In large space structures, the numerous connecting hinges exhibit significant nonlinear characteristics that profoundly impact the structural dynamic properties. The accuracy of hinge parameters is crucial for ensuring the precision of structural dynamic models. This paper addresses the issue of large-scale hinge parameter optimization for a two-dimensional planar phased array antenna structure in space. Firstly, the structure of the antenna is introduced, and dynamic modeling is conducted using the finite element method. Then, a hinge parameter optimization method based on a clustering strategy is proposed, determining the optimal number of clusters and hinge parameters using a genetic algorithm. Subsequently, a piecewise approximation method is employed to handle the nonlinear vibration caused by hinge clearance. Finally, a genetic algorithm optimizes actuator positions, and a combination of LQR and Bang-Bang control algorithms is used for segmented linear vibration active control of the structure. Simulation results demonstrate that the proposed method effectively addresses large-scale hinge uncertainty and nonlinear vibration and control issues arising from hinge clearance.
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