{"title":"聚焦于屈曲现象的平面梁力学","authors":"Massimo Magno , Jean François Ganghoffer","doi":"10.1016/S1287-4620(00)00126-5","DOIUrl":null,"url":null,"abstract":"<div><p>A methodology for the analysis of the mechanical behaviour of beams is presented, which relies on the lemma of stroboscopy. This problem traces back to Euler's work. Starting from a discrete model of the shape of the beam, stroboscopy enables us to built a continuous model for the variation of the angular position along the corrugated beam. The angular position is characterised as the solution of a differential equation. The main originality of the work is the study of buckling conditions of corrugated beams.</p></div>","PeriodicalId":100303,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy","volume":"328 4","pages":"Pages 283-288"},"PeriodicalIF":0.0000,"publicationDate":"2000-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1287-4620(00)00126-5","citationCount":"1","resultStr":"{\"title\":\"Mechanics of planar beams focusing on buckling phenomena\",\"authors\":\"Massimo Magno , Jean François Ganghoffer\",\"doi\":\"10.1016/S1287-4620(00)00126-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A methodology for the analysis of the mechanical behaviour of beams is presented, which relies on the lemma of stroboscopy. This problem traces back to Euler's work. Starting from a discrete model of the shape of the beam, stroboscopy enables us to built a continuous model for the variation of the angular position along the corrugated beam. The angular position is characterised as the solution of a differential equation. The main originality of the work is the study of buckling conditions of corrugated beams.</p></div>\",\"PeriodicalId\":100303,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy\",\"volume\":\"328 4\",\"pages\":\"Pages 283-288\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1287-4620(00)00126-5\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1287462000001265\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1287462000001265","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mechanics of planar beams focusing on buckling phenomena
A methodology for the analysis of the mechanical behaviour of beams is presented, which relies on the lemma of stroboscopy. This problem traces back to Euler's work. Starting from a discrete model of the shape of the beam, stroboscopy enables us to built a continuous model for the variation of the angular position along the corrugated beam. The angular position is characterised as the solution of a differential equation. The main originality of the work is the study of buckling conditions of corrugated beams.
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