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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 20, Iss. 11 — Jun. 1, 1981
  • pp: 1983–1989

Calculation of the elastic deformations of the revolution membranes

P. Casal, C. Fayard, and B. Authier  »View Author Affiliations


Applied Optics, Vol. 20, Issue 11, pp. 1983-1989 (1981)
http://dx.doi.org/10.1364/AO.20.001983


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Abstract

Several applications, both on the ground and in space, are envisaged for large, light parabolic reflectors which are compact when folded. In this paper the aim is to calculate by a differential method the deformed meridian line and the creased zone of an elastic inflatable revolution membrane. Conversely, one can calculate the original meridian line which, under a given pressure, transforms into a selected meridian line, in this case parabolic. The theory is confirmed by the deformation measurements of a cap in 36-μm thick polyester film cut out of a sphere 4 m in diameter.

© 1981 Optical Society of America

History
Original Manuscript: January 12, 1981
Published: June 1, 1981

Citation
P. Casal, C. Fayard, and B. Authier, "Calculation of the elastic deformations of the revolution membranes," Appl. Opt. 20, 1983-1989 (1981)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-20-11-1983

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