Nonlinear dynamics behavior of cam-follower system using concave curvatures profile

Abstract

Nonlinear dynamics behavior of the roller follower is discussed for different follower guides’ internal dimensions and cam angular speeds. A dynamic tool such as Wolf algorithm is used to extract largest Lyapunov exponent parameter. Positive value of Lyapunov exponent parameter indicates non-periodic motion and chaos. The influence of flank curvature of the cam profile on the nonlinear dynamic behavior of the roller follower is investigated. Impulse and momentum theory is used to describe the impact phenomenon based on the contact force between the follower and its guides. Contact parameters such as exponent, sliding contact velocity, contact bodies stiffness, penetration, and damping ratio are used in SolidWorks software to simulate follower movement numerically. Experiment setup has been done by taking into consideration the use of an infrared three-dimensional camera device through a high precision optical sensor. The follower motion is non-periodic when the cross-linking of phase-plane diagram diverges with no limit of spiral cycles.

Detachment Detection in Cam Follower System Due to Nonlinear Dynamics 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.). They concluded that the follower motion is non-periodic when the cross-linking of the phase-plane diagram diverges with no limit of spiral cycles by taking into consideration the impact through impulse and momentum theory, [11]. This study is an extension of previous studies in the field of nonlinear dynamics phenomenon in cam follower system.…”

Non-periodic motion reduction in globoidal cam with roller follower mechanism

“…The follower displacement is processed using MatLab software. 16 The value of the spring stiffness (k) between the follower and the installation table can be calculated from load-deflection diagram experimentally, as indicated in Figure 4. The results of applied load against spring deflection in Figure 4 is obtained from the experiment test.…”

“…All the springs and viscous damping coefficients have the same values in which (k 1 ¼ k 2 ¼ k 3 ¼ k 4 ¼ 7 N/mm), and the viscous damping coefficient (c 1 ¼ c 2 ¼ c 3 ¼ c 4 ¼ 0.875 N.s/mm). The spring with the elastic constant (k ¼ 38.0611 N/mm), and the preload extension (D ¼ 37 mm) 16 is added between the installation table and the follower stem since it absorbs the energy of the spiral orbits of the follower movement. SolidWorks software is used in the simulation of multi degrees of freedom system.…”