Matteo Gaibotti, Davide Bigoni, Arsenio Cutolo, Massimiliano Fraldi, Andrea Piccolroaz
{"title":"Effects of different loading on the bifurcation of annular elastic rods: theory vs. experiments","authors":"Matteo Gaibotti, Davide Bigoni, Arsenio Cutolo, Massimiliano Fraldi, Andrea Piccolroaz","doi":"arxiv-2407.02897","DOIUrl":null,"url":null,"abstract":"The bifurcation problem of a circular Euler-Bernoulli rod subject to a\nuniform radial force distribution is investigated under three distinct loading\nconditions: (i.) hydrostatic pressure, (ii.) centrally-directed, and (iii.)\ndead load. Previous studies on this apparently 'familiar' structural problem\nhave yielded controversial results, necessitating a comprehensive\nclarification. This study shows that results previously labelled as 'correct'\nor 'wrong' simply refer to different external constraints, whose presence\nbecomes necessary only for the two latter loads, (ii.) and (iii.). Moreover,\nthe paper presents the first experimental realization of a circular rod\nsubjected to centrally-directed loads. The experimental findings align with the\ntheoretical predictions and show the exploitation of a new type of load acting\non a continuous structural element. The feasibility of this load is\ndemonstrated through the use of inextensible cables and opens the way to\napplications in flexible robotics when cables are used for actuation.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Classical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.02897","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The bifurcation problem of a circular Euler-Bernoulli rod subject to a
uniform radial force distribution is investigated under three distinct loading
conditions: (i.) hydrostatic pressure, (ii.) centrally-directed, and (iii.)
dead load. Previous studies on this apparently 'familiar' structural problem
have yielded controversial results, necessitating a comprehensive
clarification. This study shows that results previously labelled as 'correct'
or 'wrong' simply refer to different external constraints, whose presence
becomes necessary only for the two latter loads, (ii.) and (iii.). Moreover,
the paper presents the first experimental realization of a circular rod
subjected to centrally-directed loads. The experimental findings align with the
theoretical predictions and show the exploitation of a new type of load acting
on a continuous structural element. The feasibility of this load is
demonstrated through the use of inextensible cables and opens the way to
applications in flexible robotics when cables are used for actuation.