Integrated Modeling of Rolling Force of Super-thick Plate Based on Bootstrap Method

YIN Ziqi; ZHANG Shunhu; TIAN Wenhao; WAN Liangwei; LI Yan

doi:10.3969/j.issn.1674-6457.2026.01.023

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Journal of Netshape Forming Engineering ›› 2026, Vol. 18 ›› Issue (1) : 248-256. DOI: 10.3969/j.issn.1674-6457.2026.01.023

Advanced Manufacturing Technology and Equipment

Integrated Modeling of Rolling Force of Super-thick Plate Based on Bootstrap Method

YIN Ziqi, ZHANG Shunhu^*, TIAN Wenhao, WAN Liangwei, LI Yan

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Abstract

To address the adverse impacts of non-uniform data distribution on the predictive accuracy of rolling force models, the work aims to propose a novel modeling paradigm integrating theoretical frameworks with intelligent algorithmic methodologies. A bootstrap-based BP neural network model was initially constructed and subsequently employed to modify existing theoretical rolling force models, thereby forming an integrated model. Specifically, preprocessing and correlation analysis were conducted on rolling production data, where calculated values from theoretical models were incorporated as input variables in the BP neural network architecture to improve predictive performance. The data were clustered and subject to classified training to address accuracy limitations caused by imbalanced sample distributions. Bootstrap-based data augmentation was implemented for predictive comparison with production data. A high-precision integrated rolling force prediction model was developed through multiplicative compensation-based correction of theoretical models. Dataset balancing was achieved via bootstrap integration, resulting in enhanced model accuracy and stability with minimal error fluctuations, where the maximum mean absolute percentage error (MAPE) was reduced to 4.61%. The bootstrap method is demonstrated to provide a novel solution for high-precision rolling force modeling under imbalanced datasets. The established integrated model serves as a scientific foundation for achieving precise control in practical manufacturing processes.

Key words

rolling force / bootstrap method / integrated model / BP neural network / clustering

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YIN Ziqi, ZHANG Shunhu, TIAN Wenhao, WAN Liangwei, LI Yan. Integrated Modeling of Rolling Force of Super-thick Plate Based on Bootstrap Method[J]. Journal of Netshape Forming Engineering. 2026, 18(1): 248-256 https://doi.org/10.3969/j.issn.1674-6457.2026.01.023

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