Geometric Condition of Planar Engagement and Stress Analysis of Cup Bottom of Bell Shaped Harmonic Gear
In order to realize planar deformation of the tooth ring in radial direction which leads to planar line contact engagement between tooth profiles， according to the geometric equation of the cylindrical shell theory， the connection condition between the bell shaped shell and the tooth ring is propose...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Transmission
2020-06-01
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| Series: | Jixie chuandong |
| Subjects: | |
| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.06.017 |
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| author | Xing Jingzhong Pang Manyi Chen Xiaoxia Yao Yunpeng |
| author_facet | Xing Jingzhong Pang Manyi Chen Xiaoxia Yao Yunpeng |
| author_sort | Xing Jingzhong |
| collection | DOAJ |
| description | In order to realize planar deformation of the tooth ring in radial direction which leads to planar line contact engagement between tooth profiles， according to the geometric equation of the cylindrical shell theory， the connection condition between the bell shaped shell and the tooth ring is proposed. A parametric bell shaped flexspline shell contact model is established. The geometric condition of the bell shaped curve which realizes planar deformation of the tooth ring is solved iteratively，that is，the relationship between the ratio of the radius of the tooth ring to the radius of the bell shaped curve and the central angle of the circular bell shaped curve. The result is fitted with a five-order spline curve expression. The connection condition between the bell shaped shell and the cup bottom is solved and according to the theory of circular thin plate，the calculation method of the deformation and stress of the cup bottom is proposed. The research found that the stress of the bell shaped flexspline cup bottom increases exponentially with the increase of the shaft radius when the shaft radius greater than 0.65 times of the cup bottom radius. However，the geometric conditions of the bell-shaped curve for the planar deformation of the tooth ring are independent of the shaft radius. |
| format | Article |
| id | doaj-art-1618bc9b4a874a7da6774e54cfdce6f7 |
| institution | Kabale University |
| issn | 1004-2539 |
| language | zho |
| publishDate | 2020-06-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj-art-1618bc9b4a874a7da6774e54cfdce6f72025-01-10T14:44:55ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392020-06-01449610231443694Geometric Condition of Planar Engagement and Stress Analysis of Cup Bottom of Bell Shaped Harmonic GearXing JingzhongPang ManyiChen XiaoxiaYao YunpengIn order to realize planar deformation of the tooth ring in radial direction which leads to planar line contact engagement between tooth profiles， according to the geometric equation of the cylindrical shell theory， the connection condition between the bell shaped shell and the tooth ring is proposed. A parametric bell shaped flexspline shell contact model is established. The geometric condition of the bell shaped curve which realizes planar deformation of the tooth ring is solved iteratively，that is，the relationship between the ratio of the radius of the tooth ring to the radius of the bell shaped curve and the central angle of the circular bell shaped curve. The result is fitted with a five-order spline curve expression. The connection condition between the bell shaped shell and the cup bottom is solved and according to the theory of circular thin plate，the calculation method of the deformation and stress of the cup bottom is proposed. The research found that the stress of the bell shaped flexspline cup bottom increases exponentially with the increase of the shaft radius when the shaft radius greater than 0.65 times of the cup bottom radius. However，the geometric conditions of the bell-shaped curve for the planar deformation of the tooth ring are independent of the shaft radius.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.06.017Taper deformation |
| spellingShingle | Xing Jingzhong Pang Manyi Chen Xiaoxia Yao Yunpeng Geometric Condition of Planar Engagement and Stress Analysis of Cup Bottom of Bell Shaped Harmonic Gear Jixie chuandong Taper deformation |
| title | Geometric Condition of Planar Engagement and Stress Analysis of Cup Bottom of Bell Shaped Harmonic Gear |
| title_full | Geometric Condition of Planar Engagement and Stress Analysis of Cup Bottom of Bell Shaped Harmonic Gear |
| title_fullStr | Geometric Condition of Planar Engagement and Stress Analysis of Cup Bottom of Bell Shaped Harmonic Gear |
| title_full_unstemmed | Geometric Condition of Planar Engagement and Stress Analysis of Cup Bottom of Bell Shaped Harmonic Gear |
| title_short | Geometric Condition of Planar Engagement and Stress Analysis of Cup Bottom of Bell Shaped Harmonic Gear |
| title_sort | geometric condition of planar engagement and stress analysis of cup bottom of bell shaped harmonic gear |
| topic | Taper deformation |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.06.017 |
| work_keys_str_mv | AT xingjingzhong geometricconditionofplanarengagementandstressanalysisofcupbottomofbellshapedharmonicgear AT pangmanyi geometricconditionofplanarengagementandstressanalysisofcupbottomofbellshapedharmonicgear AT chenxiaoxia geometricconditionofplanarengagementandstressanalysisofcupbottomofbellshapedharmonicgear AT yaoyunpeng geometricconditionofplanarengagementandstressanalysisofcupbottomofbellshapedharmonicgear |