Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring

Crowned tooth can improve the meshing state between tooth surfaces and enhance the load capacity of harmonic gears. In order to reveal the deformation law of the flexspline with variable thickness of tooth ring formed by the radial modification of drum shape,a theoretical method of spatial deformati...

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Main Authors: Yuqi Wang, Xiaoxia Chen, Jingzhong Xing, Yunpeng Yao
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2021-12-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.12.002
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author Yuqi Wang
Xiaoxia Chen
Jingzhong Xing
Yunpeng Yao
author_facet Yuqi Wang
Xiaoxia Chen
Jingzhong Xing
Yunpeng Yao
author_sort Yuqi Wang
collection DOAJ
description Crowned tooth can improve the meshing state between tooth surfaces and enhance the load capacity of harmonic gears. In order to reveal the deformation law of the flexspline with variable thickness of tooth ring formed by the radial modification of drum shape,a theoretical method of spatial deformation of the gear with variable neutral layer radius is proposed. The formulas of radial,circumferential and angular displacements of the neutral line of the gear ring with the axial midface radius changing are derived. A parametric solid unit element finite element model of cup type flexspline with real tooth profile is established,and the neutral line deformation in the forward,middle and back cross sections of the tooth ring is calculated by contact analysis. The finite element results of each section of the tooth ring agree well with the theoretical values. The spatial deformation characteristics of variable thickness tooth ring are studied by comparing with the model of equal thickness tooth ring. The results show that the nonlinear characteristics of the generatrix are aggravated by the variable thickness ring. The nonlinear characteristics of the generatrix in the long axis region from the middle section to the back section and the generatrix in the short axis region from the front section to the middle section are more significant.
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id doaj-art-51b5a3b9e6464137ad583fcf57475893
institution Kabale University
issn 1004-2539
language zho
publishDate 2021-12-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-51b5a3b9e6464137ad583fcf574758932025-01-10T13:57:07ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392021-12-014581424395438Research on Spatial Deformation of Flexspline with Variable Thickness Tooth RingYuqi WangXiaoxia ChenJingzhong XingYunpeng YaoCrowned tooth can improve the meshing state between tooth surfaces and enhance the load capacity of harmonic gears. In order to reveal the deformation law of the flexspline with variable thickness of tooth ring formed by the radial modification of drum shape,a theoretical method of spatial deformation of the gear with variable neutral layer radius is proposed. The formulas of radial,circumferential and angular displacements of the neutral line of the gear ring with the axial midface radius changing are derived. A parametric solid unit element finite element model of cup type flexspline with real tooth profile is established,and the neutral line deformation in the forward,middle and back cross sections of the tooth ring is calculated by contact analysis. The finite element results of each section of the tooth ring agree well with the theoretical values. The spatial deformation characteristics of variable thickness tooth ring are studied by comparing with the model of equal thickness tooth ring. The results show that the nonlinear characteristics of the generatrix are aggravated by the variable thickness ring. The nonlinear characteristics of the generatrix in the long axis region from the middle section to the back section and the generatrix in the short axis region from the front section to the middle section are more significant.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.12.002Variable thickness tooth ringFlexsplineHarmonic gearSpatial deformationSolid unit finite element model
spellingShingle Yuqi Wang
Xiaoxia Chen
Jingzhong Xing
Yunpeng Yao
Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring
Jixie chuandong
Variable thickness tooth ring
Flexspline
Harmonic gear
Spatial deformation
Solid unit finite element model
title Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring
title_full Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring
title_fullStr Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring
title_full_unstemmed Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring
title_short Research on Spatial Deformation of Flexspline with Variable Thickness Tooth Ring
title_sort research on spatial deformation of flexspline with variable thickness tooth ring
topic Variable thickness tooth ring
Flexspline
Harmonic gear
Spatial deformation
Solid unit finite element model
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.12.002
work_keys_str_mv AT yuqiwang researchonspatialdeformationofflexsplinewithvariablethicknesstoothring
AT xiaoxiachen researchonspatialdeformationofflexsplinewithvariablethicknesstoothring
AT jingzhongxing researchonspatialdeformationofflexsplinewithvariablethicknesstoothring
AT yunpengyao researchonspatialdeformationofflexsplinewithvariablethicknesstoothring