Keywords

mechanical engineering, energy method, curved fold, configurations, origami

Abstract

Of the many valid configurations that a curved fold may assume, it is of particular interest to identify natural—or lowest energy—configurations that physical models will preferentially assume. We present normalized coordinate equations—equations that relate fold surface properties

to their edge of regression—to simplify curved-fold rela- tionships. An energy method based on these normalized

coordinate equations is developed to identify natural con- figurations of general curved folds. While it has been noted

that natural configurations have nearly planar creases for curved folds, we show that non-planar behavior near the crease ends substantially reduces the energy of a fold.

Original Publication Citation

"Badger, J., Nelson, T.G., Lang, R.J., Halverson, D.M., Howell, L.L., “Normalized Coordinate Equations and an Energy Method for Predicting Natural Curved-Fold Configurations,” ASME Journal of Applied Mechanics, Vol. 86, No. 7, 071006-1 to 071006-9, DOI: 10.1115/1.4043285, 2019."

Document Type

Peer-Reviewed Article

Publication Date

2023-01-31

Publisher

ASME: Journal of Applied Mechanics

Language

English

College

Ira A. Fulton College of Engineering

Department

Mechanical Engineering

University Standing at Time of Publication

Full Professor

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