Dynamics of graded Waterbomb origami tubes: Ordered and disordered structures
Résumé
The graded Waterbomb origami tube, derived from the traditional Waterbomb pattern, represents a versatile structure with wide-ranging applications. This periodic three-dimensional formation can exhibit longitudinal wave-like behaviors, making it valuable for uses in metamaterials, medical implants, and beyond. Recent studies have linked its wave dynamics to a discrete two-dimensional dynamical system. In our research, we extend this by examining the effects of introducing gradation into the unit cells along tessellation lines. This leads to the development of a non-autonomous nonlinear iterated map, capable of generating both ordered and disordered origami tubes based on deterministic and stochastic rules. We investigate these dynamics and highlight their unique characteristics.