Investigation of chaos in a polydyne cam with flat-faced follower mechanism

Abstract

In this paper, the chaotic analysis is predicted based on the non-periodic motion of the follower. Non-periodic motion of the follower has been investigated by using the conception of Lyapunov exponent parameter. Wolf algorithm is used to quantify largest Lyapunov exponent parameter. The impact between the cam, follower and the two guides is occurred due to the impulse and momentum phenomenon. The effect of internal dimension of the follower guide on the follower non-periodicity is considered at distinct angular velocity of the cam. Positive value of Lyapunov exponent parameter indicates to non-periodic motion for the follower. The numerical simulation has been done by using SolidWorks software. Follower movement is processed experimentally through an infrared 3-D camera device with a high precision optical sensor. The non-periodic motion of the follower is increased with the increasing of internal dimension of the follower guide at cam angular velocity (N = 1200 and 1500) rpm.

Keywords

• Non-periodic motion
• Lyapunov parameter
• Phase-plane diagram
• Power spectrum analysis
• Chaotic phenomenon