Developing a New Constitutive Model of High Damping Rubber by Combining GRU and Attention Mechanism

High damping rubber (HDR) bearings are extensively used in seismic design for bridges due to their remarkable energy dissipation capabilities, which is critical during earthquakes. A thorough assessment of crucial factors such as temperature, rate, experienced maximum amplitude, and the Mullins effe...

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Main Authors: Feng Li, Tianbo Peng
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/16/5/567
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author Feng Li
Tianbo Peng
author_facet Feng Li
Tianbo Peng
author_sort Feng Li
collection DOAJ
description High damping rubber (HDR) bearings are extensively used in seismic design for bridges due to their remarkable energy dissipation capabilities, which is critical during earthquakes. A thorough assessment of crucial factors such as temperature, rate, experienced maximum amplitude, and the Mullins effect of HDR on the mechanics-based constitutive model of HDR is lacking. To address this issue, we propose a deep learning approach that integrates the Gate Recurrent Unit (GRU) and attention mechanism to identify time series characteristics from compression-shear test data of HDR specimens. It is shown that the combination of GRU and attention mechanism enables accurate prediction of the mechanical behavior of HDR specimens. Compared to the sole use of GRU, this suggested method significantly reduces model complexity and computation time while maintaining good prediction performance. Therefore, it offers a new approach to constructing the HDR constitutive model. Finally, the HDR constitutive model was used to analyze the impact of experienced maximum amplitudes and cycles on following processes. It was observed that maximum amplitudes directly influence the stress-strain relationship of HDR during subsequent processes. Consequently, a solid foundation is laid for evaluating the responses of HDR bearings under earthquakes.
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spelling doaj.art-59023ef9e875470e947fa0d54e9a197d2024-03-12T16:53:15ZengMDPI AGPolymers2073-43602024-02-0116556710.3390/polym16050567Developing a New Constitutive Model of High Damping Rubber by Combining GRU and Attention MechanismFeng Li0Tianbo Peng1College of Civil Engineering, Tongji University, Shanghai 200092, ChinaCollege of Civil Engineering, Tongji University, Shanghai 200092, ChinaHigh damping rubber (HDR) bearings are extensively used in seismic design for bridges due to their remarkable energy dissipation capabilities, which is critical during earthquakes. A thorough assessment of crucial factors such as temperature, rate, experienced maximum amplitude, and the Mullins effect of HDR on the mechanics-based constitutive model of HDR is lacking. To address this issue, we propose a deep learning approach that integrates the Gate Recurrent Unit (GRU) and attention mechanism to identify time series characteristics from compression-shear test data of HDR specimens. It is shown that the combination of GRU and attention mechanism enables accurate prediction of the mechanical behavior of HDR specimens. Compared to the sole use of GRU, this suggested method significantly reduces model complexity and computation time while maintaining good prediction performance. Therefore, it offers a new approach to constructing the HDR constitutive model. Finally, the HDR constitutive model was used to analyze the impact of experienced maximum amplitudes and cycles on following processes. It was observed that maximum amplitudes directly influence the stress-strain relationship of HDR during subsequent processes. Consequently, a solid foundation is laid for evaluating the responses of HDR bearings under earthquakes.https://www.mdpi.com/2073-4360/16/5/567high damping rubberconstitutive modeltime series characteristicGRUattention mechanism
spellingShingle Feng Li
Tianbo Peng
Developing a New Constitutive Model of High Damping Rubber by Combining GRU and Attention Mechanism
Polymers
high damping rubber
constitutive model
time series characteristic
GRU
attention mechanism
title Developing a New Constitutive Model of High Damping Rubber by Combining GRU and Attention Mechanism
title_full Developing a New Constitutive Model of High Damping Rubber by Combining GRU and Attention Mechanism
title_fullStr Developing a New Constitutive Model of High Damping Rubber by Combining GRU and Attention Mechanism
title_full_unstemmed Developing a New Constitutive Model of High Damping Rubber by Combining GRU and Attention Mechanism
title_short Developing a New Constitutive Model of High Damping Rubber by Combining GRU and Attention Mechanism
title_sort developing a new constitutive model of high damping rubber by combining gru and attention mechanism
topic high damping rubber
constitutive model
time series characteristic
GRU
attention mechanism
url https://www.mdpi.com/2073-4360/16/5/567
work_keys_str_mv AT fengli developinganewconstitutivemodelofhighdampingrubberbycombininggruandattentionmechanism
AT tianbopeng developinganewconstitutivemodelofhighdampingrubberbycombininggruandattentionmechanism