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功能开关优化：使用多项式回归进行预测并采用爬山法进行优化

FSW Optimization: Prediction Using Polynomial Regression and Optimization with Hill-Climbing Method.

作者信息

Myśliwiec Piotr, Szawara Paulina, Kubit Andrzej, Zwolak Marek, Ostrowski Robert, Derazkola Hamed Aghajani, Jurczak Wojciech

机构信息

Department of Materials Forming and Processing, Rzeszow University of Technology, al. Powst. Warszawy 8, 35-959 Rzeszów, Poland.

Doctoral School of Engineering and Technical Sciences, Rzeszow University of Technology, al. Powst. Warszawy 12, 35-959 Rzeszów, Poland.

出版信息

Materials (Basel). 2025 Jan 19;18(2):448. doi: 10.3390/ma18020448.

DOI:10.3390/ma18020448
PMID:39859919
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11766537/
Abstract

This study presents the optimization of the friction stir welding (FSW) process using polynomial regression to predict the maximum tensile load (MTL) of welded joints. The experimental design included varying spindle speeds from 600 to 2200 rpm and welding speeds from 100 to 350 mm/min over 28 experimental points. The resulting MTL values ranged from 1912 to 15,336 N. A fifth-degree polynomial regression model was developed to fit the experimental data. Diagnostic tests, including the Shapiro-Wilk test and kurtosis analysis, indicated a non-normal distribution of the MTL data. Model validation showed that fifth-degree polynomial regression provided a robust fit with high fitted and predicted R values, indicating strong predictive power. Hill-climbing optimization was used to fine-tune the welding parameters, identifying an optimal spindle speed of 1100 rpm and a welding speed of 332 mm/min, which was predicted to achieve an MTL of 16,852 N. Response surface analysis confirmed the effectiveness of the identified parameters and demonstrated their significant influence on the MTL. These results suggest that the applied polynomial regression model and optimization approach are effective tools for improving the performance and reliability of the FSW process.

摘要

本研究提出了使用多项式回归优化搅拌摩擦焊（FSW）工艺，以预测焊接接头的最大拉伸载荷（MTL）。实验设计包括在28个实验点上，将主轴转速从600转/分钟变化到2200转/分钟，焊接速度从100毫米/分钟变化到350毫米/分钟。得到的MTL值范围为1912至15336牛。开发了一个五次多项式回归模型来拟合实验数据。包括夏皮罗-威尔克检验和峰度分析在内的诊断测试表明，MTL数据呈非正态分布。模型验证表明，五次多项式回归提供了稳健的拟合，具有较高的拟合和预测R值，表明具有强大的预测能力。采用爬山优化法对焊接参数进行微调，确定了最佳主轴转速为1100转/分钟，焊接速度为332毫米/分钟，预计可实现MTL为16852牛。响应面分析证实了所确定参数的有效性，并证明了它们对MTL有显著影响。这些结果表明，所应用的多项式回归模型和优化方法是提高FSW工艺性能和可靠性的有效工具。

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