Surface Generation and Fabrication of Roller Gear Cam with Spherical Rollers

Abstract

This paper derived the surface profile equations and the meshing equations of the spherical meshing elements from the homogeneous coordinate transformation matrix and the conjugate surface theory proved by the envelope theory. In the machining aspect, we demonstrated the position equation of cam profile using the coordinate transformation theory and obtained the perfected controlling position point of the tool path under the limitation of the chord errors. Finally, the design and the machining module was developed via Visual Basic that generated the cam profile points and the tool path points. The curves from UNIGRAPHICS to test and verify the cam profile equation. To verify the validation of the tool path, a cutting simulation software, VERICUT, is used to simulate the cutting geometry and kinematics of the roller gear cam, and demonstrate the practical application of the developed method.

Track-based analysis for profile generation on globoidal cam in automatic tool changer of CNC machining center

“…In this case study, input data for modeling were used as angular input, and output displacement of the cam has been used with the turret follower. Chen and Hong (2008) highlighted a method for roller gears cam through spherical roller with surface generation and fabrication. Chen and Hong (2008) derived surface profile and meshing equations for the spherical meshing elements using a homogeneous coordinate transformation matrix.…”

“…Chen and Hong (2008) highlighted a method for roller gears cam through spherical roller with surface generation and fabrication. Chen and Hong (2008) derived surface profile and meshing equations for the spherical meshing elements using a homogeneous coordinate transformation matrix. This matrix was used with the conjugate surface theory which was earlier proved by the envelope theory.…”

“…This theory uses modules to develop cam profile points using visual basic. For cam profile equations, designing tools like Unigraphics and vericut were used in the study (Chen and Hong, 2008). A synthesized variable speed to lower the inertia caused by start and stop of the cam was also reported in Chen and Hong (2008).…”

“…For cam profile equations, designing tools like Unigraphics and vericut were used in the study (Chen and Hong, 2008). A synthesized variable speed to lower the inertia caused by start and stop of the cam was also reported in Chen and Hong (2008). Among the four key techniques for cam development, results proved that the motion curve of a turret by using B-spline curve generates the best curves with velocity control.…”

Modelling concave globoidal cam with indexing turret follower: A case study

“…Yan and Chen (1994, 1995, 1996 derived mathematical expression for the surface geometry of globoidal cam with cylindrical, conical and hyperboloid rollers, based on coordinate transformation, differential geometry, and theory of conjugate surfaces. These mathematical techniques were also applied by some other researchers (Yan-ming 2000, Lee and Lee 2001, 2002, Chen and Hong 2008. To analyze the transmission error and to synthesize the tolerances, Cheng (2002) also made the geometric mathematical models of globoidal cam surface by the conjugating theory.…”