Geometric and Meshing Properties of Conjugate Curves for Gear Transmission
Joint Authors
Liang, Dong
Chen, Bingkui
Gao, Yane
Peng, Shuai
Qin, Siling
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-07
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Conjugate curves have been put forward previously by authors for gear transmission.
Compared with traditional conjugate surfaces, the conjugate curves have more flexibility and diversity in aspects of gear design and generation.
To further extend its application in power transmission, the geometric and meshing properties of conjugate curves are discussed in this paper.
Firstly, general principle descriptions of conjugate curves for arbitrary axial position are introduced.
Secondly, geometric analysis of conjugate curves is carried out based on differential geometry including tangent and normal in arbitrary contact direction, characteristic point, and curvature relationships.
Then, meshing properties of conjugate curves are further revealed.
According to a given plane or spatial curve, the uniqueness of conjugated curve under different contact angle conditions is discussed.
Meshing commonality of conjugate curves is also demonstrated in terms of a class of spiral curves contacting in the given direction for various gear axes.
Finally, a conclusive summary of this study is given.
American Psychological Association (APA)
Liang, Dong& Chen, Bingkui& Gao, Yane& Peng, Shuai& Qin, Siling. 2014. Geometric and Meshing Properties of Conjugate Curves for Gear Transmission. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1044297
Modern Language Association (MLA)
Liang, Dong…[et al.]. Geometric and Meshing Properties of Conjugate Curves for Gear Transmission. Mathematical Problems in Engineering No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1044297
American Medical Association (AMA)
Liang, Dong& Chen, Bingkui& Gao, Yane& Peng, Shuai& Qin, Siling. Geometric and Meshing Properties of Conjugate Curves for Gear Transmission. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1044297
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044297