Kinematics of Origami Structures with Smooth Folds

A kinematic model for origami with creased folds was presented in Chap. 2 and most existing models for origami also assume that folds are straight creases. However, such previous models are not intended for origami structures having non-negligible fold thickness or maximum fold curvature constraints based on material or structural limitations. In this chapter, we develop a model that captures the kinematic response of sheets having realistic folds of non-zero surface area and exhibiting higher-order geometric continuity, referred to as smooth folds. The geometry of smooth folds and the constraints on their associated kinematic variables are presented. We also address the implementation of the model in a computational environment and provide various representative examples.

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