Design of tensegrity torus based on bilevel optimization model

IF 1.9 4区 工程技术 Q3 MECHANICS
Jinyu Lu, Zhiyin Xu, Junwei Pan
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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.

基于双层优化模型的张拉整体环面设计
提出了一种基于双层优化模型的新型张拉整体环面的设计方法。该新型张拉整体环面由多个变形的三杆棱柱张拉整体单元组装而成,这些单元可由5个几何参数唯一确定。以这5个参数为优化变量,以几何均匀性和预应力均匀性为优化目标,创新性地建立了双层优化模型。该模型可以集成多个优化目标,解决嵌套优化问题。建立了三个不同等分的数值算例,优化结果表明优化模型效果良好。进一步对双层优化模型的参数分析表明,合理的约束可以增强模型的优化效果。与其他等分环相比,18分环的预应力最均匀。
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来源期刊
CiteScore
4.10
自引率
4.20%
发文量
114
审稿时长
9 months
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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