Normalized Coordinate Equations and an Energy Method for Predicting Natural Curved-Fold Configurations
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Apr 12, 2019
- Source ID
- 10.1115/1.4043285
Entities
People
- Denise M. Halverson
- Jacob Badger
- Larry L Howell
- Robert J. Lang
- Todd G. Nelson
Organizations
- Air Force Office of Scientific Research
- Brigham Young University
- National Science Foundation
- University of Southern Indiana