Abstract
The purpose of this paper is to obtain an optimum thickness distribution of an inflatable membrane reflector which consists of two circular membranes attached at their edges. The deflection analysis of the membrane is based on the large deflection theory of plate. In numerical simulation, the finite element method is used. In the optimization, the objective function is the surface profile error between the paraboloid and the inflated shape of membrane, and the discrete distribution of optimum thickness is obtained. In addition, the simulation for experiment is performed under a restricted condition in thickness. Based on this result, a circular membrane with optimized thickness profile is produced and the shape measurement experiment is performed.
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