Limited by the effective launch capacity of a rocket, the deployable antenna is very important in the design of spaceborne antenna array. Compared to traditional deployable antenna, flexible coilable antenna array has higher surface precision and better vibration control and therefore is more suitable for high frequency communication. In order to minimize the weight of satellite and reduce cost of its launch, a design guideline to the geometry parameters of flexible coilable antenna array is crucial. Existing models cannot be directly applied to interaction and large deformation between coilable membrane and conical spiral antenna in the flexible coilable antenna array. Hence, the geometry parameters of the conical spiral structure and the thickness of the coilable membrane in the flexible coilable antenna array have not been optimized yet. In this paper, the interaction between the coilable membrane and the concial spiral antenna is analyzed in the antenna array. A concise formula is derived to predict the critical force that flattens the conical spiral antenna by a coiling scroll. Combined with a theoretical model to predict the deformation of the membrane, the model provides an important theoretical support for the lightweight design and mechanical design of flexible coilable antenna array, such as the thickness of the coilable membrane. The proposed design is validated by experiments. The above findings have potential applications in the effective reduction of antenna array weight and satellite launch costs.

中文翻译：

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柔性可绕天线阵列锥形螺旋结构的力学设计

受限于火箭的有效发射能力，可展开天线在星载天线阵的设计中非常重要。与传统的可展开天线相比，柔性可卷曲天线阵列具有更高的表面精度和更好的振动控制能力，因此更适合高频通信。为了最大限度地减轻卫星的重量并降低其发射成本，柔性可卷曲天线阵列的几何参数设计指南至关重要。现有模型不能直接应用于柔性可卷天线阵列中可卷膜与锥形螺旋天线之间的相互作用和大变形。因此，柔性可绕天线阵列中锥形螺旋结构的几何参数和可绕膜的厚度尚未优化。本文在天线阵列中分析了可卷膜与锥形螺旋天线之间的相互作用。推导了一个简洁的公式来预测通过螺旋涡旋使锥形螺旋天线变平的临界力。结合理论模型预测膜片的变形，该模型为柔性可卷曲天线阵列的轻量化设计和机械设计，如可卷曲膜片的厚度等提供了重要的理论支持。所提出的设计通过实验得到验证。上述发现在有效降低天线阵列重量和卫星发射成本方面具有潜在应用。推导了一个简洁的公式来预测通过螺旋涡旋使锥形螺旋天线变平的临界力。结合理论模型预测膜片的变形，该模型为柔性可卷曲天线阵列的轻量化设计和机械设计，如可卷曲膜片的厚度等提供了重要的理论支持。所提出的设计通过实验得到验证。上述发现在有效降低天线阵列重量和卫星发射成本方面具有潜在应用。推导了一个简洁的公式来预测通过螺旋涡旋使锥形螺旋天线变平的临界力。结合理论模型预测膜片的变形，该模型为柔性可卷曲天线阵列的轻量化设计和机械设计，如可卷曲膜片的厚度等提供了重要的理论支持。所提出的设计通过实验得到验证。上述发现在有效降低天线阵列重量和卫星发射成本方面具有潜在应用。例如可卷曲膜的厚度。所提出的设计通过实验得到验证。上述发现在有效降低天线阵列重量和卫星发射成本方面具有潜在应用。例如可卷曲膜的厚度。所提出的设计通过实验得到验证。上述发现在有效降低天线阵列重量和卫星发射成本方面具有潜在应用。