{"title":"用分岔问题代替弹性框架的非分岔稳定性问题","authors":"G. Manuylov, S. B. Kositsyn, M. Begichev","doi":"10.37538/0039-2383.2022.4.43.49","DOIUrl":null,"url":null,"abstract":"When solving frame stability problems, replacing a distributed load acting on a frame element with an equivalent load in the form of concentrated forces that are applied in the frame nodes is often resorted to. This causes the bending equilibrium of the beam to become a non-bending tension-compression equilibrium. The buckling load for such frames can be either greater or less than the actual load.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Problems of replacing nonbifurcational stability problems of elastic frames with bifurcational problems\",\"authors\":\"G. Manuylov, S. B. Kositsyn, M. Begichev\",\"doi\":\"10.37538/0039-2383.2022.4.43.49\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"When solving frame stability problems, replacing a distributed load acting on a frame element with an equivalent load in the form of concentrated forces that are applied in the frame nodes is often resorted to. This causes the bending equilibrium of the beam to become a non-bending tension-compression equilibrium. The buckling load for such frames can be either greater or less than the actual load.\",\"PeriodicalId\":273885,\"journal\":{\"name\":\"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37538/0039-2383.2022.4.43.49\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37538/0039-2383.2022.4.43.49","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Problems of replacing nonbifurcational stability problems of elastic frames with bifurcational problems
When solving frame stability problems, replacing a distributed load acting on a frame element with an equivalent load in the form of concentrated forces that are applied in the frame nodes is often resorted to. This causes the bending equilibrium of the beam to become a non-bending tension-compression equilibrium. The buckling load for such frames can be either greater or less than the actual load.
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