Design of Lightweight Deployable Antennas Using the Tensegrity Principle

Krishnan, Sudarshan; Li, Bingyan

doi:10.1061/9780784481899.084

Cited by 11 publications

(3 citation statements)

References 8 publications

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“…In the case of the transmission tower, the tensegrity reduces the area of the base of the tower, making it more compact and easier to deploy [83]. In space exploration, tensegrity has also been proposed as a solution for lunar structures and for designing lightweight, high-capacity antennas [79] [84]. With cable length control, tensegrity can effectively deploy antennas and ensure their stability.…”

Section: Applicationsmentioning

confidence: 99%

Untitled

2023

JESTR

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Tensegrity is composed of structures that are characterized by compressive elements (bars) and tension elements (cables) that work together to transmit and/or withstand forces in an efficient and balanced manner. Their kinetic analysis, design, and control are study topics with various methods still being explored. Furthermore, research and development have been conducted in different areas such as architecture, engineering, biomechanics and robotics, exploring lightweight and resilient tensegrity structures for more flexible and adaptable movements. Tensegrity is a structure increasingly used and studied in different areas, thanks to its ability to transmit forces efficiently and its versatility in the application of designs and solutions in different areas. So, this review presents initial definitions of this area, as well as recent methods and applications that have been developed and are the focus of study for future advances.

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Section: Applicationsmentioning

confidence: 99%

Untitled

2023

JESTR

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“…Mathematical elegance is also recognized, because both compressive and tensile members can be treated as the same elements, differing only in the signs of their force densities. Furthermore, many "barsonly" tensegrities are found to be deployable using simple cable-based actuations [4][5][6]. Thus, this trend of development is mostly seen in civil engineering [7][8][9] and aerospace [10][11][12], etc.…”

Section: Introductionmentioning

confidence: 99%

A Unified Framework for Dynamic Analysis of Tensegrity Structures with Arbitrary Rigid Bodies and Rigid Bars

Luo¹,

Wu²,

Xu³

2022

Preprint

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This paper develops a unified framework to study the dynamics of tensegrity systems with any arbitrary rigid bodies and rigid bars. The natural coordinates are adopted as a completely non-minimal modeling approach to describe both rigid bodies and rigid bars in terms of different combinations of basic points and base vectors. Various coordinate combinations are then unified into polymorphic expressions that succinctly encompass Class-1-to-k tensegrities. Then, the Lagranged'Alembert principle is employed to derive the dynamic equation, which has a constant mass matrix and is free from trigonometric functions as well as centrifugal and Coriolis terms. For numerical analysis of nonlinear dynamics, a modified symplectic integration scheme is derived, accommodating non-conservative forces and boundary conditions. Additionally, formulations for statics and linearized dynamics around static equilibrium states are derived to help determine cable actuation values and calculate natural frequencies and mode shapes, which are commonly needed for structural analyses. Numerical examples are given to demonstrate the proposed approach's abilities in modeling tensegrity structures composed of Class-1-to-k modules and conducting dynamic simulations with complex conditions, including slack cables, gravity loads, seismic grounds, and cable-based deployments. Finally, two novel designs of tensegrity structures exemplify new ways to create multi-functional composite structures.

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“…Tensegrity structure, first proposed by Fuller (1962), is a spatially stable structure consisting of discontinuous compression struts inside a set of continuous tension cables. Due to the advantages of innovative forms, light-weight and deployability, tensegrity structures have been widely investigated and used in architecture and civil engineering (Gilewskiet al, 2015, Jáuregui, 2020, aerospace (Tibert and Pellegrino, 2002, Krishnan, S., and Li, B., 2018, Chen, M., Goyal, R., Majji, M., and Skelton, R. E., 2020, robotics (Liu, Y. andBi, Q., et al, 2022, Shah, D. S. andBooth, J. W., et al, 2021), biology (Lu, B. andVecchioni, S., et al, 2021, Bansod, Y. D. andMatsumoto, T., et al, 2018) over the past few decades. Form-finding, namely the determination of their geometrical configurations at the equilibrium state, is a key step in the design of tensegrity structures.…”

Section: Introductionmentioning

confidence: 99%

Automatic Form-finding of N-4 Type Tensegrity Structures

Yang

Ji³

2022

Lat. Am. j. solids struct.

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Numerical form-finding is an effective method for determining the equilibrium configurations of tensegrity structures. However, the connectivity matrix is required to be input as initial data in most form-finding methods, and it is time-consuming and inconvenient for the designer in processing a complex structure with a large number of components. To address this issue, a novel automatic method of generating a connectivity matrix is proposed for three dimensional N-4 type tensegrity structures in this paper. The novelty of our algorithm is that the number of nodes is the only required parameter for the proposed method. Numerical examples are employed to validate our method. The results show that the proposed method is competent inform-finding for three-dimensional N-4 type tensegrity structures in terms of accuracy, efficiency and convergence.

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Design of Lightweight Deployable Antennas Using the Tensegrity Principle

Cited by 11 publications

References 8 publications

Untitled

Untitled

A Unified Framework for Dynamic Analysis of Tensegrity Structures with Arbitrary Rigid Bodies and Rigid Bars

Automatic Form-finding of N-4 Type Tensegrity Structures

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