Normalized Coordinate Equations and an Energy Method for Predicting Natural Curved-Fold ConfigurationsSource: Journal of Applied Mechanics:;2019:;volume( 086 ):;issue: 007::page 71006Author:Badger, Jacob C.
,
Nelson, Todd G.
,
Lang, Robert J.
,
Halverson, Denise M.
,
Howell, Larry L.
DOI: 10.1115/1.4043285Publisher: American Society of Mechanical Engineers (ASME)
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 relationships. An energy method based on these normalized coordinate equations is developed to identify natural configurations of general curved folds. While it has been noted that natural configurations have nearly planar creases for curved folds, we show that nonplanar behavior near the crease ends substantially reduces the energy of a fold.
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contributor author | Badger, Jacob C. | |
contributor author | Nelson, Todd G. | |
contributor author | Lang, Robert J. | |
contributor author | Halverson, Denise M. | |
contributor author | Howell, Larry L. | |
date accessioned | 2019-09-18T09:07:07Z | |
date available | 2019-09-18T09:07:07Z | |
date copyright | 4/12/2019 12:00:00 AM | |
date issued | 2019 | |
identifier issn | 0021-8936 | |
identifier other | jam_86_7_071006 | |
identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4259070 | |
description 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 relationships. An energy method based on these normalized coordinate equations is developed to identify natural configurations of general curved folds. While it has been noted that natural configurations have nearly planar creases for curved folds, we show that nonplanar behavior near the crease ends substantially reduces the energy of a fold. | |
publisher | American Society of Mechanical Engineers (ASME) | |
title | Normalized Coordinate Equations and an Energy Method for Predicting Natural Curved-Fold Configurations | |
type | Journal Paper | |
journal volume | 86 | |
journal issue | 7 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.4043285 | |
journal fristpage | 71006 | |
journal lastpage | 071006-9 | |
tree | Journal of Applied Mechanics:;2019:;volume( 086 ):;issue: 007 | |
contenttype | Fulltext |