Foldable Structures Adapted From Tessellation Origami With High Degree Of Freedom
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Date
2018-03-01
Authors
Chai, Chen Chu
Journal Title
Journal ISSN
Volume Title
Publisher
Universiti Sains Malaysia
Abstract
Geometrical shape of folded structure is closely related to origami especially
the tessellation origami. Tessellation origami which has flexible folding mechanism
provides a folded configuration with facetted surface as a result from repeated
folding pattern. Flexible folding mechanism is an under constraint system due to its
high degree-of-freedom. The flexibility of folding mechanism is controlled by the
fold angle imposed on the actuators. Currently available method of folding
simulation was found to be not able to simulate tessellation origami with high
degree-of-freedom. Hence, this research is conducted with the aim to develop the
procedure for simulation of tessellation origami with high-degree of freedom through
the control of actuators. The first objective of this research is the identification of
geometric considerations for folding pattern with flexible mechanism. 40 numbers
of actual tessellation origami were first re-produced to study the relation between the
geometric characteristics of the corresponding mountain valley pattern on the
flexibility of the physical behaviour of the replica model. Geometric considerations
affecting the folding mechanism were identified by investigating the local degree-of-freedom of the crease line pattern through the use of a procedure for the computation
of local degree-of-freedom of the mechanism proposed in this research. The second
objective is the development of an alternative simulation approach using generative
algorithm. A generative modeling tool using visual programming editor
Grasshopper® which provides a more realistic simulation tool by incorporating the
kinematic property of the origami was developed. The last objective of this research
is the determination of the folded configuration in relation to the control system for
actuators. Six tessellation origami models consisting of three variations of Miura-ori,
Russo’s Optical Illusion, Yoshimura and Ron Resch pattern were selected to
investigate the transformation under different paths using the generative modeling
tool. Transformations under different combination of the distance between actuator
and curvature of an imaginary curve connecting all actuators have yielded a wide
variety of folded configurations with non-synchonised local folding pattern for the
six tessellation origami models.