Shape correction of initially flat inflated membranes by a genetic algorithm

Inflatable space structures have potential for use as large antennas, solar concentrators, or mirrors. Their light weight, low cost, and small packaged volume yield significant advantages over conventional structures. However, an initially flat membrane with a fixed boundary does not naturally assume the parabolic shape normally desired for an antenna or concentrator when inflated. The shape may also be imperfect due to material or manufacturing imperfections. Manipulation of the boundary conditions has been shown to improve the surface profile. A genetic algorithm is successfully used here to optimize the tensions in springs connecting the membrane to a fixed support to correct for a simulated imperfection in membrane thickness.