分数阶微积分在移动荷载作用下结构动力特性建模中的应用综述

IF 0.7 4区地球科学 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC

Radiophysics and Quantum Electronics Pub Date : 2025-05-13 DOI:10.1007/s11141-025-10382-7

M. V. Shitikova, A. I. Krusser

{"title":"分数阶微积分在移动荷载作用下结构动力特性建模中的应用综述","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":"{\"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}","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

摘要

本文综述了分数阶微积分在移动载荷固体力学动力学问题中的应用。它包括专门研究承载移动载荷、由粘弹性材料和/或粘弹性基础构成的结构的动力行为的论文，其阻尼特性由分数阶导数模型描述。该领域的大量数值和实验研究为在动态接触问题中使用分数阶导数模型提供了依据。在具有一个或多个自由度的系统形式的运动振荡载荷的作用问题也被考虑。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Application of Fractional Calculus for Modeling the Dynamic Behavior of Structures Under Moving Loads: A Review

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Radiophysics and Quantum Electronics ENGINEERING, ELECTRICAL & ELECTRONIC-PHYSICS, APPLIED

CiteScore

1.10

自引率

12.50%

发文量

审稿时长

6-12 weeks

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.