in the parameter domain boundary structure of the backlash, static comprehensive error, time-varying meshing stiffness, damping, and frequency are analyzed, respectively. The effects of parameters on amplitude jump, multi-value solution, and tooth surface impact characteristics of the system are investigated. The analysis shows that the amplitude jump response of the system appears near the resonance frequency. The nonlinear jump also appears at the non-clearance bearing supports due to the effect of the gear backlash. When b>1.55, the backlash is not sensitive to the system multi-value solution and tooth surface impact characteristics. The multi-value solution and tooth surface impact characteristics of the system are exacerbated by the increase of the meshing stiffness and the static comprehensive error. Damping can effectively suppress the system amplitude jump and tooth surface impact characteristics, when ξ> 0.3, the system shows linear characteristics.
format Article
id doaj-art-45e5fb55704c4156af8e486bc95db817
institution Kabale University
issn 1001-9669
language zho
publishDate 2023-01-01
publisher Editorial Office of Journal of Mechanical Strength
record_format Article
series Jixie qiangdu
spelling doaj-art-45e5fb55704c4156af8e486bc95db8172025-01-15T02:44:22ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692023-01-011024102944026178DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT)TIAN YaPingZHANG FengYANG JiangHuiKANG JunFengTo study the association relationship between amplitude jumps and tooth meshing impact in a gear transmission system with backlash, the dynamic equations of amplitude-frequency characteristics of a single gear system are established by the method of harmonic balance. The equation is solved by the quasi-Newton Broyden rank-2 method and pseudo-arc-length continuation algorithm, and then, the two-dimensional domain boundary solution structure of amplitude-frequency characteristics is obtained. The multi-valued solution and tooth surface impact characteristics of the system in the parameter domain boundary structure of the backlash, static comprehensive error, time-varying meshing stiffness, damping, and frequency are analyzed, respectively. The effects of parameters on amplitude jump, multi-value solution, and tooth surface impact characteristics of the system are investigated. The analysis shows that the amplitude jump response of the system appears near the resonance frequency. The nonlinear jump also appears at the non-clearance bearing supports due to the effect of the gear backlash. When b>1.55, the backlash is not sensitive to the system multi-value solution and tooth surface impact characteristics. The multi-value solution and tooth surface impact characteristics of the system are exacerbated by the increase of the meshing stiffness and the static comprehensive error. Damping can effectively suppress the system amplitude jump and tooth surface impact characteristics, when ξ> 0.3, the system shows linear characteristics.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.05.002Single-stage gear setsTwo-parameter planeHarmonic balance methodTooth surface impactDynamic characteristics
spellingShingle TIAN YaPing
ZHANG Feng
YANG JiangHui
KANG JunFeng
DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT)
Jixie qiangdu
Single-stage gear sets
Two-parameter plane
Harmonic balance method
Tooth surface impact
Dynamic characteristics
title DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT)
title_full DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT)
title_fullStr DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT)
title_full_unstemmed DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT)
title_short DYNAMIC CHARACTERISTIC BOUNDARY DOMAIN STRUCTURE ANALYSIS OF A SINGLE-STAGE GEAR SYSTEM IN TWO-PARAMETER PLANE (MT)
title_sort dynamic characteristic boundary domain structure analysis of a single stage gear system in two parameter plane mt
topic Single-stage gear sets
Two-parameter plane
Harmonic balance method
Tooth surface impact
Dynamic characteristics
url http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.05.002
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AT zhangfeng dynamiccharacteristicboundarydomainstructureanalysisofasinglestagegearsystemintwoparameterplanemt
AT yangjianghui dynamiccharacteristicboundarydomainstructureanalysisofasinglestagegearsystemintwoparameterplanemt
AT kangjunfeng dynamiccharacteristicboundarydomainstructureanalysisofasinglestagegearsystemintwoparameterplanemt