Analysis of Meshing Stiffness of Variable Hyperbolic Arc Gear based on Finite Element Method

In order to study the meshing stiffness of variable hyperbolic arc gear, the tooth surface equation of variable hyperbolic arc gear is obtained according to the forming principle, and its accurate three-dimensional model is established. Based on the theory of contact finite element analysis, the cal...

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Main Authors: Jianping Gou, Li Hou, Yang Wu, Pei Luo, Qi Zhang, Dengqiu Ma
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2020-10-01
Series:Jixie chuandong
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Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.10.015
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author Jianping Gou
Li Hou
Yang Wu
Pei Luo
Qi Zhang
Dengqiu Ma
author_facet Jianping Gou
Li Hou
Yang Wu
Pei Luo
Qi Zhang
Dengqiu Ma
author_sort Jianping Gou
collection DOAJ
description In order to study the meshing stiffness of variable hyperbolic arc gear, the tooth surface equation of variable hyperbolic arc gear is obtained according to the forming principle, and its accurate three-dimensional model is established. Based on the theory of contact finite element analysis, the calculation method of meshing stiffness is studied. Using the finite element software, a pair of gear finite element model is constructed. The comprehensive elastic deformation of the tooth surface is extracted, and the normal contact force of the tooth surface is calculated by the torque formula. The single tooth mesh stiffness and the double tooth comprehensive mesh stiffness are calculated, which the results show that the stiffness curve of single tooth mesh increases first and then decreases with the increase of driving wheel angle. Then, the influence of different loads on the meshing stiffness curve is analyzed. The results show that the peak value of the stiffness curve increases with the increase of the load, and the load has more obvious influence on the peak value of the comprehensive meshing stiffness curve of the double teeth. At last, the influence of different tooth radius on the meshing stiffness curve is analyzed. The results reveal that the peak stiffness curve decreases with the increase of tooth radius, and the stiffness difference between the meshing area of single and double teeth decreases.
format Article
id doaj-art-a7ee4c368eb34df1890280d513e9d97d
institution Kabale University
issn 1004-2539
language zho
publishDate 2020-10-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-a7ee4c368eb34df1890280d513e9d97d2025-01-10T14:55:22ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392020-10-014410411029791724Analysis of Meshing Stiffness of Variable Hyperbolic Arc Gear based on Finite Element MethodJianping GouLi HouYang WuPei LuoQi ZhangDengqiu MaIn order to study the meshing stiffness of variable hyperbolic arc gear, the tooth surface equation of variable hyperbolic arc gear is obtained according to the forming principle, and its accurate three-dimensional model is established. Based on the theory of contact finite element analysis, the calculation method of meshing stiffness is studied. Using the finite element software, a pair of gear finite element model is constructed. The comprehensive elastic deformation of the tooth surface is extracted, and the normal contact force of the tooth surface is calculated by the torque formula. The single tooth mesh stiffness and the double tooth comprehensive mesh stiffness are calculated, which the results show that the stiffness curve of single tooth mesh increases first and then decreases with the increase of driving wheel angle. Then, the influence of different loads on the meshing stiffness curve is analyzed. The results show that the peak value of the stiffness curve increases with the increase of the load, and the load has more obvious influence on the peak value of the comprehensive meshing stiffness curve of the double teeth. At last, the influence of different tooth radius on the meshing stiffness curve is analyzed. The results reveal that the peak stiffness curve decreases with the increase of tooth radius, and the stiffness difference between the meshing area of single and double teeth decreases.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.10.015Variable hyperbolic arc gearContact analysisMesh stiffnessFinite element method
spellingShingle Jianping Gou
Li Hou
Yang Wu
Pei Luo
Qi Zhang
Dengqiu Ma
Analysis of Meshing Stiffness of Variable Hyperbolic Arc Gear based on Finite Element Method
Jixie chuandong
Variable hyperbolic arc gear
Contact analysis
Mesh stiffness
Finite element method
title Analysis of Meshing Stiffness of Variable Hyperbolic Arc Gear based on Finite Element Method
title_full Analysis of Meshing Stiffness of Variable Hyperbolic Arc Gear based on Finite Element Method
title_fullStr Analysis of Meshing Stiffness of Variable Hyperbolic Arc Gear based on Finite Element Method
title_full_unstemmed Analysis of Meshing Stiffness of Variable Hyperbolic Arc Gear based on Finite Element Method
title_short Analysis of Meshing Stiffness of Variable Hyperbolic Arc Gear based on Finite Element Method
title_sort analysis of meshing stiffness of variable hyperbolic arc gear based on finite element method
topic Variable hyperbolic arc gear
Contact analysis
Mesh stiffness
Finite element method
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.10.015
work_keys_str_mv AT jianpinggou analysisofmeshingstiffnessofvariablehyperbolicarcgearbasedonfiniteelementmethod
AT lihou analysisofmeshingstiffnessofvariablehyperbolicarcgearbasedonfiniteelementmethod
AT yangwu analysisofmeshingstiffnessofvariablehyperbolicarcgearbasedonfiniteelementmethod
AT peiluo analysisofmeshingstiffnessofvariablehyperbolicarcgearbasedonfiniteelementmethod
AT qizhang analysisofmeshingstiffnessofvariablehyperbolicarcgearbasedonfiniteelementmethod
AT dengqiuma analysisofmeshingstiffnessofvariablehyperbolicarcgearbasedonfiniteelementmethod