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

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Auteurs principaux:	Morsy, Ahmed Amr, Xu, Zhenwei, Tiso, Paolo, Haller, George
Format:	Preprint
Publié:	2024
Sujets:	Dynamical Systems
Accès en ligne:	Acceder al recurso
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_version_	1866929653204123648
author	Morsy, Ahmed Amr Xu, Zhenwei Tiso, Paolo Haller, George
author_facet	Morsy, Ahmed Amr Xu, Zhenwei Tiso, Paolo Haller, George
contents	Bolted joints can exhibit nonsmooth and significantly nonlinear dynamics. Finite Element Models (FEMs) of this phenomenon require fine spatial discretizations, inclusion of nonlinear contact and friction laws, as well as geometric nonlinearity. Owing to the nonlinearity and high dimensionality of such models, full-order dynamic simulations are computationally expensive. In this work, we use the theory of Spectral Submanifolds (SSMs) to construct a data-driven, smoothed reduced model for a 187,920-dimensional FEM model of a broadly studied Tribomechadynamics benchmark structure with bolted joints. We train the 4-dimensional reduced model using only a few transient trajectories of the full unforced FEM model. We show that this smooth model accurately predicts the experimentally observed nonlinear forced response of the full nonsmooth benchmark problem.
format	Preprint
id	arxiv_https___arxiv_org_abs_2409_05012
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Data-Driven Reduction of the Finite-Element Model of a Tribomechadynamics Benchmark Problem Morsy, Ahmed Amr Xu, Zhenwei Tiso, Paolo Haller, George Dynamical Systems Bolted joints can exhibit nonsmooth and significantly nonlinear dynamics. Finite Element Models (FEMs) of this phenomenon require fine spatial discretizations, inclusion of nonlinear contact and friction laws, as well as geometric nonlinearity. Owing to the nonlinearity and high dimensionality of such models, full-order dynamic simulations are computationally expensive. In this work, we use the theory of Spectral Submanifolds (SSMs) to construct a data-driven, smoothed reduced model for a 187,920-dimensional FEM model of a broadly studied Tribomechadynamics benchmark structure with bolted joints. We train the 4-dimensional reduced model using only a few transient trajectories of the full unforced FEM model. We show that this smooth model accurately predicts the experimentally observed nonlinear forced response of the full nonsmooth benchmark problem.
title	Data-Driven Reduction of the Finite-Element Model of a Tribomechadynamics Benchmark Problem
topic	Dynamical Systems
url	https://arxiv.org/abs/2409.05012

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