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Calculation of the elastic deformations of the revolution membranes
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-microm thick polyester film cut out of a sphere 4 m in diameter.
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