Abstract
The current trend in the aerospace industry is towards deployable structures that are simpler, and hence cheaper and more reliable. Therefore, structures that require movable joints are being replaced by flexible structures that can be folded elastically. Thin shell structures are the ideal choice for this because, provided that folding does not involve a significant amount of mid-surface stretching, the stresses due to bending can be made as small as required to avoid yielding of the material, by choosing a sufficiently small thickness for the shell. Two examples of this “new” type of deployable structures will be discussed in this chapter.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anon. (1994) Hughes Graphite Antennas installed on MSAT-2 Craft, Space News, 14–20 November, p. 13.
Calladine, C. R. (1983) Theory of shell structures. Cambridge University Press.
Calladine, C. R. (1988) The theory of thin shell structures 1888–1988. Proceedings of the Institution of Mechanical Engineers, 202: 1–9.
Chater, E. and Hutchinson, J. W. (1984) On the propagation of bulges and buckles. Journal of Applied Mechanics, 51: 269–277.
Chater, E., Hutchinson, J. W.. and Neale, K.W. (1983) Buckle propagation on a beam on a nonlinear elastic foundation. In Collapse (ed. J.M.T. Thompson and G.W. Hunt ), 31–41. Cambridge: Cambridge University Press.
Fischer, A. (1995) Bending instabilities of thin-walled transversely curved metallic springs. Cambridge University Engineering Department Report CUED/D-STRUCT/TR 154.
Guest, S. D. and Pellegrino, S. (1996) A new concept for solid surface deployable antennas, Acta Astronautica, 38: 103–113.
Hibbit, Karlsson and Sorensen (1994) ABAQUS Version 5.4. Pawtucket: Hibbit, Karlsson and Sorensen Ltd.
Hooke, R. and Jeeves, T.A. (1961) “Direct search” solution of numerical and statistical problems, Journal of the Association for Computing Machinery, 8: 212–229.
Kyriakides, S. (1994) Propagating instabilities in structures. In Advances in Applied Mechanics (ed. J. W. Hutchinson and T. Y. Wu ), 67–189. Boston: Academic Press.
Mansfield, E. H. (1973) Large-deflexion torsion and flexure of initially curved strips. Proceedings of the Royal Society of London, Series A, 334: 279–298.
Panovko, Y. G. and Gubanova, I. I. (1965) Stabilities and oscillations of elastic systems: paradoxes, fallacies and new concepts, New York: Consultants Bureau.
Riks, E. (1972) The application of Newton’s method to the problem of elastic stability. Journal of Applied Mechanics, 39: 1060–1066.
Rimrott, F. P. J. (1970) Querschnittsverformung bei Torsion offener Profile. ZeitscIir ftfur angewandte Mathematik und Mechanik, 50: 775–778.
Seffen, K. A. and Pellegrino, S. (1999). Deployment dynamics of tape springs. Proceedings of the Royal Society of London, Series A, 455: 1003–1048.
Tibbalds, B., Guest, S. D. and Pellegrino, S. (1998). Folding concept for flexible surface reflectors. In Proc. 39th AIAAASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference,20–23 April, 1998 Long Beach, CA, 1193–1201. AIAA-98–1836.
Wuest, W. (1954) Einige Anvendungen der Theorie der Zylinderschale. Zeitschrift fur angewandte Mathematik und Mechanik; 34: 444–454.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Wien
About this chapter
Cite this chapter
Pellegrino, S. (2001). Elastic Folding of Shell Structures. In: Pellegrino, S. (eds) Deployable Structures. International Centre for Mechanical Sciences, vol 412. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2584-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2584-7_5
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83685-9
Online ISBN: 978-3-7091-2584-7
eBook Packages: Springer Book Archive