Open Access

ARTICLE

Intelligent Modeling of Thin Plate Buckling via Machine Learning

Salamat Ullah^1,2,*, Muhammad Zahid³, Khaled Aati⁴, Abdulrahman Abbadi⁴, Haroon Ijaz⁵, Ali Qabur⁴

1 Center for Mechanics Plus under Extreme Environments, Ningbo University, Ningbo, China
2 Department of Software Engineering, Faculty of Science & Technology, ILMA University, Karachi, Pakistan
3 School of Engineering, The University of British Columbia, Okanagan, 1137 Alumni Avenue, Kelowna, BC, Canada
4 Department of Civil and Architectural Engineering, Jazan University, Jazan, 45142, Saudi Arabia
5 State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou, China

* Corresponding Author: Salamat Ullah. Email:

(This article belongs to the Special Issue: Emerging Artificial Intelligence & Data-Driven Modeling in Civil Engineering)

Computer Modeling in Engineering & Sciences 2026, 147(2), 16 https://doi.org/10.32604/cmes.2026.080484

Received 10 February 2026; Accepted 10 April 2026; Issue published 27 May 2026

Abstract

Designing thin-walled plate structures is challenging due to their susceptibility to various forms of structural instability. In addition, the substantial computational cost of finite element analyses, especially in optimization scenarios, underscores the need for efficient and reliable surrogate models. To address this challenge, the present study employs machine learning (ML) techniques to predict the buckling response of thin plates under complex boundary conditions. Four ML models, including XGBoost, CatBoost, Light GBM, and Random Forest, are developed to predict the buckling coefficient based on input features, including aspect ratio, boundary condition, and compressive loading pattern. The training data for these models is generated using the finite integral transform method. Model performance is rigorously evaluated, with all four algorithms demonstrating strong predictive capabilities. Among them, XGBoost demonstrates the superior predictive performance, achieving an R² value of 0.99. To gain deeper insights into feature influence, SHAP analysis is conducted, revealing that the aspect ratio has the greatest influence on buckling coefficient, followed by boundary conditions and compressive loading. By adopting gradient-boosting approaches, the proposed framework demonstrates improved generalization and reduced overfitting, with potential applicability to structural optimization. The results suggest that integrating machine learning with structural analysis can serve as a computationally efficient approach for the design and optimization of thin-walled plates.

---

Keywords

---