2001Machine Design and ResearchRequires access

A Special Spherical Surface Cam With a Conical Roller Follow er and the Design of Its Contour Surface

Ruikun Gong

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Abstract

In this paper,a special spherical surface cam with a conical roller follower is put forward. The apex of the conical roller coincides with the spherical center of the cam. Using the spherical coordinate, author establishes the contour surface equa tion and pressure angle formula of the cam. Which provides the oretical basis for the design and NC processing of the cam. The cam has the following advantageous features:①Its work contour surface is a developable ruled surface, and the generatrix of the surface always pass through the spherical center of the cam. So it is easy to manufacture the cam. ②The contact line of the cam and roller is a straight line. ③At all points on the contact line, the cam and roller are in continuous pure rolling contract, and the pressure angles are equal.

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What this paper is about

In this paper,a special spherical surface cam with a conical roller follower is put forward. The apex of the conical roller coincides with the spherical center of the cam. Using the spherical coordinate, author establishes the contour surface equa tion and pressure angle formula of the cam. Which provides the oretical basis for the design and NC processing of the cam. The cam has the following advantageous features:①Its work contour surface is a developable ruled surface, and the generatrix of the surface always pass through the spherical center of the cam. So it is easy to manufacture the cam. ②The contact line of the cam and roller is a straight line. ③At all points on the contact line, the cam and roller are in continuous pure rolling contract, and the pressure angles are equal.

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Available abstract

In this paper,a special spherical surface cam with a conical roller follower is put forward. The apex of the conical roller coincides with the spherical center of the cam. Using the spherical coordinate, author establishes the contour surface equa tion and pressure angle formula of the cam. Which provides the oretical basis for the design and NC processing of the cam. The cam has the following advantageous features:①Its work contour surface is a developable ruled surface, and the generatrix of the surface always pass through the spherical center of the cam. So it is easy to manufacture the cam. ②The contact line of the cam and roller is a straight line. ③At all points on the contact line, the cam and roller are in continuous pure rolling contract, and the pressure angles are equal.

Key concepts: Generatrix, Conical surface, Pressure angle, Surface (topology), Ruled surface, Line (geometry), Spherical coordinate system, Geometry

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