{"title":"位于周期性支撑物上并暴露于外部磁场的多跨载流梁的稳定性","authors":"Ara Avetisyan, Karen Ghazaryan, Pier Marzocca","doi":"10.1115/1.4064821","DOIUrl":null,"url":null,"abstract":"\n The stability of a current carrying beam in an external magnetic field is studied in this paper. The beam is rested on periodic supports and is modelled as a Euler-Bernoulli elastic beam. Based on the linearized stability equation and propagator transfer matrix approach for a multi-span finite length beam the stability equation and solutions of the several boundary value problems are obtained. While the Floquet-Bloch theory is widely used in dynamic problem of phononic and photonic structures conditions, its application to the solution of infinite length beam static stability problem is novel. The stability values of the periodic infinite beam model are in very good agreement with the one of the finite length multi-span beams.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":"57 4","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"STABILITY OF A MULTI-SPAN CURRENT CARRYING BEAM RESTING ON PERIODIC SUPPORTS AND EXPOSED TO AN EXTERNAL MAGNETIC FIELD\",\"authors\":\"Ara Avetisyan, Karen Ghazaryan, Pier Marzocca\",\"doi\":\"10.1115/1.4064821\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n The stability of a current carrying beam in an external magnetic field is studied in this paper. The beam is rested on periodic supports and is modelled as a Euler-Bernoulli elastic beam. Based on the linearized stability equation and propagator transfer matrix approach for a multi-span finite length beam the stability equation and solutions of the several boundary value problems are obtained. While the Floquet-Bloch theory is widely used in dynamic problem of phononic and photonic structures conditions, its application to the solution of infinite length beam static stability problem is novel. The stability values of the periodic infinite beam model are in very good agreement with the one of the finite length multi-span beams.\",\"PeriodicalId\":508156,\"journal\":{\"name\":\"Journal of Applied Mechanics\",\"volume\":\"57 4\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1115/1.4064821\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1115/1.4064821","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
STABILITY OF A MULTI-SPAN CURRENT CARRYING BEAM RESTING ON PERIODIC SUPPORTS AND EXPOSED TO AN EXTERNAL MAGNETIC FIELD
The stability of a current carrying beam in an external magnetic field is studied in this paper. The beam is rested on periodic supports and is modelled as a Euler-Bernoulli elastic beam. Based on the linearized stability equation and propagator transfer matrix approach for a multi-span finite length beam the stability equation and solutions of the several boundary value problems are obtained. While the Floquet-Bloch theory is widely used in dynamic problem of phononic and photonic structures conditions, its application to the solution of infinite length beam static stability problem is novel. The stability values of the periodic infinite beam model are in very good agreement with the one of the finite length multi-span beams.
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