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A Cluster and Search Stacking Algorithm (CSSA) for predicting the ultimate bearing capacity of an HSS column

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Abstract

High-strength steel (HSS) columns are widely used in industry and construction because of their outstanding properties. Predicting the ultimate bearing capacity of HSS columns is not an easy task due to many nonlinear factors such as geometry and material properties. In this paper, a Cluster and Search Stacking Algorithm (CSSA) model based on the cluster algorithm, search algorithm, and Stacking algorithm is proposed to predict the ultimate bearing capacity of HSS columns. Specifically, the clustering algorithm is used to cluster the base models, and the search algorithm is implemented to find the best combination of base models in the Stacking algorithm. Results show that the proposed CSSA model is more effective than base models optimized by the Bayesian Optimization algorithm. Furthermore, the Bland–Altman approach is utilized to examine the consistency of the CSSA model to validate its reliability. Finally, the Shapley additive explanation (SHAP) method is introduced to analyze and explain the ultimate bearing capacity predicted by the CSSA model.

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Acknowledgements

The project is supported by the National key research and development program (Grant No. 2020YFA0710904-03), National Natural Science Foundation of China (Grant No. U20A20285 and NO. 52172357), Science Foundation of Hunan Province (Grant No. 2021JJ10016) and Key Research and Development Program of Hunan Province (Grant No. 2020GK4062 and 2020GK2094). This work was also supported by Leverhulme Trust Research Fellowship and National Science and Technology Ministry, PR China (Gant No. G2022160016L).

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, People’s Republic of China

    Z. C. He, Y. Peng, J. Han & E. L. Zhou

  2. School of Aeronautics, Northwestern Polytechnical University, Xi’an, 710072, Shaanxi, People’s Republic of China

    Bing Li

  3. School of Computing, Engineering & Digital Technologies, Teesside University, Middleborough, UK

    Eric Li

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  1. Z. C. He
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  4. E. L. Zhou
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Correspondence to Eric Li.

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He, Z.C., Peng, Y., Han, J. et al. A Cluster and Search Stacking Algorithm (CSSA) for predicting the ultimate bearing capacity of an HSS column. Acta Mech 234, 1627–1648 (2023). https://doi.org/10.1007/s00707-022-03446-6

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