Abstract
Large size and high precision inflatable membrane antenna is a promising design for space-based structures. To accurately control its mechanical states, such as shape and stress, the parameter sensitivity of an inflatable membrane antenna is theoretically investigated in this study. Based on the developed analytical matrix model, the influence of loading conditions (pressure, pre-stress) and material properties (elastic modulus, Poisson's ratio) is evaluated, and the stability of inflatable membrane antenna is also demonstrated analytically. Using Taylor expansion, an explicit closed-form solution is obtained, which avoids solving the transcendental equations. The solution is verified by corresponding orthogonal experiment technique and numerical simulations. The research shows that the influence of the variation of the factors on the mechanical states of inflatable membrane antenna will not be amplified, and the ranking of the factors' weights is elastic modulus = pressure > Poisson's ratio > pre-stress.
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