2009
DOI: 10.1137/080723867
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Experimental and Numerical Investigation of Coexistence, Novel Bifurcations, and Chaos in a Cam-Follower System

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Cited by 26 publications
(8 citation statements)
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“…Indeed this assumption is often justified because impact events are highly nonlinear phenomena extremely sensitive to irregularities in the impacting materials that are not captured by simple mathematical models. Such stochastic behavior is apparent in experiments of a variety of mechanical systems involving occasional low-velocity impacts (Oestreich et al., 1997; Alzate et al., 2009; Ing et al., 2010), and this motivates the present paper.…”
Section: Discussionmentioning
confidence: 69%
See 1 more Smart Citation
“…Indeed this assumption is often justified because impact events are highly nonlinear phenomena extremely sensitive to irregularities in the impacting materials that are not captured by simple mathematical models. Such stochastic behavior is apparent in experiments of a variety of mechanical systems involving occasional low-velocity impacts (Oestreich et al., 1997; Alzate et al., 2009; Ing et al., 2010), and this motivates the present paper.…”
Section: Discussionmentioning
confidence: 69%
“…Despite the low-dimensionality, such models have been shown to quantitatively match the experimental data of a variety of impacting systems. Examples include a cam-follower system involving occasional detachments between the cam and the follower (Alzate et al., 2007, 2009), a pendulum experiencing near-instantaneous impacts with a solid wall (Piiroinen et al., 2004), and compliant impacts of a steel block with an elastic beam (Ing et al., 2006, 2008, 2010).…”
Section: Introductionmentioning
confidence: 99%
“…In the particular part of equation (2), it can be assumed that the solution has two parts sin(Ot) and cos(Ot) because we will have two constants (C 3 ) and (C 4 ). The particular solution of equation 2is…”
Section: Nonlinear Dynamic Response For the Followermentioning
confidence: 99%
“…10,11 In our previous research, the polydyne cam and roller follower are used (straight line between the nose and the base circle). In this article, the proposed cam has two concave curvatures (flank (1) and flank (2)). The aim of this article is to study the influence of concave curvatures of the cam profile on the nonlinear dynamics behavior for the follower at different follower guides internal dimensions and different cam angular speeds.…”
Section: Introductionmentioning
confidence: 99%
“…Ding et al [12,13] investigated the convergence of the Galerkin method of an elastic beam resting on a nonlinear foundation with viscous damping subject to a moving concentrated load. Alzate [14,15] shows that a sudden transition to chaos is observed in an experimental camfollower by ignoring the tangential friction effect. Considering the effect of tangential friction, Sundar et al [16] studied the linear response of a cam-follower.…”
Section: Introductionmentioning
confidence: 99%