166 citations · 729 across the 17 of their papers we have counts for
3 papers · 1 filter
Data-Assisted Non-Intrusive Model Reduction for Forced Nonlinear Finite Elements Models
Mattia Cenedese, Jacopo Marconi, George Haller +1
Spectral submanifolds (SSMs) have emerged as accurate and predictive model reduction tools for dynamical systems defined either by equations or data sets. While finite-elements (FE…
Fast computation and characterization of forced response surfaces via spectral submanifolds and parameter continuation
Mingwu Li, Shobhit Jain, George Haller
For mechanical systems subject to periodic excitation, forced response curves (FRCs) depict the relationship between the amplitude of the periodic response and the forcing frequenc…
Nonautonomous Spectral Submanifolds for Model Reduction of Nonlinear Mechanical Systems under Parametric Resonance
Thomas Thurnher, George Haller, Shobhit Jain
We use the recent theory of Spectral Submanifolds (SSM) for model reduction of nonlinear mechanical systems subject to parametric excitations. Specifically, we develop expressions…