Conceptual configuration synthesis of line-foldable type quadrangular prismatic deployable unit based on graph theory

Shi, Chuang; Guo, Hongwei; Li, Meng; Liu, Rongqiang; Deng, Zongquan

doi:10.1016/j.mechmachtheory.2017.11.010

Cited by 25 publications

(8 citation statements)

References 30 publications

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“…An experimental prototype of 1.8 m is fabricated and its dynamic characteristics are tested to demonstrate the feasibility of the design. In 2018, Shi et al. (2018) developed a group of ring structures with double layer by using the configuration synthesis approach and topology structure design.…”

Section: Introductionmentioning

confidence: 99%

Dynamic characteristics and structural stability analysis of a large annular tensegrity structure with radial ribs

Shi

Guo

Liu

2023

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PurposeIn order to make the aperture of spatial deployable antenna larger, this paper proposed the study on a spatial annular tensegrity structure with 100 m large scale, which could be one of the ideal solutions to improve the dimension of the antenna. This study is aiming to figure out the dynamic characteristic of ultra-large annular tensegrity and address the problem of insufficient rigidity with local modes that many ring truss-type deployable antenna structures have faced.Design/methodology/approachThis work is carried out based on the nonlinear dynamic modelling when fully considering the effect of bending and torsion deformation of beams, as well as the pretension of cables. Additionally, the structural stability analysis based on the proposed stability criterion is also presented to evaluate the tensegrity configuration with different distribution of cable groups.FindingsThis research results verify that the modified structure with radial ribs could eliminate the effect of the local vibration mode on stiffness and is suitable to meet the requirements of the annular tensegrity structure. Additionally, the calculation results demonstrate that the structural configuration of annular tensegrity with 36 groups of cables which share the nodes with radial ribs is more appropriate to enhance the stiffness and structural stability.Originality/valueA new large annular tensegrity structure with radial ribs and tensioned cables is proposed. Based on the proposed structural configuration, the positive definiteness of the tangent stiffness matrix is carried out as the criterion of stability and the composition of the analytical expression of the tangent stiffness matrix is analyzed. Four levels of tensegrity structure stability have been carried out and the influence of the structural parameters on the stability and the rigidity has been analyzed. A scaled-down prototype is developed to verify the feasibility of the design of the hoop-column-rib configuration by the deployment and dynamic experiment.

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Section: Introductionmentioning

confidence: 99%

Dynamic characteristics and structural stability analysis of a large annular tensegrity structure with radial ribs

Shi

Guo

Liu

2023

Self Cite

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“…20–22 Wang and coworkers 23 described a technique called the two-step approach to develop new configurations of deployable pyramid truss modules. And Shi et al 24 put forward a method involving conceptual configuration synthesis with the help of graph theory to obtain a set of deployable quadrangular prismatic modules. Furthermore, reviewing all the previous works, it should be strongly pointed out that ideas of these methods are all based on the modular design, deployable truss modules are designed first, and deployable space truss structures are constructed by combining and connecting multiple identical deployable truss modules.…”

Section: Introductionmentioning

confidence: 99%

Conceptual configuration design of line-foldable deployable space truss structures employing graph theory

Wang

Zhao

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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From the perspective of the truss as a whole, this research investigates the conceptual configuration design for deployable space truss structures that are line-foldable with the help of graph theory. First, the bijection between a truss and its graph model is established. Therefore, operations can be performed based on graph models. Second, by introducing Maxwell’s rule, maximum clique, and chordless cycle, the principle of conceptual configuration synthesis is analyzed. A corresponding procedure is formed and it is verified by a truss with seven nodes. Third, assisted by some theorems of graph theory, the simplified double-color topological graph of deployable space truss structures is acquired and it also displays the procedure with a case. Finally, based on the above analysis, it obtains the optimal conceptual configurations. This novel research lays the foundation for kinematic synthesis and geometric dimension designs.

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“…12,13 Based on the Bennett linkages and screw theory, a design concept of a deployable cylindrical reflector was presented with an experimental prototype including the networking method and deployment property. [14][15][16] Several deployable mechanisms, which are composed of Bennett, 17 Bricard, 18 and scissor-link 19 linkages, have been proposed to support and deploy the antenna structure, 20 and the required parabolic surfaces are faceted by the flexible cables and reflective wire mesh. 21,22 Although these above design concepts can reduce the structural weight with the help of flexible cable nets and wire mesh, the indices of low areal density and high packaging ratio cannot be easily realized.…”

Section: Introductionmentioning

confidence: 99%

Innovative design of modular pantograph tensegrity deployable cylindrical reflectors

Zhang

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part G:

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To solve the problems of high areal density and low packaging ratio in available deployable cylindrical reflector antennas, an innovative design concept named the modular pantograph tensegrity deployable cylindrical reflector is proposed. The innovative design mainly consists of a pantograph tensegrity deployable truss, flexible cable nets, and reflective wire mesh surface. Based on the modular design concept, the pantograph tensegrity deployable truss can realize synchronous deployment in both parabolic and cylindrical directions. Compared with two typical deployable cylindrical reflectors, the proposed design has the advantages of lower areal density and higher packaging ratio. Simulations of performance analysis demonstrate the benefits of the innovative design.

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Conceptual configuration synthesis of line-foldable type quadrangular prismatic deployable unit based on graph theory

Cited by 25 publications

References 30 publications

Dynamic characteristics and structural stability analysis of a large annular tensegrity structure with radial ribs

Dynamic characteristics and structural stability analysis of a large annular tensegrity structure with radial ribs

Conceptual configuration design of line-foldable deployable space truss structures employing graph theory

Innovative design of modular pantograph tensegrity deployable cylindrical reflectors

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