Fig. 2: Model reduction of a von Kármán beam.
From: Globalizing manifold-based reduced models for equations and data
a von Kármán beam with clamped-free boundary conditions. b Trajectory of the unforced system (black) with its order-16 SSM approximation (red) and gSSM-approximation (orange) with a [5/5] and [5/4] Padé approximant. c, d Representation of the end point displacement qend and the full-order trajectory shown in (b) with the SSM and gSSM-reduced trajectories. e, f Forced response defined as the maximal end point displacement due to a forcing amplitude ε = 0.5, 1.7, 2.8. e Shows the SSM-prediction and (f) shows the gSSM prediction. A supplementary animation showing the gSSM-prediction is also available.
