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Transformer self-attention encoder–decoder with multimodal deep learning for response time series forecasting and digital twin support in wind structural health monitoring

Feiyu Zhou, Marios Impraimakis

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Abstract

The wind-induced structural response forecasting capabilities of a novel transformer methodology are examined here. The model also provides a digital twin component for bridge structural health monitoring. Firstly, the approach uses the temporal characteristics of the system to train a forecasting model. Secondly, the vibration predictions are compared to the measured ones to detect large deviations. Finally, the identified cases are used as an early-warning indicator of structural change. The artificial intelligence-based model outperforms approaches for response forecasting as no assumption on wind stationarity or on structural normal vibration behavior is needed. Specifically, wind-excited dynamic behavior suffers from uncertainty related to obtaining poor predictions when the environmental or traffic conditions change. This results in a hard distinction of what constitutes normal vibration behavior. To this end, a framework is rigorously examined on real-world measurements from the Hardanger Bridge monitored by the Norwegian University of Science and Technology. The approach captures accurate structural behavior in realistic conditions, and with respect to the changes in the system excitation. The results, importantly, highlight the potential of transformer-based digital twin components to serve as next-generation tools for resilient infrastructure management, continuous learning, and adaptive monitoring over the system’s lifecycle with respect to temporal characteristics.
Original languageEnglish
Article number108216
Number of pages21
JournalComputers and Structures
Volume326
Early online date2 Apr 2026
DOIs
Publication statusE-pub ahead of print - 2 Apr 2026

Data Availability Statement

All data used in this study are openly available at https://doi.org/10.21400/5ng8980s

Acknowledgements

The authors would like to gratefully acknowledge the University of Bath for providing access to the computing resources of the dual-GPU workstation (2 × NVIDIA RTX 6000 Ada, 48 GB each, CUDA 12.4).

Funding

The authors would like to gratefully acknowledge the Norwegian University of Science and Technology structural health monitoring group for providing the data, and the University of Bath for providing access to the computing resources of the dual-GPU workstation (2 × NVIDIA RTX 6000 Ada, 48 GB each, CUDA 12.4).

FundersFunder number
Norges Teknisk-Naturvitenskapelige UniversitetCUDA 12.4

    UN SDGs

    This output contributes to the following UN Sustainable Development Goals (SDGs)

    1. SDG 7 - Affordable and Clean Energy
      SDG 7 Affordable and Clean Energy
    2. SDG 9 - Industry, Innovation, and Infrastructure
      SDG 9 Industry, Innovation, and Infrastructure
    3. SDG 11 - Sustainable Cities and Communities
      SDG 11 Sustainable Cities and Communities
    4. SDG 13 - Climate Action
      SDG 13 Climate Action

    Keywords

    • Transformer neural networks
    • Transformer encoder–decoder
    • Multimodal deep learning
    • Self-attention mechanisms
    • Time-series forecasting
    • Sequence-to-sequence learning
    • Autoregressive prediction
    • Cross-modal attention
    • Temporal attention
    • Deep learning forecasting
    • Foundation models for SHM
    • Structural health monitoring
    • Bridge SHM
    • Wind–structure interaction monitoring
    • Vibration-based SHM
    • Damage detection
    • Anomaly detection
    • Early-warning structural monitoring
    • Digital twin
    • Data-driven SHM
    • Nonlinear structural response modelling
    • Environmental and operational variability compensation
    • Wind-induced vibrations
    • Wind excitation forecasting
    • Turbulent wind field simulation
    • Wind–bridge interaction
    • Aerodynamic loading
    • Theodorsen model
    • Flutter derivatives
    • Buffeting response
    • Wind turbulence modelling
    • Atmospheric boundary layer modelling
    • Suspension bridges
    • Hardanger Bridge dataset
    • Long-span bridge monitoring
    • Bridge dynamics
    • Structural response prediction
    • Infrastructure digital twins
    • Resilient infrastructure systems
    • Multi-sensor fusion
    • Accelerometer time-series
    • Anemometer data
    • High-frequency sensor data
    • signal processing
    • Outlier detection
    • Noise reduction
    • Modal energy retention
    • Power spectral density (PSD) analysis
    • Frequency-domain response
    • Artificial intelligence
    • machine learning
    • Physics-informed machine learning
    • Data-driven modelling
    • Deep transformers
    • Cross-modal AI
    • Hybrid physics–AI models
    • Time-evolving digital twin
    • Real-time digital twin
    • AI-enhanced digital twin
    • Predictive maintenance
    • Virtual sensing
    • Continuous learning models
    • Condition monitoring
    • Structural response forecasting
    • Vibration prediction
    • Modal energy preservation
    • Tail-risk reduction
    • False alarm reduction
    • Operational condition variability
    • Localised damage detection
    • Infrastructure resilience
    • Deep one-dimensional multimodal transformer neural network
    • Bridge structural health monitoring
    • Digital twin component
    • Artificial intelligence time-series learning
    • Fault anomaly detection

    ASJC Scopus subject areas

    • Artificial Intelligence
    • Signal Processing
    • Computer Vision and Pattern Recognition
    • Computer Science(all)
    • Decision Sciences(all)
    • Aerospace Engineering
    • Engineering(all)
    • Civil and Structural Engineering
    • Computational Mechanics
    • Mechanical Engineering
    • Modelling and Simulation
    • Instrumentation
    • Software
    • Information Systems
    • Statistics and Probability
    • General Materials Science
    • Computer Science Applications

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