Detachment Detection in Cam Follower System Due to Nonlinear Dynamics Phenomenon

Abstract

The detachment between the cam and the follower was investigated for different cam speeds (N) and different internal distance of the follower guide from inside (I.D.). The detachment between the cam and the follower were detected using largest Lyapunov exponent parameter, power density function of Fast Fourier Transform (FFT), and Poincare’ maps due to the nonlinear dynamics phenomenon of the follower. The follower displacement and the contact force between the cam and the follower were used in the detection of the detachment heights. Multi-degrees of freedom (spring-damper-mass) systems at the very end of the follower were used to improve the dynamic performance and to reduce the detachment between the cam and the follower. Nonlinear response of the follower displacement was calculated at different cam speeds, different coefficient of restitution, different contact conditions, and different internal distance of the follower guide from inside. SolidWorks program was used in the numerical solution while high speed camera at the foreground of the OPTOTRAK 30/20 equipment was used to catch the follower position. The friction and impact were considered between the cam and the follower and between the follower and its guide. The peak of nonlinear response of the follower displacement was reduced to (15%, 32%, 45%, and 62%) after using multiple degrees of freedom systems.

An Integrated Co-Design Optimization Toolchain Applied to a Conjugate Cam-Follower Drivetrain System

“…They can be understood as transformation mechanisms that convert the rotational motion of a driver component (cam) into a desired oscillating motion of another body (follower) by direct contact. Many fields of application can be found in the literature [25][26][27][28], from heavy to lightweight machines:…”

“…The complete toolchain is demonstrated on an industrially relevant conjugate camfollower drivetrain. Cam-follower mechanisms are widely used in industry in many types of applications [25][26][27][28] because of their peculiar properties of transforming a given input motion into a desired one in the output. Many different types of cam designs have been studied in the literature depending on the application and requirements [29].…”

Effect of Different Material Properties on the Nonlinear Dynamics Phenomenon of Cam-Follower Mechanism

“…Due to the nonlinear dynamics phenomenon, the largest Lyapunov exponent, the power spectrum of Fast Fourier Transform (FFT), Poincare' map are discussed by Yousuf to investigate the detachment between the cam and the follower. The response of the follower is calculated at different coefficients of restitution, different cam speeds, and different follower Guides' clearaances [2]. By taking into consideration the coefficient of restitution, Sundar et al analyzed the model of nonlinear contact damping and contact stiffness of single degree of freedom system [3].…”

Nonlinear Dynamics Phenomenon in a Polydyne Cam with an Offset Flat Faced Follower Mechanism with Clearance

“…Yousuf studied the detachment between the cam and the follower using largest Lyapunov exponent parameter, power density function of Fast Fourier Transform (FFT), and Poincare' maps due to the nonlinear dynamics phenomenon of the follower. Nonlinear response of the follower displacement is calculated at different cam speeds, different coefficient of restitution, different contact conditions, and different internal distance of the follower guide from inside [2,3]. Flores et al used a nonsmooth dynamics approach to model the interaction of the colliding bodies using Coulomb's law for dry friction [4].…”