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Modelling and stochastic updating of nonlinear structural joints

Pushpa Pandey, Nidhal Jamia Orcid Logo, Tanmoy Chatterjee Orcid Logo, Hamed Haddad Khodaparast Orcid Logo, Michael Friswell

Mechanical Systems and Signal Processing, Volume: 232, Start page: 112697

Swansea University Authors: Pushpa Pandey, Nidhal Jamia Orcid Logo, Hamed Haddad Khodaparast Orcid Logo, Michael Friswell

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Abstract

This paper presents a novel framework for modelling and stochastic updating of nonlinear systems in structural dynamics, with particular emphasis on joint structures. The key innovation lies in the integration of experimental data, system identification, and probabilistic methods to develop a compre...

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Published in: Mechanical Systems and Signal Processing
ISSN: 0888-3270
Published: Elsevier BV 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa69328
Abstract: This paper presents a novel framework for modelling and stochastic updating of nonlinear systems in structural dynamics, with particular emphasis on joint structures. The key innovation lies in the integration of experimental data, system identification, and probabilistic methods to develop a comprehensive understanding of nonlinear dynamic behaviour. The methodology employs a specialised control system to extract backbone curves, which characterise the system’s fundamental nonlinear response. A data-driven approach is implemented to identify the dominant system dynamics, which is then seamlessly integrated with the control system to create an analytical model. A significant contribution of this work is the development of a stochastic framework that combines the analytical model with measured system responses through probabilistic sampling methods, enabling robust uncertainty quantification. To address the computational challenges inherent in such complex simulations, the framework incorporates a deep learning model trained on both experimental and analytical data. This integration substantially improves computational efficiency while maintaining accuracy in predicting nonlinear dynamic responses. The framework’s effectiveness is demonstrated through application to jointed structures, where traditional deterministic approaches often fall short. By providing a probabilistic perspective on system behaviour, this methodology offers more reliable predictions of dynamic responses under varying conditions. The successful implementation of this approach represents a significant advancement in the field of structural dynamics, particularly for complex systems where uncertainty quantification is crucial for accurate response prediction.
Keywords: Likelihood function; Backbone curves; Stochastic nonlinear dynamics; Bayesian inference; Markov Chain Monte Carlo; Phase-locked loop; Deep learning
College: Faculty of Science and Engineering
Funders: The authors acknowledge the support of the Engineering and Physical Sciences Research Council, United Kingdom through the award of the Programme Grant “Digital Twins for Improved Dynamic Design”, grant number EP/R006768/1 and Tribomechadynamics Research Challenge for providing the experimental data. P. Pandey and Hamed Haddad Khodaparast acknowledge the funding from the RCUK Energy Programme [grant number EP/T012250/1].
Start Page: 112697