Nonlinear dynamic analysis of a cam with flat-faced follower system considering the guide rail impact

Abstract A two-degree-of-freedom cam-follower rod system with guide rail clearance is investigated. The dynamic response of a follower rod impact guide subjected to two distinct types of external forces is systematically investigated employing nonlinear dynamics methodologies. A comparative analysis is conducted on the transition dynamics between adjacent motion states 1-0- q and 1-0-( q +1) ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>q</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>0</mml:mn> </mml:math> ), with particular focus on their bifurcation characteristics and phase-space evolution. The coexistence properties of the periodic motion 1-0- q with the neighboring motions 1-0-( q +1) and the subharmonic motions 2-0-2( q +1), 2-0-(2 q +1), 2-0-2 q , etc occurring in the hysteresis transitive domains due to the difference in initial values are revealed. The evolution mechanism of coexisting attractors in multistable systems is investigated, and it is concluded that the reconstruction of the topology of the attractor domain mainly originates from the saddle-node bifurcation and the grazing bifurcation, while the period-doubling bifurcation does not have a significant effect on the morphology of the attractor domain. It is shown that the impact between the follower rod and the guide rail is positively correlated with the cam rotation speed and preload, and negatively correlated with the contact stiffness and contact damping, i.e., the impact mode shifts from the n -0- q type to the n-p - q ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>p</mml:mi> <mml:mo>≠</mml:mo> <mml:mn>0</mml:mn> </mml:math> ) type as the rotation speed and the preload increase, but the shift of the impact mode is reversed with the increase of the contact stiffness and the contact damping. And the conclusion provides a reference to the system for the diagnosis of the big data and the collaborative optimization.