Resonances and Instabilities in Dynamic Systems Incorporating a Cam

Abstract

A model consisting of two oscillators coupled through a kinematic constraint is employed in this paper to investigate resonances and instabilities in dynamic systems incorporating a cam. Examination of linearized motion equations exposes parameters governing system behavior. Explored using numerical integration, Floquet analyis, and approximate methods are coupling-induced modification of conventionally-predicted resonant behavior, and two categories of subharmonic and superharmonic instability. Approximate methods described in this paper for predicting resonances and instabilities appear to function reliably and offer the potential for reduced analysis cost.