Mirror deformations due to thermal expansion of inserts bonded to glass

Computer Science – Numerical Analysis

Scientific paper

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Gravitational Effects, Mirrors, Plastic Deformation, Thermal Expansion, Thermal Stresses, Hole Distribution (Mechanics), Numerical Analysis, Support Systems, Temperature Gradients

Scientific paper

The support of mirrors often requires bonding inserts into holes in the mirror material. Temperature change and shrinkage of the bonding material and temperature change of the insert produce stresses that deform the optical surface. Using both classical analytical methods and finite element techniques the deformation of plates and shells due to temperature and shrinkage effects are computed. The depth of the hole can be chosen to minimize the deflection of the optical surface. A variety of geometries which include hole diameters both large and small compared to the plate thickness are studied. In addition to the general formulation of the problem, some quantitative results for the Keck Observatory Ten Meter Telescope mirror segments are presented.

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