Data-Driven Dynamic Friction Models based on Recurrent Neural Networks

Fuente: arXiv
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Autores principales: Cortes, Gaëtan, Garcia-Suarez, Joaquin
Formato: Preprint
Publicado: 2024
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author Cortes, Gaëtan
Garcia-Suarez, Joaquin
author_facet Cortes, Gaëtan
Garcia-Suarez, Joaquin
contents In this concise contribution, it is demonstrated that Recurrent Neural Networks (RNNs) based on Gated Recurrent Unit (GRU) architecture, possess the capability to learn the complex dynamics of rate-and-state friction (RSF) laws from synthetic data. The data employed for training the network is generated through the application of traditional RSF equations coupled with either the aging law or the slip law for state evolution. A novel aspect of this approach is the formulation of a loss function that explicitly accounts for the direct effect by means of automatic differentiation. It is found that the GRU-based RNNs effectively learns to predict changes in the friction coefficient resulting from velocity jumps (with and without noise in the target data), thereby showcasing the potential of machine learning models in capturing and simulating the physics of frictional processes. Current limitations and challenges are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2402_14148
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Data-Driven Dynamic Friction Models based on Recurrent Neural Networks
Cortes, Gaëtan
Garcia-Suarez, Joaquin
Geophysics
Machine Learning
In this concise contribution, it is demonstrated that Recurrent Neural Networks (RNNs) based on Gated Recurrent Unit (GRU) architecture, possess the capability to learn the complex dynamics of rate-and-state friction (RSF) laws from synthetic data. The data employed for training the network is generated through the application of traditional RSF equations coupled with either the aging law or the slip law for state evolution. A novel aspect of this approach is the formulation of a loss function that explicitly accounts for the direct effect by means of automatic differentiation. It is found that the GRU-based RNNs effectively learns to predict changes in the friction coefficient resulting from velocity jumps (with and without noise in the target data), thereby showcasing the potential of machine learning models in capturing and simulating the physics of frictional processes. Current limitations and challenges are discussed.
title Data-Driven Dynamic Friction Models based on Recurrent Neural Networks
topic Geophysics
Machine Learning
url https://arxiv.org/abs/2402.14148