کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
803085 | 1467770 | 2013 | 25 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: An invariant approach for curvature analysis of conjugate surfaces An invariant approach for curvature analysis of conjugate surfaces](/preview/png/803085.png)
Curvature analysis of conjugate surfaces is important and difficult in the theory of gearing. By introducing a rotation tensor for rigid-body motion and a surface curvature tensor for the curvatures of surface, tensor expressions of curvature relations between conjugate surfaces of line contact and point contact are directly obtained based on tensor analysis. Especially the result of point contact shows a clear explanation for Litvin's local synthesis. When involving practical computation, convenient reference coordinate systems can be chosen and the methods and tools for matrix computation can be employed. Application to generation, local synthesis and tooth contact analysis of face-milled spiral bevel gears is presented. The proposed invariant approach and the obtained results can be applied to design, manufacture and simulation of other complex surfaces.
► Tensor representation of rigid-body motion.
► Tensor representation of the curvatures of surface.
► Tensor expressions of curvature relations between conjugate surfaces.
► Application to generation, local synthesis and simulation of spiral bevel gears.
Journal: Mechanism and Machine Theory - Volume 64, June 2013, Pages 175–199