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Data-driven identification-free approach for nonlinear structural dynamics

delete2025-04-17
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PRE
AI
J
Jessé Paixão
A
Auriane Platzer *
J
Jonathan Rodriguez
L
Louis Mesny
N
Nawfal Blal
S
Sébastien Baguet
DOI:10.1007/s11071-025-11163-7delete
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Abstract

Abstract

En 中文
In the field of structural dynamics, accurately identifying and simulating nonlinear structures represents a significant challenge due to the inherent complexity of the phenomena involved. The traditional model-based approach, whether physics-oriented or data-driven, is inherently susceptible to epistemic uncertainties associated with the modeling and identification process. This work presents an alternative data-driven identification-free approach, inspired by the recently proposed data-driven computational mechanics (DDCM) paradigm. Unlike traditional model-based approaches that require explicit models of restoring forces for numerical integration, the proposed approach enables the simulation of nonlinear dynamical systems directly from measured restoring force datasets by formulating it as a double distance minimization between the dataset and discrete dynamic equilibrium constraints. In this study, we present the formulation and proof-of-concept of a novel data-driven solver based on a restoring force dataset to address nonlinearities in structural dynamics problems. A comprehensive numerical study of a Duffing oscillator with symmetric nonlinearity demonstrates the high prediction accuracy of the data-driven solver. The experimental application of the data-driven solver is also demonstrated for a Hybrid Nonlinear Energy Sink (HNES).
Keywords:
Data-driven computational mechanics
Restoring force
Data-driven solver
Hybrid nonlinear energy sink

Journal

Nonlinear Dynamics cover
Nonlinear Dynamics
IF:
6
Papers:
1.4W
Citations:
4.1W

Organization

I
INSA Lyon
Scholars:
80
Papers: 41
Citations: 3
U
Univ Toulouse
Scholars:
1.3K
Papers: 525
Citations: 205
Cited Papers

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