Application of the Solving Methods and Numerical Differentiation for Curvature Parameter of Conjugate Surface
It is a basic problem to solve the principal curvature and direction of conjugate surface. Aiming at the complex and complicated problem of the conventional method to solve the principal direction and the principal curvature of conjugate tooth surface,a kind of calculation method to solve problem ba...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Transmission
2017-01-01
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| Series: | Jixie chuandong |
| Subjects: | |
| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.11.033 |
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| author | Zhou Weiguang Wei Bingyang Ouyang Hongfei Wei Yihao |
| author_facet | Zhou Weiguang Wei Bingyang Ouyang Hongfei Wei Yihao |
| author_sort | Zhou Weiguang |
| collection | DOAJ |
| description | It is a basic problem to solve the principal curvature and direction of conjugate surface. Aiming at the complex and complicated problem of the conventional method to solve the principal direction and the principal curvature of conjugate tooth surface,a kind of calculation method to solve problem based on numerical differentiation is proposed. The meshing coordinate system is established and the conjugate tooth surface equations are deduced,with a pair of space staggered shaft drive hypoid gear as the research object. The calculation of principal curvatures and directions of conjugate surface of pinion is carried out. The advantages and disadvantages of common methods of numerical differential method,LITVIN method and the method of induced curvature are compared and analyzed. It is shown that the numerical differential method is clear and easy to be used in calculating by the computer,and this result is precise. |
| format | Article |
| id | doaj-art-c8153f6ab0884269b30725ff194c7724 |
| 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-c8153f6ab0884269b30725ff194c77242025-01-10T14:20:26ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392017-01-014116817229933289Application of the Solving Methods and Numerical Differentiation for Curvature Parameter of Conjugate SurfaceZhou WeiguangWei BingyangOuyang HongfeiWei YihaoIt is a basic problem to solve the principal curvature and direction of conjugate surface. Aiming at the complex and complicated problem of the conventional method to solve the principal direction and the principal curvature of conjugate tooth surface,a kind of calculation method to solve problem based on numerical differentiation is proposed. The meshing coordinate system is established and the conjugate tooth surface equations are deduced,with a pair of space staggered shaft drive hypoid gear as the research object. The calculation of principal curvatures and directions of conjugate surface of pinion is carried out. The advantages and disadvantages of common methods of numerical differential method,LITVIN method and the method of induced curvature are compared and analyzed. It is shown that the numerical differential method is clear and easy to be used in calculating by the computer,and this result is precise.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.11.033Numerical differentiationInduced normal curvatureConjugate tooth surfacePrincipal directionPrincipal curvature |
| spellingShingle | Zhou Weiguang Wei Bingyang Ouyang Hongfei Wei Yihao Application of the Solving Methods and Numerical Differentiation for Curvature Parameter of Conjugate Surface Jixie chuandong Numerical differentiation Induced normal curvature Conjugate tooth surface Principal direction Principal curvature |
| title | Application of the Solving Methods and Numerical Differentiation for Curvature Parameter of Conjugate Surface |
| title_full | Application of the Solving Methods and Numerical Differentiation for Curvature Parameter of Conjugate Surface |
| title_fullStr | Application of the Solving Methods and Numerical Differentiation for Curvature Parameter of Conjugate Surface |
| title_full_unstemmed | Application of the Solving Methods and Numerical Differentiation for Curvature Parameter of Conjugate Surface |
| title_short | Application of the Solving Methods and Numerical Differentiation for Curvature Parameter of Conjugate Surface |
| title_sort | application of the solving methods and numerical differentiation for curvature parameter of conjugate surface |
| topic | Numerical differentiation Induced normal curvature Conjugate tooth surface Principal direction Principal curvature |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.11.033 |
| work_keys_str_mv | AT zhouweiguang applicationofthesolvingmethodsandnumericaldifferentiationforcurvatureparameterofconjugatesurface AT weibingyang applicationofthesolvingmethodsandnumericaldifferentiationforcurvatureparameterofconjugatesurface AT ouyanghongfei applicationofthesolvingmethodsandnumericaldifferentiationforcurvatureparameterofconjugatesurface AT weiyihao applicationofthesolvingmethodsandnumericaldifferentiationforcurvatureparameterofconjugatesurface |