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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Copernicus Publications
2016-11-01
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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. |
first_indexed | 2024-12-14T19:16:57Z |
format | Article |
id | doaj.art-7fea762e3de244efb3606f2bd5791c34 |
institution | Directory Open Access Journal |
issn | 2191-9151 2191-916X |
language | English |
last_indexed | 2024-12-14T19:16:57Z |
publishDate | 2016-11-01 |
publisher | Copernicus Publications |
record_format | Article |
series | Mechanical Sciences |
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 |