Nonlinear Dynamics in Graded Waterbomb Origami Tubes

Resumo

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.