Optimization of Planar Cam Mechanisms with Roller-Followers

Abstract

The approach introduced in Chapter 4 for the optimization of cam mechanisms with flat-face followers is now extended to roller-followers, solid models of which are shown in Figs. 5.1.1 and 5.1.2. The optimization of this type of mechanism has been reported in the literature. In fact, Sermon and Liniecki (1972) treated the problem of cam-size minimization for roller-followers under cycloidal, harmonic, and eighth-order polynomial motions, while Terauchi and El-Shakery (1983) presented the cam-size minimization of roller-follower cam mechanisms, under contact stress constraints. Additionally, Guoxun et al. (1988) introduced a unified approach, applicable to both internal and external indexing cam mechanisms with oscillating roller-followers. Angeles and López-Cajún (1984b, 1988) showed that the cam-size minimization problem for oscillating followers, whether of the flat-face or the roller type, reduces to the solution of a quartic equation. Below we expand the methods proposed in the last two references, in a unified framework, in line with the methods delineated in Chapter 4.KeywordsMinimum RadiusPressure AngleQuartic EquationRoller RadiusRise PhaseThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.