Summary
We identify the existence of nonlinear viscoelastic damping in conductive metallic nanowires that are subject to magnetic excitation and investigate its effects on the spatiotemporal dynamical system response. We derive a consistent continuum-based modal dynamical system for a geometrically nonlinear viscoelastic nanowire that is subject to magnetic excitation and employ a combined asymptotic and numerical methodology to estimate the magnitude of viscoelastic damping from controlled benchmark nanowire experiments. The criteria for bistable planar response estimated from experiments enables estimation of the cubic viscoelastic damping parameter for small magnetomotive excitation culminating with the transition to three-dimensional periodic and nonstationary whirling nanowire dynamics with increasing magnitude of excitation.
