Abstract
This paper presents a novel framework for predicting the crashworthiness of a square cone energy-absorbing (SCEA) structure using a machine-learning method. The structure consists of an anti-creep, a thin-walled structure with nonuniform thickness, diaphragms, two types of aluminum honeycombs and a guide rail. The finite element model of SCEA structure was established and validated by full-scale experimental test. Taking the thicknesses of thin walls (TA and TB) and diaphragms (Tgb), strengths of honeycombs (δA and δB) as parametric variables, the parameters of SCEA structure were changed based on a virtual design of experiments (DOE) to generate training data and test data. To improve the crashworthiness of SCEA structure, the structural parameters were employed as input data, four machine learning models were utilized to predict the energy-absorbing characteristic curve of the SCEA structure, and the prediction accuracy of different models was compared and analyzed. According to the results of comparison, the Gate Recurrent Unit (GRU) model was chosen to predict the structural energy-absorbing characteristics, also employed as the input of optimization. The energy absorption (EA) and initial peak crushing force (PCF) were adopted as objectives, and the global response surface method (GRSM) was employed as the optimization algorithm. The results showed that the optimal solution was obtained as PCF = 618.41 kN and EA = 297.99 kJ when TA = 2.1 mm, TB = 2.9 mm, Tgb = 2.4 mm, δA = 5.99 MPa and δB = 4.82 MPa. The machine learning method offers engineers and scientists a potential tool to accelerate the design and optimization of SCEA structures for rail vehicles.
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Acknowledgements
The authors would like to acknowledge the financial support from the Hunan Provincial Natural Science Foundation of China (No. 2022JJ40619, 2023JJ20074), the Fundamental Research Funds for the Central Universities of Central South University (No. 512340040, 202044019), the Young Elite Scientists Sponsorship Program by CAST (No. 2022QNRC001), the Changsha Municipal Natural Science Foundation (No. kq2202102), the National Key Research and Development Program of China (No. 2021YFB3703801), and the open project of Key Laboratory of Conveyance and Equipment of Ministry of Education, East China Jiaotong University (No. KLCE2022-06).
Funding
The authors would like to acknowledge the financial support from the Hunan Provincial Natural Science Foundation of China (No. 2022JJ40619, 2023JJ20074), the Fundamental Research Funds for the Central Universities of Central South University (No. 512340040, 202044019), the Young Elite Scientists Sponsorship Program by CAST (No. 2022QNRC001), the Changsha Municipal Natural Science Foundation (No. kq2202102), the National Key Research and Development Program of China (No. 2021YFB3703801), and the open project of Key Laboratory of Conveyance and Equipment of Ministry of Education, East China Jiaotong University (No. KLCE2022-06).
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Guo, W., Xu, P., Yang, C. et al. Machine learning-based crashworthiness optimization for the square cone energy-absorbing structure of the subway vehicle. Struct Multidisc Optim 66, 182 (2023). https://doi.org/10.1007/s00158-023-03629-2
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DOI: https://doi.org/10.1007/s00158-023-03629-2