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READ ME.txt
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=======================================================================================
CODE FOR SIMULATION OF ORIGAMI STRUCTURES WITH SMOOTH ELASTIC FOLDS
=======================================================================================
CODE USES:
- MATLAB (required)
- MATLAB's Parallel Computing Toolbox (for optional use)
=======================================================================================
TO EXECUTE THE SIMULATION:
- Open and Run in MATLAB the corresponding .m file with file name starting with INPUT
=======================================================================================
COMMENTS:
- The code reproduces the results presented in the paper described below
- The user can easily modify the fold patterns, material parameters, and applied loads
in the script
=======================================================================================
PAPER TITLE:
Modeling and analysis of origami structures with smooth folds
AUTHORS:
Edwin A. Peraza Hernandez, Darren J. Hartl, Ergun Akleman, and Dimitris C. Lagoudas
CONFERENCE:
Symposium on Solid & Physical Modeling 2016
JOURNAL:
Computer-Aided Design
DOI:
http://dx.doi.org/10.1016/j.cad.2016.05.010
URL:
http://www.sciencedirect.com/science/article/pii/S0010448516300306
KEYWORDS:
origami, folding, smooth folds, modeling, elastic
ABSTRACT:
Origami has the potential to impact numerous areas of design and manufacturing. Modeling
and analysis of origami structures allow for the understanding of their behavior and the
development of computational tools for their design. Most available origami models are
limited to the idealization of folds as creases of zeroth-order geometric continuity,
which is not proper for origami structures having non-negligible fold thickness or with
maximum curvature at the folds restricted by material limitations. Structural analysis of
origami sheets having creased folds requires further idealizations of the fold mechanical
response such as the representation of the folds as torsional springs. In view of this, a
novel model analogous to that for rigid origami is presented in this work for origami
structures having folds of non-zero surface area that exhibit higher-order geometric
continuity (termed smooth folds). This origami model allows for a proper structural
analysis of origami sheets using plate or shell representations for the folds. The shape
formulation of the smooth folds and the kinematic constraints on their associated shape
variables are presented. Modeling of origami structures with smooth folds exhibiting
elastic behavior is performed by determining the configuration of the structure that
minimizes its total potential energy subject to the derived kinematic constraints. The
presented results show that the structural response determined using the proposed model is
in good agreement with both experiments and higher-fidelity finite element analyses.
ACKNOWLEDGMENT:
This work was supported by the National Science Foundation and the Air Force Office of
Scientific Research under grant EFRI-1240483. Any opinions, findings, conclusions or
recommendations are those of the authors and do not necessarily reflect the views of the
National Science Foundation or the U.S. Air Force.
=======================================================================================
COMMENTS/SUGGESTIONS:
Send email to:
Edwin Alexander Peraza Hernandez
=======================================================================================
Copyright (c) 2016 Edwin Alexander Peraza Hernandez. All rights reserved.
TERMS OF USE:
1. Non-commercial redistribution is allowed if and only if the complete set of files is
distributed without any modification and including this document
2. Any use/modification of the code is allowed provided that any resulting works including
research publications, exhibitions, and educational workshops express a proper reference to
the related paper listed above
3. Any other type of usage of the code requires the authors' explicit permission.
Email: [email protected], [email protected]
THE CODE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE CODE OR THE USE OR OTHER DEALINGS WITH THE CODE.