The dynamic regimes of the unsymmetric bistable laminate

Abstract

A dynamic model built theoretically and simulated numerically for an unsymmetric bistable laminate is elucidated, elaborating the dynamic regimes. Peak-to-peak amplitude diagrams being amplitude-frequency and amplitude-force response curves are derived. The single-well vibrations, the limit-cycle oscillations, the multiple-period dynamic snap-through, the chaotic dynamic snap-through and the intermittency dynamic snap-through can be detected. The amplitude-frequency response curves exhibit the softening stiffness effect. The dynamic regimes are correlated with the excitation amplitude and the modal frequencies. Deploying the high-level excitation amplitude and the low-level modal frequency leads to the limit-cycle oscillations. Besides, the single-well vibrations are characterized by the period-doubling bifurcation.