Large deployable mesh reflectors are essential for space applications, providing precise reflecting surfaces for high-gain antennas used in satellite communications, Earth observation, and deep-space missions. During on-orbit missions, active shape adjustment and attitude control are crucial for maintaining surface accuracy and proper orientation for these reflectors, ensuring optimal performance. Preventing resonance through thorough dynamic modeling and vibration analysis is vital to avoid structural damage and ensure stability and reliability. Existing dynamic modeling approaches, such as wave and finite element methods, often fail to accurately predict dynamic responses due to the limited capability of handling three-dimensional reflectors or the oversimplification of cable members of a reflector. This paper proposes the Cartesian spatial discretization method for dynamic modeling and vibration analysis of cable-network structures in large deployable mesh reflectors. This method defines cable member positions as a summation of internal and boundary-induced terms within a global Cartesian coordinate system. Numerical simulation on a two-dimensional cable-network structure and a center-feed mesh reflector demonstrates the superiority of the proposed method over traditional approaches, highlighting its accuracy and versatility, and establishing it as a robust tool for analyzing three-dimensional complex reflector configurations.

翻译：大型可展开网状反射器在空间应用中至关重要，其为卫星通信、地球观测和深空任务中使用的高增益天线提供精确的反射表面。在轨任务期间，主动形状调整和姿态控制对于维持这些反射器的表面精度和正确指向至关重要，以确保其最佳性能。通过彻底的动态建模和振动分析来防止共振，对于避免结构损伤、确保稳定性和可靠性极为重要。现有的动态建模方法，如波动法和有限元法，由于处理三维反射器的能力有限或对反射器索构件过度简化，常常无法准确预测动态响应。本文提出笛卡尔空间离散化方法，用于大型可展开网状反射器中索网结构的动态建模与振动分析。该方法在全局笛卡尔坐标系内，将索构件位置定义为内部项与边界诱导项之和。对二维索网结构和中心馈电网状反射器的数值仿真表明，所提方法优于传统方法，突显了其准确性和通用性，并确立了其作为分析三维复杂反射器构型的稳健工具的地位。