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20162026
most citedA Quadratic Manifold for Model Order Reduction of Nonlinear Structural Dynamics

166 citations · 402 across the 16 of their papers we have counts for

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math.DS2024

Data-Driven Reduction of the Finite-Element Model of a Tribomechadynamics Benchmark Problem

Ahmed Amr Morsy, Zhenwei Xu, Paolo Tiso +1

Bolted joints can exhibit nonsmooth and significantly nonlinear dynamics. Finite Element Models (FEMs) of this phenomenon require fine spatial discretizations, inclusion of nonline…

math.DS2017★ 78 cited

Exact Nonlinear Model Reduction for a von Karman beam: Slow-Fast Decomposition and Spectral Submanifolds

Shobhit Jain, Paolo Tiso, George Haller

We apply two recently formulated mathematical techniques, Slow-Fast Decomposition (SFD) and Spectral Submanifold (SSM) reduction, to a von Karman beam with geometric nonlinearities…