Design formulae for a concave convex arc line gear mechanism

Line gear is a newly developed gear mechanism with point contact meshing according to space curve meshing theory. This paper proposes a new form of line gear with a couple of concave convex arc tooth profiles. It has four characteristics. First, contact curve of the driving line gear is a cylindrica...

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Main Authors: Y. Chen, L. Yao
Format: Article
Language:English
Published: Copernicus Publications 2016-11-01
Series:Mechanical Sciences
Online Access:http://www.mech-sci.net/7/209/2016/ms-7-209-2016.pdf
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author Y. Chen
L. Yao
author_facet Y. Chen
L. Yao
author_sort Y. Chen
collection DOAJ
description Line gear is a newly developed gear mechanism with point contact meshing according to space curve meshing theory. This paper proposes a new form of line gear with a couple of concave convex arc tooth profiles. It has four characteristics. First, contact curve of the driving line gear is a cylindrical spiral curve. Second, two axes of a pair of line gears are located in the same plane with an arbitrary angle. Third, at the mesh point, normal tooth profiles of a line gear pair are a couple of inscribed circles. Namely, they form a couple of concave convex tooth profiles. Fourth, the tooth profile of a driving line gear is a convex, that of a driven line gear is a concave, and they are interchangeable. If only consider that the arcs of teeth at meshing point are tangent, the actual tooth surfaces may interfere outside of the meshing point. In this paper, the geometric condition of the tooth surface for a concave convex arc line gear mechanism is derived, and the optimal formulae of the tooth profile parameters are derived on basis of interference proof conditions. Finally, the 3-D modeling and kinematic simulation of line gear pairs show that the proposed line gear pairs can perform transmission normally. The proposed method will extend the application of line gear in the conventional power drive.
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spelling doaj.art-7fea762e3de244efb3606f2bd5791c342022-12-21T22:50:32ZengCopernicus PublicationsMechanical Sciences2191-91512191-916X2016-11-017220921810.5194/ms-7-209-2016Design formulae for a concave convex arc line gear mechanismY. Chen0L. Yao1School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, 510640, People's Republic of ChinaSchool of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, 510640, People's Republic of ChinaLine gear is a newly developed gear mechanism with point contact meshing according to space curve meshing theory. This paper proposes a new form of line gear with a couple of concave convex arc tooth profiles. It has four characteristics. First, contact curve of the driving line gear is a cylindrical spiral curve. Second, two axes of a pair of line gears are located in the same plane with an arbitrary angle. Third, at the mesh point, normal tooth profiles of a line gear pair are a couple of inscribed circles. Namely, they form a couple of concave convex tooth profiles. Fourth, the tooth profile of a driving line gear is a convex, that of a driven line gear is a concave, and they are interchangeable. If only consider that the arcs of teeth at meshing point are tangent, the actual tooth surfaces may interfere outside of the meshing point. In this paper, the geometric condition of the tooth surface for a concave convex arc line gear mechanism is derived, and the optimal formulae of the tooth profile parameters are derived on basis of interference proof conditions. Finally, the 3-D modeling and kinematic simulation of line gear pairs show that the proposed line gear pairs can perform transmission normally. The proposed method will extend the application of line gear in the conventional power drive.http://www.mech-sci.net/7/209/2016/ms-7-209-2016.pdf
spellingShingle Y. Chen
L. Yao
Design formulae for a concave convex arc line gear mechanism
Mechanical Sciences
title Design formulae for a concave convex arc line gear mechanism
title_full Design formulae for a concave convex arc line gear mechanism
title_fullStr Design formulae for a concave convex arc line gear mechanism
title_full_unstemmed Design formulae for a concave convex arc line gear mechanism
title_short Design formulae for a concave convex arc line gear mechanism
title_sort design formulae for a concave convex arc line gear mechanism
url http://www.mech-sci.net/7/209/2016/ms-7-209-2016.pdf
work_keys_str_mv AT ychen designformulaeforaconcaveconvexarclinegearmechanism
AT lyao designformulaeforaconcaveconvexarclinegearmechanism