Active Origami by Edwin A. Peraza Hernandez & Darren J. Hartl & Dimitris C. Lagoudas

Author:Edwin A. Peraza Hernandez & Darren J. Hartl & Dimitris C. Lagoudas
Language: eng
Format: epub
ISBN: 9783319918662
Publisher: Springer International Publishing

In Sect. 5.2, we formalize the concepts and assumptions made in the new kinematic model, especially as related to the model for origami with creased folds presented in Chap. 2. The chapter continues with the mathematical description of smooth folds in Sect. 5.3. In Sect. 5.4, we provide the mathematical description of the fold pattern in origami sheets with smooth folds. Subsequently, we address the kinematic constraints that restrict the possible fold patterns and folding motions for origami structures with smooth folds in Sect. 5.5. The formulation that maps the reference configuration of a sheet to all other possible configurations is examined in Sect. 5.6. The implementation of the model in a computational framework is addressed in Sect. 5.7, while Sect. 5.8 presents simulation results of sheets having different fold patterns that demonstrate the kinematic responses captured by the model. Upon the study of this chapter, the reader will be able to derive the kinematic model for origami with smooth folds and to implement it in a computational framework. The Supplemental Material associated with this chapter provides the reader with a number of MATLAB® scripts that represent such an implementation.

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