Kinematics of Origami Structures with Creased Folds

Having reviewed the existing and potential engineering applications of active origami structures in Chap. 1, it is evident that such structures have significant complexity in their geometry and motion. Therefore, mathematical models for origami are needed to enable the development of advanced active origami structures. The following assumptions generally apply to the development of mathematical models for origami: folds are straight creases (termed as creased folds ), and planar faces bounded by the folds and the sheet boundary are rigid (i.e., these faces do not stretch or bend). In this chapter, we present a kinematic model for origami based on such assumptions. We also address the implementation of the model in a computational environment.

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