The Influence of Imperfections on the Spatio-Temporal Dynamics of a Parametrically Excited Nonlinear Viscoelastic Micro-Beam-String

Abstract

A parametrically excited visco-elastic micro-beam-string in an asymmetric dual gap configuration is considered asymptotically and numerically to investigate of the influence of imperfections on its spatio-temporal dynamics. A reconstitution multiple-scales analysis near a one-to-one internal resonance reveals a bifurcation structure that includes coexisting solutions and conditions for orbital loss of stability of a period-doubled solution culminating with non-stationary dynamics.