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Form-Finding of a Tensegrity

  • Buntara Sthenly Gan
Chapter

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.

Keywords

Inconsistent Indefinite Null-space Singular Non-regular Rank Generalized inverse Pseudoinverse Minimum norm solution Residual vector Least squares solution Rank factorization 

References

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Further Reading

  1. Fuller RB (1975) Synergetics: explorations in the geometry of thinking. Collier Macmillan Publishers, LondonGoogle Scholar
  2. Fuller RB, Marks RW (1973) The Dymaxion world of Buckminster Fuller. Doubleday Anchor Books, New YorkGoogle Scholar
  3. Heartney E (2009) Kenneth Snelson: forces made visible. Hudson Hills Press Incorporation. USGoogle Scholar
  4. Kenner H (1976) Geodesic math and how to use it. University of California Press, BerkeleyGoogle Scholar
  5. Motro R (2003) Tensegrity: structural systems for the future. An imprint of Kogan Page Limited, LondonCrossRefGoogle Scholar
  6. Pugh A (1976) An introduction to tensegrity. University of California Press, BerkeleyGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Buntara Sthenly Gan
    • 1
  1. 1.Department of ArchitectureNihon University, College of EngineeringKoriyamaJapan

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