Programming quadric metasurfaces via infinitesimal origami maps of monohedral hexagonal tessellations: Part II

• DOI: 10.1098/rspa.2023.0449
• Publication Date: 2024-02-28T00:05:32Z
• Authors: Filipe A. dos Santos; Antonino Favata; Andrea Micheletti; Roberto Paroni; Marco Picchi Scar...
• Keywords: Quadric

In Part I of this study, it was shown that all the three known types monohedral hexagonal tessellations plane, those composed equal irregular hexagons, have just a single deformation mode when tiles are considered as rigid bodies hinged to each other along edges. A gallery tessellated plates simulated numerically demonstrate range achievable deformed shapes. II, displacement field first derived and continuous interpolant for type plate. It turns out corresponding metasurfaces described by quadrics. Afterwards, parametric analysis carried determine effect varying angles edge lengths on curvature, values geometric Poisson ratio plates. Finally, method fabrication is proposed based additive manufacturing stiff negligible deformability flexible connectors. Using modular technique, possible join together different able deform into piece-wise The nodal positions in configuration realized measured after enforcing one principal curvature assume chosen value. estimate confirms analytical predictions. presented permit realize doubly curved shape-morphing with assorted shapes, which also can feature certain surface roughness, they be employed applications demanding high accuracy few actuators or one.