{"title":"Application of Fractional Calculus for Modeling the Dynamic Behavior of Structures Under Moving Loads: A Review","authors":"M. V. Shitikova, A. I. Krusser","doi":"10.1007/s11141-025-10382-7","DOIUrl":null,"url":null,"abstract":"<p>This review presents a state-of-the-art analysis in the field of application of fractional calculus to dynamic problems in solid mechanics with moving loads. It includes papers devoted to the study of the dynamic behavior of structures carrying moving loads and made of a viscoelastic material and/or resting on viscoelastic foundations, the damping properties of which are described by models with fractional derivatives. A large number of numerical and experimental studies in this field gives grounds for using fractional-derivative models in dynamic contact problems. Issues on the action of moving oscillating loads in the form of systems with one or several degrees of freedom are also considered.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"67 5","pages":"396 - 411"},"PeriodicalIF":0.7000,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Radiophysics and Quantum Electronics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11141-025-10382-7","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
This review presents a state-of-the-art analysis in the field of application of fractional calculus to dynamic problems in solid mechanics with moving loads. It includes papers devoted to the study of the dynamic behavior of structures carrying moving loads and made of a viscoelastic material and/or resting on viscoelastic foundations, the damping properties of which are described by models with fractional derivatives. A large number of numerical and experimental studies in this field gives grounds for using fractional-derivative models in dynamic contact problems. Issues on the action of moving oscillating loads in the form of systems with one or several degrees of freedom are also considered.
期刊介绍:
Radiophysics and Quantum Electronics contains the most recent and best Russian research on topics such as:
Radio astronomy;
Plasma astrophysics;
Ionospheric, atmospheric and oceanic physics;
Radiowave propagation;
Quantum radiophysics;
Pphysics of oscillations and waves;
Physics of plasmas;
Statistical radiophysics;
Electrodynamics;
Vacuum and plasma electronics;
Acoustics;
Solid-state electronics.
Radiophysics and Quantum Electronics is a translation of the Russian journal Izvestiya VUZ. Radiofizika, published by the Radiophysical Research Institute and N.I. Lobachevsky State University at Nizhnii Novgorod, Russia. The Russian volume-year is published in English beginning in April.
All articles are peer-reviewed.