Topology Optimization of Tensegrity Structures Considering Buckling Constraints

Xu, Xiaomei; Wang, Yafeng; Luo, Yaozhi; Hu, Di He

doi:10.1061/(asce)st.1943-541x.0002156

Cited by 28 publications

(6 citation statements)

References 18 publications

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“…This means that the absolute size of the weight coefficients is not important, and the real importance is the relative size between the weight coefficients. In order to separate the weight coefficients of two adjacent priorities as far as possible, it means that 0 << ω 1 << ω 2 << • • • << ω p (15) a heuristic weight coefficient assignment strategy is proposed as ω r = α p r (16) where α is a positive number that greater than 1, such as 3, and p r denotes the order of the r th length type. On the selection of α, trial computations indicate that a too small α will lead to a small gap between the two adjacent weight coefficients, and it is difficult to adjust the weight coefficients to assign higher priority to the expected members; on the contrary, a too large α will generate excessive weight coefficients that will cause numerical errors in the computation.…”

Section: Weight Coefficientmentioning

confidence: 99%

“…Tensegrity form design can be divided into the following three categories: form-finding [9][10][11] , force-finding [12,13] , and topology-finding [14,15] . Specifically, the topology-finding (also referred to as topology optimization [16,17] or topology design [18,19] ) of tensegrity structures is an emerging scheme proposed in recent years that is a powerful tool to design tensegrity structures with specified shapes. Similar to the topology optimization of conventional structures, member connectivities are treated as the main variables in the topology-finding of tensegrity structures.…”

Section: Introductionmentioning

confidence: 99%

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A generalized objective function based on weight coefficient for topology-finding of tensegrity structures

Huang

Wang

et al. 2023

Applied Mathematical Modelling

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Section: Weight Coefficientmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A generalized objective function based on weight coefficient for topology-finding of tensegrity structures

Huang

Wang

et al. 2023

Applied Mathematical Modelling

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“…Regarding Discrete Optimisation, methods for considering buckling also evolved. Among a recent contribution, one can highlight the work by Weldeyesus and Tugilimana on trusses [397,448], Xu et al suggested a practical approach for TO in tensegrity structures [449,450], as well as the research by Zhao et al [451] on methods for mitigating member instability in reticulated structures.…”

Section: Buckling and Local Instability Phenomenamentioning

confidence: 99%

Topology Optimisation in Structural Steel Design for Additive Manufacturing

2021

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Topology Optimisation is a broad concept deemed to encapsulate different processes for computationally determining structural materials optimal layouts. Among such techniques, Discrete Optimisation has a consistent record in Civil and Structural Engineering. In contrast, the Optimisation of Continua recently emerged as a critical asset for fostering the employment of Additive Manufacturing, as one can observe in several other industrial fields. With the purpose of filling the need for a systematic review both on the Topology Optimisation recent applications in structural steel design and on its emerging advances that can be brought from other industrial fields, this article critically analyses scientific publications from the year 2015 to 2020. Over six hundred documents, including Research, Review and Conference articles, added to Research Projects and Patents, attained from different sources were found significant after eligibility verifications and therefore, herein depicted. The discussion focused on Topology Optimisation recent approaches, methods, and fields of application and deepened the analysis of structural steel design and design for Additive Manufacturing. Significant findings can be found in summarising the state-of-the-art in profuse tables, identifying the recent developments and research trends, as well as discussing the path for disseminating Topology Optimisation in steel construction.

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“…Topology optimization methods have also been proposed to design passive tensegrity structures (Kanno 2013;. For example, least-weight tensegrity structures have been obtained through discrete structural topology optimization based on mixed-integer linear programming subject to equilibrium and stress constraints in (Kanno 2013) as well as to buckling constraints in (Xu et al 2018).…”

Section: Previous Workmentioning

confidence: 99%

“…Cable and strut elements are represented by thin and thick lines, respectively. This novel tensegrity configuration was obtained through a topology optimization formulation given in (Xu et al 2018), and its mechanical properties have been studied in (Li et al 2020). This system is a class 2 tensegrity structure, according to the definition given in (Skelton and Oliveira 2009).…”

Section: Numerical Examplesmentioning

confidence: 99%

Design of adaptive structures through energy minimization: extension to tensegrity

Wang

Senatore

2021

Struct Multidisc Optim

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This paper gives a new formulation to design adaptive structures through total energy optimization (TEO). This methodology enables the design of truss as well as tensegrity configurations that are equipped with linear actuators to counteract the effect of loading through active control. The design criterion is whole-life energy minimization which comprises an embodied part in the material and an operational part for structural adaptation during service. The embodied energy is minimized through simultaneous optimization of element sizing and actuator placement, which is formulated as a mixed-integer nonlinear programming problem. Optimization variables include element cross-sectional areas, actuator positions, element forces, and node displacements. For tensegrity configurations, the actuators are not only employed to counteract the effect of loading but also to apply appropriate prestress which is included in the optimization variables. Actuator commands during service are obtained through minimization of the operational energy that is required to control the state of the structure within required limits, which is formulated as a nonlinear programming problem. Embodied and operational energy minimization problems are nested within a univariate optimization process that minimizes the structure’s whole-life energy (embodied + operational). TEO has been applied to design a roof and a high-rise adaptive tensegrity structure. The adaptive tensegrity solutions are benchmarked with equivalent passive tensegrity as well as adaptive truss solutions, which are also designed through TEO. Results have shown that since cables can be kept in tension through active control, adaptive tensegrity structures require low prestress, which in turn reduces mass, embodied energy, and construction costs compared to passive tensegrity structures. However, while adaptive truss solutions achieve significant mass and energy savings compared to passive solutions, adaptive tensegrity solutions are not efficient configurations in whole-life energy cost terms. Since cable elements must be kept in tension, significant operational energy is required to maintain stable equilibrium for adaptation to loading. Generally, adaptive tensegrity solutions are not as efficient as their equivalent adaptive truss configurations in mass and energy cost terms.

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Topology Optimization of Tensegrity Structures Considering Buckling Constraints

Cited by 28 publications

References 18 publications

A generalized objective function based on weight coefficient for topology-finding of tensegrity structures

A generalized objective function based on weight coefficient for topology-finding of tensegrity structures

Topology Optimisation in Structural Steel Design for Additive Manufacturing

Design of adaptive structures through energy minimization: extension to tensegrity

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