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Strategic Study of CAE >> 2001, Volume 3, Issue 12

The Application of Moving Frame in the Calculation of Spiral Bevel Gear’s Principal Curvature

Jiaozuo Institute of Technology, Jiaozuo, Henan 454000, Chian

Funding project:河南省自然科学基金资助项目(984060400) Received: 2001-07-09 Revised: 2001-09-10 Available online: 2001-12-20

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Abstract

the calculation of contacted points´ principal curvature is the key to determine contacted area. Traditionally, the method of determining principal curvature is to make use of the theory of mesh and coordinate transform. However, this method is complex. In this paper, based on the feature of curve surface, moving frame and co-differential are employed to give a sententious, effective algorithm of principal curvature. Then, according to the formulation of contacted area, an application example is given. This algorithm can be used for calculation of principal curvature in all kinds of curve surfaces.

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References

[ 1 ] LitvinFL Determinationofprincipalcurvaturesandcontactellipsefor profilecrownedhelicalgears[J].JournalofMechanicalDesign, 1999, 121:107~111

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[ 4 ] 梁 剑.弧齿锥齿轮接触区理论研究及模拟[D].河南焦作:焦作工学院, 2001

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