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.

大尺寸和高精度充气膜天线是用于太空结构的有前途的设计。为了精确地控制其机械状态，例如形状和应力，本研究从理论上研究了充气膜天线的参数灵敏度。基于已开发的解析矩阵模型，评估了加载条件（压力，预应力）和材料特性（弹性模量，泊松比）的影响，并通过分析证明了充气膜天线的稳定性。使用泰勒展开式，可以得到一个显式的闭式解，从而避免了求解先验方程。通过相应的正交实验技术和数值模拟验证了该解决方案。