Nonlinear Dynamics In Graded Waterbomb Origami Tubes
Résumé
The graded Waterbomb origami tube, an extension of the classic Waterbomb pattern, offers a versatile platform with potential applications in diverse fields. This periodic 3D structure can exhibit wave-like behavior along its longitudinal axis, making it intriguing for applications ranging from metamaterials to medical implants. Recent work has connected its wave properties to a discrete 2D dynamical system. We extend this concept by investigating the impact of introducing gradation into unit cells along tessellation lines. This introduces a non-autonomous nonlinear iterated map that generates ordered and disordered origami tubes based on deterministic and stochastic rules. In this study, we explore these dynamics and report their distinctive properties.