Use of Bézier curves in the design of the displacement law of the cam-follower mechanism: Von Mises effective Stress
Carlos Humberto Acevedo-Peñaloza- Sergio Andrés Ramón-Ramón
- Victor Jhoel Bustos-Urbano
Published 2020-07-27
Keywords
- Bezier curves,
- cam design,
- distortion energy,
- Von Mises stress,
- cam-follower mechanism
- Bernstein base polynomials,
- contact theory ...More
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Copyright (c) 2020 Revista UIS Ingenierías
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
Abstract
D
Designing cams by Bézier Curves has become increasingly common, since the mathematical development of this method is less complex. Bezier curves are Bernstein-based polynomials under a unitary domain, and in that sense, this article presents the design of a cam using Bezier curves of degrees 5, 7 and 9. And beyond, this article seeks to show the variation of the effective effort of Von Mises in a cam-follower mechanism composed of a disc cam and a roller follower with translation movement and force closure. The expressions that allow determining the variation of Von Mises' effort for each of the curves used are presented. This variation is presented by means of graphs in which it is observed that as the degree of the curve increases, the magnitude of the efforts is greater, and this increases the probability of failure in the mechanisms. In addition, it was found that there is an inverse relationship between the stress and the radius of the primary circle of the cam.
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