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Comparative study of machine learning method and response surface methodology in BGA solder joint parameter optimization

Fang Liu (Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University, Wuhan, China; School of Mechanical Engineering and Automation, Wuhan Textile University, Wuhan, China and Hubei Key Laboratory of Electronic Manufacturing and Packaging Integration (Wuhan University), Wuhan University, Wuhan, China)
Zhongwei Duan (School of Mechanical Engineering and Automation, Wuhan Textile University, Wuhan, China)
Runze Gong (School of Mechanical Engineering and Automation, Wuhan Textile University, Wuhan, China)
Jiacheng Zhou (Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University, Wuhan, China; School of Mechanical Engineering and Automation, Wuhan Textile University, Wuhan, China and Mining Hydraulic Technology and Equipment Engineering Research Center, Liaoning Technical University, Huludao, China)
Zhi Wu (School of Mechanical Engineering and Automation, Wuhan Textile University, Wuhan, China)
Nu Yan (School of Mechanical Engineering and Automation, Wuhan Textile University, Wuhan, China)

Soldering & Surface Mount Technology

ISSN: 0954-0911

Article publication date: 7 November 2024

Issue publication date: 2 January 2025

37

Abstract

Purpose

Ball grid array (BGA) package is prone to failure issues in a thermal vibration-coupled environment, such as deformation and fracture of solder joints. To predict the minimum equivalent stress of solder joints more accurately and optimize the solder joint structure, this paper aims to compare the machine learning method with response surface methodology (RSM).

Design/methodology/approach

This paper introduced a machine learning algorithm using Grey Wolf Optimization (GWO) Support Vector Regression (SVR) to optimize solder joint parameters. The solder joint height, spacing, solder pad diameter and thickness were the design variables, and minimizing the equivalent stress of solder joint was the optimization objective. The three dimensional finite element model of the printed circuit board assembly was verified by a modal experiment, and simulations were conducted for 25 groups of models with different parameter combinations. The simulation results were employed to train GWO-SVR to build a mathematical model and were analyzed using RSM to obtain a regression equation. Finally, GWO optimized these two methods.

Findings

The results show that the optimization results of GWO-SVR are closer to the simulation results than those of RSM. The minimum equivalent stress is decreased by 8.528% that of the original solution.

Originality/value

This study demonstrates that GWO-SVR is more precise and effective than RSM in optimizing the design of solder joints.

Keywords

Acknowledgements

This work was supported by the National Natural Science Foundation of China (NSFC) under Grant No. 51775388; Open Fund of Hubei Key Laboratory of Electronic Manufacturing and Packaging Integration (Wuhan University) under Grant No. EMPI2023004; Outstanding Young and Middle-aged Scientific Innovation Team of Colleges and Universities of Hubei Province (No. T2022015); Open Fund of Mining Hydraulic Technology and Equipment Engineering Research Center under grant number MHTE23-R11.

Credit author statement: Fang Liu: Conceptualization, Writing – Review & Editing, Project administration; Zhongwei Duan: Methodology, Software, Writing – Original Draft; Runze Gong: Validation, Investigation; Jiacheng Zhou: Resources, Supervision; Zhi Wu: Formal analysis; Nu Yan: Literature collection.

Declaration of interests: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Citation

Liu, F., Duan, Z., Gong, R., Zhou, J., Wu, Z. and Yan, N. (2025), "Comparative study of machine learning method and response surface methodology in BGA solder joint parameter optimization", Soldering & Surface Mount Technology, Vol. 37 No. 1, pp. 25-36. https://doi.org/10.1108/SSMT-06-2024-0026

Publisher

:

Emerald Publishing Limited

Copyright © 2024, Emerald Publishing Limited

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