{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,18]],"date-time":"2026-04-18T14:40:43Z","timestamp":1776523243786,"version":"3.51.2"},"reference-count":34,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,12,14]],"date-time":"2024-12-14T00:00:00Z","timestamp":1734134400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computers"],"abstract":"<jats:p>This paper investigates the use of machine learning methods to predict the loading frequency of shape memory alloys (SMAs) based on experimental data. SMAs, in particular nickel-titanium (NiTi) alloys, have unique properties that restore the original shape after significant deformation. The frequency of loading significantly affects the functional characteristics of SMAs. Experimental data were obtained from cyclic tensile tests of a 1.5 mm diameter Ni55.8Ti44.2 wire at different loading frequencies (0.1, 0.5, 1.0, and 5.0 Hz). Various machine learning methods were used to predict the loading frequency f (Hz) based on input parameters such as stress \u03c3 (MPa), number of cycles N, strain \u03b5 (%), and loading\u2013unloading stage: boosted trees, random forest, support vector machines, k-nearest neighbors, and artificial neural networks of the MLP type. Experimental data of 100\u2013140 load\u2013unload cycles for four load frequencies were used for training. The dataset contained 13,365 elements. The results showed that the MLP neural network model demonstrated the highest accuracy in load frequency classification. The boosted trees and random forest models also performed well, although slightly below MLP. The SVM method also performed quite well. The KNN method showed the worst results among all models. Additional testing of the MLP model on cycles that were not included in the training data (200th, 300th, and 1035th cycles) showed that the model retains high efficiency in predicting load frequency, although the accuracy gradually decreases on later cycles due to the accumulation of structural changes in the material.<\/jats:p>","DOI":"10.3390\/computers13120339","type":"journal-article","created":{"date-parts":[[2024,12,16]],"date-time":"2024-12-16T09:17:58Z","timestamp":1734340678000},"page":"339","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Loading Frequency Classification in Shape Memory Alloys: A Machine Learning Approach"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0246-2236","authenticated-orcid":false,"given":"Dmytro","family":"Tymoshchuk","sequence":"first","affiliation":[{"name":"Department of Cyber Security, Ternopil Ivan Puluj National Technical University, Ruska Str. 56, 46001 Ternopil, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Oleh","family":"Yasniy","sequence":"additional","affiliation":[{"name":"Department of Cyber Security, Ternopil Ivan Puluj National Technical University, Ruska Str. 56, 46001 Ternopil, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3001-0512","authenticated-orcid":false,"given":"Pavlo","family":"Maruschak","sequence":"additional","affiliation":[{"name":"Department of Cyber Security, Ternopil Ivan Puluj National Technical University, Ruska Str. 56, 46001 Ternopil, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Volodymyr","family":"Iasnii","sequence":"additional","affiliation":[{"name":"Department of Cyber Security, Ternopil Ivan Puluj National Technical University, Ruska Str. 56, 46001 Ternopil, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2846-6040","authenticated-orcid":false,"given":"Iryna","family":"Didych","sequence":"additional","affiliation":[{"name":"Department of Cyber Security, Ternopil Ivan Puluj National Technical University, Ruska Str. 56, 46001 Ternopil, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,14]]},"reference":[{"key":"ref_1","first-page":"6","article-title":"Orthopedic implants and devices for bone fractures and defects: Past, present and perspective","volume":"1","author":"Kim","year":"2020","journal-title":"Eng. 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