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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.DS2024
Nonlinear Model Reduction to Random Spectral Submanifolds in Random Vibrations
Zhenwei Xu, Roshan S. Kaundinya, Shobhit Jain +1
Dynamical systems in engineering and physics are often subject to irregular excitations that are best modeled as random. Monte Carlo simulations are routinely performed on such ran…