Analysis of Non-Traditional Kinematic Couplings Configurations on a Deployed Structures First Mode

This study investigates kinematic coupling configurations for the Solid Underconstrained Multi-Frequency (SUM) antenna as a solution for cost-effective, high-frequency, wide-bandwidth deployable reflectors in Earth science space missions. Deployable reflectors operating above 90 GHz face limitations, and the SUM antenna's innovative design addresses these challenges by incorporating semi-hexagonal aperture segments, high-strain rods, and precise kinematic couplings. This paper presents the results from modeling of the kinematic coupling between two segments, to optimize the design for stowed height while not impacting the first mode of the deployed structure. The model is validated through hand-calculations and finite-element simulations to ensure the accuracy of the modeling approach. Parametric studies explore coupling configurations, revealing that a deviation from a standard Maxwell arrangement can achieve space efficiency without compromising the structures first mode. The results provide insights into kinematic coupling design optimization for constrained spaces, offering engineers a tool to tailor similar systems to specific mission requirements. The presented modeling approach is adaptable to many other deployable structures and includes a MATLAB codes in the appendix for analysis.