Publication: A Computational Study On Structural Behaviour Of Surfaces With Curved Fold Lines
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Date
2021-08-01
Authors
Khor, Yong Yee
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Abstract
Surface with curved creases derived from origami can be advantageous in roof
structures which can improve strength while preserving the aesthetic values. However,
there is still a great deal of ambiguity and insufficient research on the potential use of
curved fold lines. This study targets to formulate a systematic computational method for
the generation of surface with curved creases with different factors governing the surface
configuration. This study also aims to investigate the effects of pattern of curved crease
folds, thickness of surface and the change of the rise-span ratio on structural behaviour
of surface with curved crease in terms of load-carrying capacity and stiffness. Several
criteria had been established for the selection of origami with curved creases based on
the extensive collection by the previous researcher. The outcome shows three origami
models have potential application in roofing systems, namely Non-inflated Degree-4
Vertices, Four Circular Mountain Ridge Curves and Four Elliptical Mountain Ridge
Curves. Image Capturing Method (ICM) is adopted to develop the outlines of the origami
models and the elevation profiles from the raster 3-D paper forms. Surface formation is
then proceeded before the finite element analysis. These origami models are then scaled
with 100 and assigned with additional analytical properties to evaluate the structural
performance. Finite element analysis under self-weight condition only is carried out
corresponding to the adjustments, i.e., elevation profiles of curved fold lines, overall risespan
ratio and surface thickness. The best-performing model in terms of better stress
distribution and lower displacement with the consideration of self-weight is then
selected. The results obtained from the variation of elevation profiles of curved fold lines
show that all models under the category of Model 01 (Non-inflated Degree-4 Vertices)
and Model 02 (Four Circular Mountain Ridge Curves) failed to meet the tensile stress
limit. Comparing these two types of models, Model 01 shows relatively higher stress and
displacement. In contrast, only the models under category of Model 03 satisfy the stress
limit. This is mainly due to the geometry patterns of the origami models which lead to
different stress distributions over the surfaces. For the rest of the modifications, the FE
results show that all models under the category Model 03 are still within the allowable
stress and deflection limits with slight variation. Therefore, the presence of curved fold
lines and the greater overall effective depth of the structure help to enhance the
performance in load-carrying capacity.