Surface Error Evaluation of Non-circular Bevel Gear of Variable Ratio Differential
Based on the data obtained from the three-coordinate measuring and pre-processing,a NURBS method to reconstruct the complex surface of non-circular bevel gear and a two-step matching method to implement the complex surface error evaluation is proposed. The curve and surface reconstruction of the tee...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Journal of Mechanical Transmission
2017-01-01
|
| Series: | Jixie chuandong |
| Subjects: | |
| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.04.011 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841547693623607296 |
|---|---|
| author | Xie Xia Zhang Xiaobao Jia Jumin |
| author_facet | Xie Xia Zhang Xiaobao Jia Jumin |
| author_sort | Xie Xia |
| collection | DOAJ |
| description | Based on the data obtained from the three-coordinate measuring and pre-processing,a NURBS method to reconstruct the complex surface of non-circular bevel gear and a two-step matching method to implement the complex surface error evaluation is proposed. The curve and surface reconstruction of the teeth surface is carried out by NURBS interpolation,and the least square approximation is adopted to gain the model of the reconstruction surface. Integrating ICP and BFGS algorithm,an error evaluation model is built,and the measuring data is initially matched and precisely matched to the design model. The model is solved by MATLAB programming,the Euclid transformation matrix is gotten and then the surface profile error of the gear can be achieved. Finally,the obtained error is 0. 053 22 mm,which meets the requirements of gear design. The calculating results show that this method has high accuracy and speed to reconstruct the surface and can solve the error evaluation problem for the complicated surface. |
| format | Article |
| id | doaj-art-ce5842fa168040dcb6734f22ccbd8218 |
| institution | Kabale University |
| issn | 1004-2539 |
| language | zho |
| publishDate | 2017-01-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj-art-ce5842fa168040dcb6734f22ccbd82182025-01-10T14:23:37ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392017-01-0141485229929688Surface Error Evaluation of Non-circular Bevel Gear of Variable Ratio DifferentialXie XiaZhang XiaobaoJia JuminBased on the data obtained from the three-coordinate measuring and pre-processing,a NURBS method to reconstruct the complex surface of non-circular bevel gear and a two-step matching method to implement the complex surface error evaluation is proposed. The curve and surface reconstruction of the teeth surface is carried out by NURBS interpolation,and the least square approximation is adopted to gain the model of the reconstruction surface. Integrating ICP and BFGS algorithm,an error evaluation model is built,and the measuring data is initially matched and precisely matched to the design model. The model is solved by MATLAB programming,the Euclid transformation matrix is gotten and then the surface profile error of the gear can be achieved. Finally,the obtained error is 0. 053 22 mm,which meets the requirements of gear design. The calculating results show that this method has high accuracy and speed to reconstruct the surface and can solve the error evaluation problem for the complicated surface.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.04.011Variable ratio differentialNon-circular bevel gearNURBS interpolationLeast square approximationInitial matchingPrecise matching |
| spellingShingle | Xie Xia Zhang Xiaobao Jia Jumin Surface Error Evaluation of Non-circular Bevel Gear of Variable Ratio Differential Jixie chuandong Variable ratio differential Non-circular bevel gear NURBS interpolation Least square approximation Initial matching Precise matching |
| title | Surface Error Evaluation of Non-circular Bevel Gear of Variable Ratio Differential |
| title_full | Surface Error Evaluation of Non-circular Bevel Gear of Variable Ratio Differential |
| title_fullStr | Surface Error Evaluation of Non-circular Bevel Gear of Variable Ratio Differential |
| title_full_unstemmed | Surface Error Evaluation of Non-circular Bevel Gear of Variable Ratio Differential |
| title_short | Surface Error Evaluation of Non-circular Bevel Gear of Variable Ratio Differential |
| title_sort | surface error evaluation of non circular bevel gear of variable ratio differential |
| topic | Variable ratio differential Non-circular bevel gear NURBS interpolation Least square approximation Initial matching Precise matching |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.04.011 |
| work_keys_str_mv | AT xiexia surfaceerrorevaluationofnoncircularbevelgearofvariableratiodifferential AT zhangxiaobao surfaceerrorevaluationofnoncircularbevelgearofvariableratiodifferential AT jiajumin surfaceerrorevaluationofnoncircularbevelgearofvariableratiodifferential |