Analysis Method for Noncircular Bevel Gearing Based on Geodesic Curvature Preserving Mapping

JIA Jumin  GAO Bo  ZHAO Delong

(Department of Handling Facilities, Academy of Military Transportation, Tianjin 300161)

Abstract: Based on the round trip mapping algorithm with preserved geodesic curvature between a sphere and a plane, a novel analysis method is presented for bevel gearing with variable ratio, which can be regarded as an extension of the well-known back-cone method for circular bevel gearing to noncircular ones. By means of it, the analysis method, the design principle and the manufacturing technique well used on noncircular spur gears can be reasonably transplanted to bevel gearing. A case study shows the effectiveness of the new method.

Key words: Noncircular bevel gear  Geodesic curvature  Mapping  Pitch curve  Tooth profile

CLC No: TH132.4

国家自然科学基金(59775010)和教育部留学回国人员科研启动基金(2002247)资助项目. Received 20070405, received in revised form 20070927

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