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31 January 2026

Surrogate-Based Reconstruction of Structural Damage in Train Collisions: A Systematic Optimization Framework

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and
1
Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China
2
Guangzhou EMU Depot, China Railway Guangzhou Group Co., Ltd., Guangzhou 511483, China
3
Key Laboratory for Track Traffic Safety of Ministry of Education, Central South University, Changsha 410075, China
*
Author to whom correspondence should be addressed.
Systems2026, 14(2), 156;https://doi.org/10.3390/systems14020156 
(registering DOI)
This article belongs to the Special Issue AI-Driven Transportation Systems: Innovations, Challenges, and Future Mobility

Abstract

Accurate reconstruction of train collision accidents is essential for understanding impact conditions, assessing crashworthiness, and supporting safety improvements. This study proposes a surrogate-based optimization framework for reconstructing structural damage in train collisions from post-accident observations. The pre-impact kinematic state, expressed by a six-dimensional vector of relative offsets, rotations, and impact velocity, is formulated as an inverse problem in which a Sum of Squared Relative Deviations (SSRD) between measured and simulated residual deformations serves as the objective function. A reduced two-vehicle finite element (FE) model is developed to capture the dominant impact dynamics, an Optimal Latin Hypercube Design is used to sample the parameter space, and a Kriging surrogate model is constructed to approximate the response. A simulated annealing algorithm is applied to search for the global minimum. The framework is demonstrated on a real high-speed rear-end collision of electric multiple units. The Kriging model achieves a coefficient of determination of about 0.85, and the optimized kinematic state yields FE-predicted residual deformations that agree with field measurements at key locations to within about 5%. The results show that the method can efficiently reconstruct physically plausible collision scenarios and provide insight into parameter sensitivity and identifiability for railway safety analysis.

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