Sajjad Hussain, Carman Ka Man Lee, Yung Po Tsang, Saad Waqar
{"title":"基于机器学习的材料挤压推荐框架制备三周期最小表面晶格结构","authors":"Sajjad Hussain, Carman Ka Man Lee, Yung Po Tsang, Saad Waqar","doi":"10.1186/s40712-025-00229-4","DOIUrl":null,"url":null,"abstract":"<div><p>Lattice structures (LS) have been utilized in various fields, from engineering to biomedical sciences. In the lattice structures, the triply periodic minimal surface (TPMS) LS attains benefits in terms of higher productivity and less material usage, a step towards greener 3D printing. However, no automated system exists that can effectively recommend LS parameters to reduce material waste, which is often neglected in traditional methods. To overcome these challenges, this study presents a machine learning (ML) and Deep Learning (DL) based framework recommending TPMS LS according to specific requirements. Initially, a dataset of 144 samples was created using the Material Extrusion (ME) technique. The four TPMS LS were chosen (Split-P, Gyroid, Diamond, and Schwarz) and manufactured with Polylactic acid (PLA). This dataset was used to train both ML and DL algorithms. ML algorithms included Bayesian regression (BR), K-nearest neighbors (KNN), Random Forest (RF), Decision Tree (DT), and DL algorithm convolutional neural network (CNN). These models were used to predict the key parameters of TPMS LS, including wall thickness, unit cell type, loading direction, and unit cell size. Extensive testing was performed to evaluate the performance of the algorithms, employing <i>R</i>-squared values and root mean square error (RMSE). The results showed that the machine learning models, specifically the RF and DT algorithms, performed the best, achieving R-squared scores of 0.993 and 1.0 and RMSE scores of 0.1180 and 0.0795, respectively. The deep learning model, CNN, achieved an RMSE value of 0.46 and an <i>R</i>-squared score of 97%. This study not only contributes to a better understanding of automated TPMS lattice structures but also has significant implications for sustainable design and innovation, particularly in enhancing efficient and environmentally friendly 3D printing technologies.\n</p></div>","PeriodicalId":592,"journal":{"name":"International Journal of Mechanical and Materials Engineering","volume":"20 1","pages":""},"PeriodicalIF":3.4000,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://jmsg.springeropen.com/counter/pdf/10.1186/s40712-025-00229-4","citationCount":"0","resultStr":"{\"title\":\"A machine learning-based recommendation framework for material extrusion fabricated triply periodic minimal surface lattice structures\",\"authors\":\"Sajjad Hussain, Carman Ka Man Lee, Yung Po Tsang, Saad Waqar\",\"doi\":\"10.1186/s40712-025-00229-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Lattice structures (LS) have been utilized in various fields, from engineering to biomedical sciences. In the lattice structures, the triply periodic minimal surface (TPMS) LS attains benefits in terms of higher productivity and less material usage, a step towards greener 3D printing. However, no automated system exists that can effectively recommend LS parameters to reduce material waste, which is often neglected in traditional methods. To overcome these challenges, this study presents a machine learning (ML) and Deep Learning (DL) based framework recommending TPMS LS according to specific requirements. Initially, a dataset of 144 samples was created using the Material Extrusion (ME) technique. The four TPMS LS were chosen (Split-P, Gyroid, Diamond, and Schwarz) and manufactured with Polylactic acid (PLA). This dataset was used to train both ML and DL algorithms. ML algorithms included Bayesian regression (BR), K-nearest neighbors (KNN), Random Forest (RF), Decision Tree (DT), and DL algorithm convolutional neural network (CNN). These models were used to predict the key parameters of TPMS LS, including wall thickness, unit cell type, loading direction, and unit cell size. Extensive testing was performed to evaluate the performance of the algorithms, employing <i>R</i>-squared values and root mean square error (RMSE). The results showed that the machine learning models, specifically the RF and DT algorithms, performed the best, achieving R-squared scores of 0.993 and 1.0 and RMSE scores of 0.1180 and 0.0795, respectively. The deep learning model, CNN, achieved an RMSE value of 0.46 and an <i>R</i>-squared score of 97%. 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引用次数: 0
摘要
晶格结构(LS)已经应用于从工程到生物医学科学的各个领域。在晶格结构中,三周期最小表面(TPMS) LS在更高的生产率和更少的材料使用方面具有优势,这是迈向绿色3D打印的一步。然而,没有自动化系统可以有效地推荐LS参数来减少材料浪费,这在传统方法中经常被忽视。为了克服这些挑战,本研究提出了一个基于机器学习(ML)和深度学习(DL)的框架,根据具体要求推荐TPMS LS。最初,使用材料挤压(ME)技术创建了144个样本的数据集。选择四种TPMS LS (Split-P、Gyroid、Diamond和Schwarz),用聚乳酸(PLA)制备。该数据集用于训练ML和DL算法。ML算法包括贝叶斯回归(BR)、k近邻(KNN)、随机森林(RF)、决策树(DT)和深度学习算法卷积神经网络(CNN)。这些模型用于预测TPMS LS的关键参数,包括壁厚、单元格类型、加载方向和单元格尺寸。采用r平方值和均方根误差(RMSE)进行了广泛的测试来评估算法的性能。结果表明,机器学习模型,特别是RF和DT算法表现最好,r平方得分分别为0.993和1.0,RMSE得分分别为0.1180和0.0795。深度学习模型CNN的RMSE值为0.46,r平方得分为97%。这项研究不仅有助于更好地理解自动化TPMS晶格结构,而且对可持续设计和创新具有重要意义,特别是在提高高效和环保的3D打印技术方面。
A machine learning-based recommendation framework for material extrusion fabricated triply periodic minimal surface lattice structures
Lattice structures (LS) have been utilized in various fields, from engineering to biomedical sciences. In the lattice structures, the triply periodic minimal surface (TPMS) LS attains benefits in terms of higher productivity and less material usage, a step towards greener 3D printing. However, no automated system exists that can effectively recommend LS parameters to reduce material waste, which is often neglected in traditional methods. To overcome these challenges, this study presents a machine learning (ML) and Deep Learning (DL) based framework recommending TPMS LS according to specific requirements. Initially, a dataset of 144 samples was created using the Material Extrusion (ME) technique. The four TPMS LS were chosen (Split-P, Gyroid, Diamond, and Schwarz) and manufactured with Polylactic acid (PLA). This dataset was used to train both ML and DL algorithms. ML algorithms included Bayesian regression (BR), K-nearest neighbors (KNN), Random Forest (RF), Decision Tree (DT), and DL algorithm convolutional neural network (CNN). These models were used to predict the key parameters of TPMS LS, including wall thickness, unit cell type, loading direction, and unit cell size. Extensive testing was performed to evaluate the performance of the algorithms, employing R-squared values and root mean square error (RMSE). The results showed that the machine learning models, specifically the RF and DT algorithms, performed the best, achieving R-squared scores of 0.993 and 1.0 and RMSE scores of 0.1180 and 0.0795, respectively. The deep learning model, CNN, achieved an RMSE value of 0.46 and an R-squared score of 97%. This study not only contributes to a better understanding of automated TPMS lattice structures but also has significant implications for sustainable design and innovation, particularly in enhancing efficient and environmentally friendly 3D printing technologies.