Impulsive Control of a Cam-Follower Oblique-Impact System

Abstract

The transient impact hypothesis was extended, and the oblique collision model was established by considering the tangential slip. In order to solve this problem, the oblique-impact equations for cam-follower were transformed into a linear complementarity problem. Impulsive control method was employed to control or anti-control the nonlinear responses. The simulation results show that the cam-follower system performs very complex nonlinear characteristics, such as period, quasi-period and chaos responses. Using the impulsive control method, the nonlinear responses of the cam-follower system can be controlled to P(n, n) and P(∞, n) or anti-controlled to chaos.

Non-periodic motion reduction in globoidal cam with roller follower mechanism

“…11 A phase-plane diagram and Poincare’ section were used by Lu to predict a non-periodic motion and chaos. 12 Non-periodic motion of the roller follower was investigated using Lyapunov exponent parameter. 13 The values of largest Lyapunov parameter was analyzed numerically and experimentally at distinct cam angular speeds.…”

Nonlinear dynamics behavior of cam-follower system using concave curvatures profile

“…8 A phase-plane diagram and bifurcation analysis have been used to predict a non-periodic motion and chaos in state space domain. 9 The values of largest Lyapunov parameter are analyzed numerically and experimentally at distinct cam angular speeds and different follower guides' clearances. 10,11 In our previous research, the polydyne cam and roller follower are used (straight line between the nose and the base circle).…”