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math.DS2018
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…
math.DS2018★ 26 cited
Fast Computation of Steady-State Response for Nonlinear Vibrations of High-Degree-of-Freedom Systems
Shobhit Jain, Thomas Breunung, George Haller
We discuss an integral equation approach that enables fast computation of the response of nonlinear multi-degree-of-freedom mechanical systems under periodic and quasi-periodic ext…