{"title":"Design of tensegrity torus based on bilevel optimization model","authors":"Jinyu Lu, Zhiyin Xu, Junwei Pan","doi":"10.1016/j.mechrescom.2023.104222","DOIUrl":null,"url":null,"abstract":"<div><p>This paper presents a design method for novel tensegrity<span><span> torus based on a bilevel optimization model. The novel tensegrity torus is assembled by a plurality of deformed three-rod prismatic tensegrity units, which can be uniquely determined by 5 geometric parameters<span>. Taking the five parameters as optimization variable, the uniformity of both geometry and prestress as </span></span>optimization objective, a bilevel optimization model is innovatively established. This model can integrate multiple optimization objectives and address nested optimization problems. Three numerical examples with different equal divisions are established and the optimization results indicate good effect of optimization model. Further parameter analysis of the bilevel optimization model demonstrates that reasonable constraints can enhance the optimization effect of the model. Compared to other equal divisions, the prestress of 18-division torus is the most uniform.</span></p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2023-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics Research Communications","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0093641323001817","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper presents a design method for novel tensegrity torus based on a bilevel optimization model. The novel tensegrity torus is assembled by a plurality of deformed three-rod prismatic tensegrity units, which can be uniquely determined by 5 geometric parameters. Taking the five parameters as optimization variable, the uniformity of both geometry and prestress as optimization objective, a bilevel optimization model is innovatively established. This model can integrate multiple optimization objectives and address nested optimization problems. Three numerical examples with different equal divisions are established and the optimization results indicate good effect of optimization model. Further parameter analysis of the bilevel optimization model demonstrates that reasonable constraints can enhance the optimization effect of the model. Compared to other equal divisions, the prestress of 18-division torus is the most uniform.
期刊介绍：
Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide:
• a fast means of communication
• an exchange of ideas among workers in mechanics
• an effective method of bringing new results quickly to the public
• an informal vehicle for the discussion
• of ideas that may still be in the formative stages
The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.
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