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.
Highlights
Follower displacement and the contact force are criteria to the detachment and separation between the cam and the follower at high speeds based on the nonlinear dynamic analysis conception
Largest Lyapunov exponent parameter using average logarithmic divergence, power density function using Fast Fourier transform, and Poincare’ maps are investigated to detect the detachment in nonlinear dynamic phenomenon
Yousuf and Marghitu studied the influence of flank curvature of the cam profile on the nonlinear dynamic behavior of the roller follower at different cam speeds (N) and different follower guides’ internal dimensions (F.G.I.D.)
Summary
Follower displacement and the contact force are criteria to the detachment and separation between the cam and the follower at high speeds based on the nonlinear dynamic analysis conception. The detachment between the cam and the follower is investigated based on follower displacement and the contact force at different cam speeds (N) and different internal distance of the follower guide from inside (I.D.). The variation of the contact force against time is used in the Lyapunov exponent parameter code to detect for the detachment between the cam and the follower.
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