Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 104))

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Abstract

This paper is concerned with both statically and kinematically indeterminate bar-and-joint assemblies. It investigates whether the kinematic indeterminacy appears in the form of a first-order or a higher-order infinitesimal mechanism. It is shown that the method by Calladine and Pellegrino and the method by Kuznetsov can be synthesized in a unified approach based on the Hellinger-Reissner principle. In the case of a single state of self-stress, examples are presented.

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Tarnai, T., Szabó, J. (2002). Rigidity and Stability of Prestressed Infinitesimal Mechanisms. In: Drew, H.R., Pellegrino, S. (eds) New Approaches to Structural Mechanics, Shells and Biological Structures. Solid Mechanics and Its Applications, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9930-6_20

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  • DOI: https://doi.org/10.1007/978-94-015-9930-6_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6120-1

  • Online ISBN: 978-94-015-9930-6

  • eBook Packages: Springer Book Archive

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