94 citations · 127 across the 5 of their papers we have counts for
6 papers
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…
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…
Analytic Prediction of Isolated Forced Response Curves from Spectral Submanifolds
Sten Ponsioen, Tiemo Pedergnana, George Haller
We show how spectral submanifold theory can be used to provide analytic predictions for the response of periodically forced multi-degree-of-freedom mechanical systems. These predic…
Automated Computation of Autonomous Spectral Submanifolds for Nonlinear Modal Analysis
Sten Ponsioen, Tiemo Pedergnana, George Haller
We discuss an automated computational methodology for computing two-dimensional spectral submanifolds (SSMs) in autonomous nonlinear mechanical systems of arbitrary degrees of free…
Exact Model Reduction by a Slow-Fast Decomposition of Nonlinear Mechanical Systems
George Haller, Sten Ponsioen
We derive conditions under which a general nonlinear mechanical system can be exactly reduced to a lower-dimensional model that involves only the most flexible degrees of freedom.…
Nonlinear normal modes and spectral submanifolds: Existence, uniqueness and use in model reduction
George Haller, Sten Ponsioen
We propose a unified approach to nonlinear modal analysis in dissipative oscillatory systems. This approach eliminates conflicting definitions, covers both autonomous and time-depe…