4 November 1982 Telescope Mirror Supports: Plate Deflections On Point Supports
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Abstract
We describe the deflections of uniform-thickness plates supported by discrete points and by continuous rings. The calculations are based on the theory of deflections of thin plates. In some cases the effect of shear on the deflections is also included. The optimum locations of the support points for a wide variety of simple geometries are given. The deflections and methods for estimating the deflections for the limiting case of a large number of support points are also described. Since the slope errors induced in a mirror by its support may be relevant to optical image quality, we describe a method of relating the surface deflections to the surface slopes, and hence the geometric optics image blur that results from a support system. These results are particularly useful for the support of very thin mirrors, where the optimum support is needed.
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Jerry E. Nelson, Jacob Lubliner, Terry S. Mast, "Telescope Mirror Supports: Plate Deflections On Point Supports", Proc. SPIE 0332, Advanced Technology Optical Telescopes I, (4 November 1982); doi: 10.1117/12.933523; https://doi.org/10.1117/12.933523
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