Instability-Induced Origami Design by Topology Optimization

Abstract Instability-induced wrinkle patterns of thin sheets are ubiquitous in nature, which often result origami-like that provide inspiration for the engineering origami designs. Inspired by instability-induced patterns, we propose a computational design method based on nonlinear analysis loaded and topology optimization. The bar-and-hinge model is employed structural analysis, added with displacement perturbation strategy to initiate out-of-plane buckling. Borrowing ideas from optimization, continuous crease indicator introduced as variable indicate state crease, penalized power functions establish mapping relationships between hinge properties. Minimizing strain energy length constraint, able evolve sheet into an structure optimized pattern. Two examples different initial setups illustrated, demonstrating effectiveness feasibility method.