On the Escape of a Resonantly Excited Couple of Colliding Particles from a Potential Well under Bi-harmonic Excitation

Escape dynamics of a damped two-particle system with internal collisions in a truncated quadratic potential well under biharmonic excitation is investigated. It is assumed that the excitation frequencies are tuned to the 2l-fold values of the modal natural frequency of the relative motion and to the modal frequency of the center of mass on the bottom of the potential well. Although the escape is an essentially non-stationary process, the critical forcing amplitude strongly depends on the stationary amplitudes of the relative vibrations within the two particles. The characteristic escape curve for the critical force moves up with the increasing relative vibrations.