Explicit dynamics finite element analysis for parametrically excited motion of a cantilevered beam

The explicit dynamics finite element analysis approach has been used successfully for the prediction of short-time, large-deformation transient response. In this paper, this approach is applied for the prediction of steady-state, large-deformation transient response - in particular, for the transverse response of a thin cantilevered beam subjected to axial parametric base excitation of the first mode. Results were compared to experimental results available in the literature. The frequency response predicted by the explicit dynamics approach is remarkably consistent with the experimental frequency response. Guidelines are suggested for the applied load time step and modal damping, which were noted as critical variables. Current limitations are identified in the commercial software that need to be circumvented to allow application for nonlinear structural response over a broader frequency range.