Fast computation and characterization of forced response surfaces via spectral submanifolds and parameter continuation

• Published in: arXiv.org
• Main Authors: Li, Mingwu, Jain, Shobhit, Haller, George
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 23.10.2023
• Subjects: Amplitudes; Manifolds (mathematics); Mathematics - Dynamical Systems; Mechanical systems; Nonlinear systems; Optimization; Reduced order models; Resonance; Response surface methodology; Ridges; Shallow shells; Trenches

For mechanical systems subject to periodic excitation, forced response curves (FRCs) depict the relationship between the amplitude of the periodic response and the forcing frequency. For nonlinear systems, this functional relationship is different for different forcing amplitudes. Forced response su...