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math.DS2019
Exact Model Reduction and Fast Forced Response Calculation in High-Dimensional Nonlinear Mechanical Systems
Sten Ponsioen, George Haller
We show how spectral submanifold (SSM) theory can be used to extract forced-response curves, including isolas, without any numerical simulation in high-degree-of-freedom, periodica…
math.DS2019★ 33 cited
Explicit Third-Order Model Reduction Formulas for General Nonlinear Mechanical Systems
Zsolt Veraszto, Sten Ponsioen, George Haller
For general nonlinear mechanical systems, we derive closed-form, reduced-order models up to cubic order based on rigorous invariant manifold results. For conservative systems, the…