Mechanism and Parametric Study of Double-Layer Multibar Tensegrity Structures

This study investigates the construction mechanism of double-layer multibar tensegrity structures through comprehensive analytical and computational approaches. By developing a systematic splicing strategy for basic structural units, we establish the nonlinear equilibrium equations governing these complex systems. The self-stressed equilibrium parameters are numerically determined using particle swarm optimization, revealing fundamental relationships among structural configuration, the number of bars, and the scale parameters. Our analysis characterizes the mapping relationships between key geometric parameters (including horizontal surface radius ratio, overlap ratio, and bar count) and resulting mechanical properties. The results demonstrate that these double-layer structures exhibit pronounced symmetric characteristics similar to prismatic tensegrity units. The main factors that affect the stiffness of the structure include horizontal surface radius ratio, overlap ratio, prestress number of bars, and configuration. Importantly, this work elucidates the structural response mechanism under multiparameter coupling conditions, establishing a universal theoretical framework that enables systematic modular design and performance optimization of complex tensegrity systems.