Sequential Bayesian inference for uncertain nonlinear dynamic systems: a tutorial

KE Tatsis, VK Dertimanis, EN Chatzi - arXiv preprint arXiv:2201.08180, 2022 - arxiv.org
In this article, an overview of Bayesian methods for sequential simulation from posterior
distributions of nonlinear and non-Gaussian dynamic systems is presented. The focus is …

Stochastic full-range multiscale modeling of thermal conductivity of Polymeric carbon nanotubes composites: A machine learning approach

B Liu, N Vu-Bac, X Zhuang, X Fu, T Rabczuk - Composite Structures, 2022 - Elsevier
Based on a stochastic full-range multiscale model, we propose a data-driven approach to
predict the thermal conductivity of CNT reinforced polymeric nano-composites (PNCs) …

[HTML][HTML] Physics-guided Deep Markov Models for learning nonlinear dynamical systems with uncertainty

W Liu, Z Lai, K Bacsa, E Chatzi - Mechanical Systems and Signal …, 2022 - Elsevier
In this paper, we propose a probabilistic physics-guided framework, termed Physics-guided
Deep Markov Model (PgDMM). The framework targets the inference of the characteristics …

Al-DeMat: A web-based expert system platform for computationally expensive models in materials design

B Liu, N Vu-Bac, X Zhuang, W Lu, X Fu… - Advances in Engineering …, 2023 - Elsevier
We present a web-based framework based on the R shiny package with functional back-end
server in machine learning methods. A 4-tiers architecture is programmed to achieve users' …

Discussing the spectra of physics-enhanced machine learning via a survey on structural mechanics applications

M Haywood-Alexander, W Liu, K Bacsa, Z Lai… - CoRR, 2023 - openreview.net
The intersection of physics and machine learning has given rise to the physics-enhanced
machine learning (PEML) paradigm, aiming to improve the capabilities and reduce the …

Structural dynamic response reconstruction with multi-type sensors, unknown input, and rank deficient feedthrough matrix

Z Zhu, S Zhu, YW Wang, YQ Ni - Mechanical Systems and Signal …, 2023 - Elsevier
This paper presents a novel algorithm that reconstructs structural responses under unknown
inputs and rank-deficient feedthrough matrix conditions. The algorithm eliminates one of the …

Parametric reduced-order modeling for component-oriented treatment and localized nonlinear feature inclusion

K Vlachas, A Garland, DD Quinn, E Chatzi - Nonlinear Dynamics, 2024 - Springer
We propose coupling a physics-based reduction framework with a suited response
decomposition technique to derive a component-oriented reduction (COR) approach, which …

On the consistent classification and treatment of uncertainties in structural health monitoring applications

A Kamariotis, K Vlachas… - … -ASME Journal of …, 2025 - asmedigitalcollection.asme.org
In this paper, we provide a comprehensive definition and classification of various sources of
uncertainty within the fields of structural dynamics, system identification, and structural …

Spectral fatigue analysis of ship structures based on a stochastic crack growth state model

P Makris, NΕ Silionis, KN Anyfantis - International Journal of Fatigue, 2023 - Elsevier
Fatigue life estimation in ship structures is a very complex problem, because of the
stochasticity in the wave loading experienced by the hull and the inherent variability in the …

Accelerating structural dynamics simulations with localised phenomena through matrix compression and projection‐based model order reduction

K Agathos, K Vlachas, A Garland… - International Journal for …, 2024 - Wiley Online Library
In this work, a novel approach is introduced for accelerating the solution of structural
dynamics problems in the presence of localised phenomena, such as cracks. For this …