Vibration control in rotor chain structures with dual topological states

Rotor chains are mathematical-mechanical models used to analytically investigate wave propagation in periodic systems, such as folding-based mechanical metamaterials. These models facilitate the exploration of topological states in mechanical systems, enabling vibration localization and enhanced vibration isolation in specific structural regions. In this study, we present a one-dimensional rotor-chain system (RCS) model that employs bar-hinge elements while considering rotational stiffness and varying angles between the bars. By tuning key parameters, we realize dual types of topological states at both zero and finite frequencies. The analysis demonstrates that adjusting rotational stiffness and bar angles enables tunable vibration localization in different regions of the lattice. These findings provide valuable insight into controlling wave propagation and vibration isolation, laying the groundwork for designing robust mechanical systems, such as origami-based structures, with applications in aerospace, deployable systems, and noise and vibration control technologies.