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Form-Finding of a Tensegrity

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Computational Modeling of Tensegrity Structures
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Abstract

In this chapter, we will discuss in detail some simple tensegrity structures. In the context of tensegrity structures, various mathematical tools are illustrated clearly which can be applied for tensegrity form-finding. Some of the tensegrity structures are simple enough so that the member lengths can be expressed in algebraic formulas. With the help of a computer, the numerical calculation codes are provided to experimentation the formulations. These native methods deal clearly with distances and angular measurements related to the algebra and trigonometry problems.

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References

  • Calladine C (1978) Buckminster Fuller’s ‘tensegrity’ structures and clerk Maxwell’s rules for the construction of stiff frames. Int J Solids Struct 14(2):161–172

    Article  Google Scholar 

  • Calladine C, Pellegrino S (1991) First-order infinitesimal mechanisms. Int J Solids Struct 27(4):505–515

    Article  MathSciNet  Google Scholar 

  • Calladine C, Pellegrino S (1992) Further remarks on the first-order infinitesimal mechanisms. Int J Solids Struct 29(17):2119–2122

    Article  Google Scholar 

  • Connely R (2013) What is … a tensegrity? Notice Am Math Soc 60(1):78–80

    MathSciNet  Google Scholar 

  • Guest S (2006) The stiffness of prestressed frameworks: a unifying approach. Int J Solids Struct 43(3–4):842–854

    Article  Google Scholar 

  • Murakami H (2001) Static and dynamic analyses of tensegrity structures. II. Quasi-static analysis. Int J Solids Struct 38(20):3615–3629

    Article  Google Scholar 

  • Murakami H, Nishimura Y (2001) Initial shape finding and modal analyses of cyclic right-cylindrical tensegrity modules. Comput Struct 79(9):891–917

    Article  Google Scholar 

Further Reading

  • Fuller RB (1975) Synergetics: explorations in the geometry of thinking. Collier Macmillan Publishers, London

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  • Fuller RB, Marks RW (1973) The Dymaxion world of Buckminster Fuller. Doubleday Anchor Books, New York

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  • Heartney E (2009) Kenneth Snelson: forces made visible. Hudson Hills Press Incorporation. US

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  • Kenner H (1976) Geodesic math and how to use it. University of California Press, Berkeley

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  • Motro R (2003) Tensegrity: structural systems for the future. An imprint of Kogan Page Limited, London

    Book  Google Scholar 

  • Pugh A (1976) An introduction to tensegrity. University of California Press, Berkeley

    Google Scholar 

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Gan, B.S. (2020). Form-Finding of a Tensegrity. In: Computational Modeling of Tensegrity Structures. Springer, Cham. https://doi.org/10.1007/978-3-030-17836-9_4

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  • DOI: https://doi.org/10.1007/978-3-030-17836-9_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-17835-2

  • Online ISBN: 978-3-030-17836-9

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