Equivalent Dynamic Modeling of Super-Long Radar Antenna

In order to achieve high-precision vibration control of super-long radar antenna, it is necessary to establish an efficient dynamic model in the design stage and quickly and accurately predict the structural response. Based on the principle of energy equivalence, an equivalent beam model is established for the space truss structure with radar panel, and the natural characteristics of the structure are analyzed according to the finite element method. The displacement and strain components on the neutral axis of the periodic element are used to characterize the kinetic energy and strain energy of the structure, so as to realize the one-dimensional expression of the energy of the spatial structure. In order to describe the structural strain more accurately, the local deformation characteristics are considered and the strain derivative term is retained. The elastic and inertial matrices of the equivalent beam are obtained through the energy equivalence principle, and the finite element dynamic equations are established. The natural characteristics of the equivalent beam model are analyzed and discussed, and compared with the natural characteristics of the truss structure, the effectiveness of the equivalent model is verified. This modeling framework can transform a complex system into a simple full-drive system model through its energy-based formulation and comprehensive dynamic characterization, which lays foundation for implementing precise full-drive control strategies in subsequent vibration suppression system design.