Mathematical Simulation of the Deformation of the Telescope Mirror Caused by Gravitational Force

摘要

Axisymmetric deformation of the space telescope main mirror caused by gravitational force is considered. Study is based on the three mathematical models: plate, thin shell and geometrically nonlinear shell. The distribution of displacement, strains and stresses on the concave surface of the thick space telescope main mirror and the thin space telescope main mirror under different clamping were obtained by numerical simulation. It is shown that adequate model choice depends on the boundary conditions and thickness of the mirror.