Nonlinear dynamics phenomena in globoidal cam with roller follower mechanism

Abstract

• A multi degrees of freedom systems are used to suppress the spiral orbits of the nonlinear dynamics phenomena of the follower movement. • Linear and nonlinear spring-damper systems are used to suppress the nonlinear dynamics phenomena. • An OPTOTRAK/3020 with an infrared camera device is used to track the follower position experimentally. • A bifurcation diagram is used to detect the non-periodic motion of the follower movement. • Nonlinear dynamic response of the follower movement is calculated using the theory of mechanical vibration . This paper study the nonlinear dynamics phenomena in a globoidal cam and roller follower mechanism. The influence of internal dimension of the follower guide (F.G.I.D.) and cam angular speeds (N) on the nonlinear dynamics behavior are considered. Power spectrum analysis, phase-plane mapping and Largest Lyapunov exponent parameter are used to investigate the non-periodic motion of the follower. A multi degrees of freedom of (spring-damper-mass system) are used to suppress the spiral orbits of the nonlinear dynamics phenomena for the follower movement. Nonlinear dynamic response of the follower movement is calculated using the theory of mechanical vibration. Linear and nonlinear spring-damper systems are used to suppress the nonlinear dynamics phenomena. A bifurcation diagram is used to detect the non-periodic motion of the follower movement. A numerical simulation is done using SolidWorks software. An OPTOTRAK/3020 with an infrared camera device is used to track the follower position experimentally. The peak of nonlinear response of the roller follower is reduced by (20.89 % , 47.76 % , 58.2 % , 67.16 % ) after using multi degrees of freedom systems.