Use of Bézier curves in the design of the displacement law of the cam-follower mechanism: Von Mises effective Stress
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Acevedo Peñaloza, Carlos Humberto | 2020-07-01
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.
LEER