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EVALUATION OF THE ACCURACY OF FLEXIBLE PARABOLOIDAL SURFACES OF TRANSFORMABLE REFLECTORS USING FINITE ELEMENT METHOD
Abstract
The issue of improving the shape of paraboloidal surfaces of transformable reflectors is still considered one of the most challenging problems. In modern transformable reflectors, the paraboloidal shape of the center of deployable reflectors is ensured by placing nodes of a flexible tape grid. It is accepted that the maximum accuracy of the parabolic surface is achieved under conditions of equal loads of the nodes. Changes in the geometry of the paraboloidal surface of the reflectors mainly develop in the peripheral zone of the grid, which is largely due to the design solution of the flexible grid. As a rule, the peripheral part of the flexible mesh contains non-uniform triangulation elements of tape grid. Numerical modelling of the calculation scheme for equal tension force in tensioners located in the nodes shows that the surface obtained with the equal load in the nodes, undergoes significant deviations from the target paraboloid surface in the peripheral part of grid. This inaccuracy undoubtedly reduces the efficiency of reflectors during operation. By numerical modelling it is possible to select the tension force for individual tensioners of the flexible tape nodes, to obtain the target analytical paraboloid surface shape. Additionally, two ways to increase the accuracy of a flexible triangular mesh are proposed, by reducing the width of the peripheral zone and by using a design solution with a uniform structure of the peripheral zone. The ratio of area of peripheral zone to the full paraboloidal surface is proposed for evaluating reflecting ability of surface.
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