{"title":"梁模型对动荷载作用下有碴铁路轨道动力响应的影响","authors":"Le-Hung Tran, Thi-Thu-Ha Do, Khuong Le-Nguyen","doi":"10.1007/s00419-023-02459-4","DOIUrl":null,"url":null,"abstract":"<div><p>This research presents a development of the dynamical model for ballasted railway tracks by combining two models: a periodically supported beam model for the rail and model of beam posed on a viscoelastic foundation for the sleeper. In this development, two beam theories can be used to describe the dynamic behavior of beam: Euler–Bernoulli and Timoshenko. In steady-state condition, a relation between the reaction force applied on the support and displacement of rail is established in the frequency domain. In the other way, these two variables are linked with the help of Green’s function for the sleeper. By performing the two previous analyses, the dynamic responses of rails are obtained analytically in the frequency domain. The numerical examples show the influence of beam models for the rails and sleeper on the dynamic responses. This work provides analytical choices to calculate the dynamic track responses where the rails and sleeper can be described by the two beam theories.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 9","pages":"3665 - 3682"},"PeriodicalIF":2.2000,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Influence of beam models on dynamic responses of ballasted railway track subjected to moving loads\",\"authors\":\"Le-Hung Tran, Thi-Thu-Ha Do, Khuong Le-Nguyen\",\"doi\":\"10.1007/s00419-023-02459-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This research presents a development of the dynamical model for ballasted railway tracks by combining two models: a periodically supported beam model for the rail and model of beam posed on a viscoelastic foundation for the sleeper. In this development, two beam theories can be used to describe the dynamic behavior of beam: Euler–Bernoulli and Timoshenko. In steady-state condition, a relation between the reaction force applied on the support and displacement of rail is established in the frequency domain. In the other way, these two variables are linked with the help of Green’s function for the sleeper. By performing the two previous analyses, the dynamic responses of rails are obtained analytically in the frequency domain. The numerical examples show the influence of beam models for the rails and sleeper on the dynamic responses. This work provides analytical choices to calculate the dynamic track responses where the rails and sleeper can be described by the two beam theories.</p></div>\",\"PeriodicalId\":477,\"journal\":{\"name\":\"Archive of Applied Mechanics\",\"volume\":\"93 9\",\"pages\":\"3665 - 3682\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2023-06-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive of Applied Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00419-023-02459-4\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-023-02459-4","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Influence of beam models on dynamic responses of ballasted railway track subjected to moving loads
This research presents a development of the dynamical model for ballasted railway tracks by combining two models: a periodically supported beam model for the rail and model of beam posed on a viscoelastic foundation for the sleeper. In this development, two beam theories can be used to describe the dynamic behavior of beam: Euler–Bernoulli and Timoshenko. In steady-state condition, a relation between the reaction force applied on the support and displacement of rail is established in the frequency domain. In the other way, these two variables are linked with the help of Green’s function for the sleeper. By performing the two previous analyses, the dynamic responses of rails are obtained analytically in the frequency domain. The numerical examples show the influence of beam models for the rails and sleeper on the dynamic responses. This work provides analytical choices to calculate the dynamic track responses where the rails and sleeper can be described by the two beam theories.
期刊介绍：
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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