Port-Hamiltonian Structural Consistency Residual Damage Detection in Discrete Timoshenko Beams
Authors
Luis Esquivel-Sancho, Maryam GhandchiTehrani, Mauricio Muñoz-Arias
Abstract
Structural damage detection in flexible beam structures requires methods that combine physical interpretability with fault localization.This paper proposes an energy-based framework for damage detection, localization, and severity estimation in discrete Timoshenko cantilever beams, grounded in port-Hamiltonian system theory.The beam is formulated in explicit port-Hamiltonian form using finite elements, HRZ mass lumping, and Rayleigh proportional damping.The central contribution is the port-Hamiltonian Structural Consistency Residual, a powerbalance violation metric that decomposes analytically into element-level damage signatures, enabling localization through a matched-filter least-squares estimator without prior knowledge of damage location or magnitude.The framework is validated numerically on a cantilever beam across four configurations (uniform and non-uniform cross-section, each with 0% and 1% measurement noise) and fifty idealized stiffness-loss damage scenarios per configuration (10 elements × 5 severity levels, 2-30% stiffness reduction).Overall localization accuracy ranges from 86% (uniform, noiseless) to 66% (non-uniform, 1% noise), with exact identification reaching 100% at 30% severity for mid-span elements across all configurations.
Citation
- Journal: International Conference on Structural Dynamics
- Year: 2026
- Volume:
- Issue:
- Pages: 1878–1893
- Publisher: Institute for Risk and Reliability
- DOI: 10.47964/1326.10795.536
BibTeX
@inproceedings{Esquivel_Sancho_2026,
series={EURODYN 2026},
title={{Port-Hamiltonian Structural Consistency Residual Damage Detection in Discrete Timoshenko Beams}},
ISSN={2311-9020},
DOI={10.47964/1326.10795.536},
booktitle={{XIII International Conference on Structural Dynamics}},
publisher={Institute for Risk and Reliability},
author={Esquivel-Sancho, Luis and GhandchiTehrani, Maryam and Muñoz-Arias, Mauricio},
year={2026},
pages={1878--1893},
collection={EURODYN 2026}
}