On the self-weight sag of arch-like structures in the context of light-weight mirror design

Physics

Scientific paper

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Mirrors, Reflecting Telescopes, Structural Design, Structural Weight, Arches, Diffraction Patterns, Finite Element Method, Moire Effects, Optical Reflection, Shadowgraph Photography, Silicone Rubber, Temperature Gradients

Scientific paper

It is shown that arched structures are superior to solid disks as substrates for light-weight telescope mirrors. A finite-element formulation for an axisymmetric system is used to obtain self-weight deflections for various structural configurations within the envelope of a solid disk, and the superiority is demonstrated of arch-like designs over solid disks with respect to deflection and weight. Experiments with silicone rubber models confirm the theoretical predictions.

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