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Instability Phenomena of Foldable Structures with Unilateral Contact

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 77))

Abstract

In [1] a new antenna design has been proposed. A physical antenna model revealed, unexpectedly, that contacts develop between panels of adjacent wings of the reflector during deployment. Due to the contacts, additional constraints are imposed on the motion, reducing the mobility to zero and thus, requiring some deformation for deployment. This paper adresses foldable structures of this kind. They can be modelled in terms of a multibody system, the mobility of which is reduced to zero due to the occurrence of unilateral contact.

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References

  1. S.D. Guest and S. Pellegrino, “A new concept for solid surface déployable antennas”, Acta Astronautica. 38, 103–113, (1996).

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  2. M. Schulz and S. Pellegrino. “Equilibrium Paths of Multibody Systems with Unilateral Contact — Part I: Theory”, accepted for publication in The Royal Society, Proceedings: Mathematical, Physical and Engineering Sciences.

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  3. G. Björkman, “Path following and critical points for contact problems”. Computational Mechanics. 10, 231–246 (1992).

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© 2000 Springer Science+Business Media Dordrecht

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Schulz, M. (2000). Instability Phenomena of Foldable Structures with Unilateral Contact. In: Van Dao, N., Kreuzer, E.J. (eds) IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems. Solid Mechanics and Its Applications, vol 77. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4150-5_27

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  • DOI: https://doi.org/10.1007/978-94-011-4150-5_27

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5809-4

  • Online ISBN: 978-94-011-4150-5

  • eBook Packages: Springer Book Archive

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