Abstract:This paper proposes a new strategy for addressing the large-scale flexible hinge parameter determination problem, using a large-scale planar phased array antenna structure as the study object. First, it introduces the structural form of the large-scale two-dimensional planar phased array antenna, an antenna assembled in orbit. Then, using the finite element method, the paper models the antenna structure's dynamics, highlighting the impact of hinge flexibility on the overall system dynamics equations. To address individual differences among the numerous hinges, a grouping-based optimization method is proposed, which classifies hinges into groups and optimizes the number of groups to reduce the problem's complexity. Finally, numerical simulations validate the proposed method’s effectiveness. The results indicate that hinge flexibility significantly reduces the antenna structure's natural frequency and alters its vibration modes, demonstrating that the proposed method effectively addresses large-scale hinge flexibility issues.