Cable-layout optimization of a tensioned antenna deployable structure considering dynamic constraints

This study presents a comprehensive methodology for optimizing the cable layout of tensioned deployable structures in space antennas, addressing critical challenges such as redundant arrangements, cable wrapping, and stiffness degradation. An improved nonlinear finite element method is proposed, incorporating stiffness matrix modifications due to internal force redistribution, and an accurate mechanical model is established to account for cables’ inability to bear compressive loads. The optimization framework integrates force density principles with the nonlinear finite element method to ensure surface accuracy and structural stiffness. A genetic algorithm is employed to identify and eliminate slack and redundant cables through real-time internal force calculations, thereby determining the optimal cable configuration. Numerical simulations and experimental validations demonstrate the method’s efficacy in achieving minimal surface-accuracy-to-natural-frequency ratios while adhering to dynamic constraints. The results highlight the method’s potential for enhancing the performance of large-scale deployable structures in space applications.