Nonlinear dynamics investigation of contact force in cam–follower system using Lyapunov exponent parameter, power spectrum analysis, and poincare’ maps

Abstract

ABSTRACT Non-linear-linear dynamics behaviour of the contact force is investigated for different cam angular speeds (N) and different internal dimensions of the follower guide (F.G.I.D.). The largest Lyapunov exponent parameter conception is used to detect whether the follower will detach from the cam or the follower will stay in permanent contact. Power spectrum analysis and Poincaré maps with a phase-plane diagram are added to detect the non-periodic motion of the contact force. The follower is moved with three degrees of freedom. Multi degrees of freedom (spring-damper-mass) systems are added at the end of the follower stem to suppress the non-linear dynamics behaviour of the contact force of the follower. SolidWorks software is used in the numerical simulation of the contact force. Contact force and follower displacement are determined at the different coefficient of restitution values. The friction and impact are considered between the cam and the follower and between the follower and its guide. The contact force is measured experimentally using OPTOTRACK/3020 by tracking the position of the follower through an infrared camera device. The value of the contact force has declined with the increase of cam angular speeds (N) and the internal dimension of the follower guide (F.G.I.D.). The peak of non-linear response of the follower displacement is reduced to 15%, 32%, 45%, and 62% after using multi degrees of freedom systems.