{"title":"有弹性障碍物的单侧支撑梁","authors":"Michaela Zahradníková, J. Eisner","doi":"10.1109/ACIT54803.2022.9913153","DOIUrl":null,"url":null,"abstract":"We study a simple model of a spring or beam in ID given by a second order ODE and homogeneous Dirichlet boundary conditions. We assume that the spring/beam is unilaterally supported from below on a part of the domain by a soft/elastic obstacle. We focus on the dependence of the critical forces (which stress the beam and cause its buckling) on the strength/elasticity parameter of the obstacle. We present both analytical and numerical results.","PeriodicalId":431250,"journal":{"name":"2022 12th International Conference on Advanced Computer Information Technologies (ACIT)","volume":"79 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Unilaterally Supported Beam by an Elastic Obstacle\",\"authors\":\"Michaela Zahradníková, J. Eisner\",\"doi\":\"10.1109/ACIT54803.2022.9913153\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study a simple model of a spring or beam in ID given by a second order ODE and homogeneous Dirichlet boundary conditions. We assume that the spring/beam is unilaterally supported from below on a part of the domain by a soft/elastic obstacle. We focus on the dependence of the critical forces (which stress the beam and cause its buckling) on the strength/elasticity parameter of the obstacle. We present both analytical and numerical results.\",\"PeriodicalId\":431250,\"journal\":{\"name\":\"2022 12th International Conference on Advanced Computer Information Technologies (ACIT)\",\"volume\":\"79 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-09-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 12th International Conference on Advanced Computer Information Technologies (ACIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACIT54803.2022.9913153\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 12th International Conference on Advanced Computer Information Technologies (ACIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACIT54803.2022.9913153","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Unilaterally Supported Beam by an Elastic Obstacle
We study a simple model of a spring or beam in ID given by a second order ODE and homogeneous Dirichlet boundary conditions. We assume that the spring/beam is unilaterally supported from below on a part of the domain by a soft/elastic obstacle. We focus on the dependence of the critical forces (which stress the beam and cause its buckling) on the strength/elasticity parameter of the obstacle. We present both analytical and numerical results.