Distribution of linear mesostructures in oblique folded surfaces: Unravelling superposed Ordovician and Variscan folds in the Pyrenees

2012 ◽  
Vol 44 ◽  
pp. 141-150 ◽  
Author(s):  
Josep Maria Casas ◽  
Pilar Queralt ◽  
Joana Mencos ◽  
Oscar Gratacós
Keyword(s):  
Folded Surfaces

Geometry and Kinematics of Cylindrical Waterbomb Tessellation

2021 ◽  
Author(s):  
Rinki Imada ◽  
Tomohiro Tachi
Keyword(s):  
Dynamical System ◽  
Recurrence Relation ◽  
Discrete Dynamical System ◽  
Kinematic Model ◽  
Theoretical Reason ◽  
Finite Solution ◽  
Geometry And Kinematics ◽  
Folded Surfaces

Abstract Folded surfaces of origami tessellations have attracted much attention because they sometimes exhibit non-trivial behaviors. It is known that cylindrical folded surfaces of waterbomb tessellation called waterbomb tube can transform into wave-like surfaces, which is a unique phenomenon not observed on other tessellations. However, the theoretical reason why wave-like surfaces arise has been unclear. In this paper, we provide a kinematic model of waterbomb tube by parameterizing the geometry of a module of waterbomb tessellation and derive a recurrence relation between the modules. Through the visualization of the configurations of waterbomb tubes under the proposed kinematic model, we classify solutions into three classes: cylinder solution, wave-like solution, and finite solution. Furthermore, we give proof of the existence of a wave-like solution around one of the cylinder solutions by applying the knowledge of the discrete dynamical system to the recurrence relation.

scholarly journals String Actuated Curved Folded Surfaces

2017 ◽  
Vol 36 (3) ◽  
pp. 1-13 ◽  
Author(s):  
Martin Kilian ◽  
Aron Monszpart ◽  
Niloy J. Mitra
Keyword(s):  
Folded Surfaces

A localized meshless method for diffusion on folded surfaces

2015 ◽  
Vol 297 ◽  
pp. 194-206 ◽  
Author(s):  
Ka Chun Cheung ◽  
Leevan Ling ◽  
Steven J. Ruuth
Keyword(s):  
Meshless Method ◽  
Folded Surfaces

scholarly journals String actuated curved folded surfaces

2017 ◽  
Vol 36 (4) ◽  
pp. 1 ◽  
Author(s):  
Martin Kilian ◽  
Aron Monszpart ◽  
Niloy J. Mitra
Keyword(s):  
Folded Surfaces

Realtime Shading of Folded Surfaces

2002 ◽  
pp. 465-480 ◽  
Author(s):  
B Ganster ◽  
R Klein ◽  
M Sattler ◽  
R Sarlette
Keyword(s):  
Folded Surfaces

Lower Cambrian echinoderm plates from Cowley, Shropshire, England

1982 ◽  
Vol 119 (6) ◽  
pp. 611-614 ◽  
Author(s):  
S. K. Donovan ◽  
C. R. C. Paul
Keyword(s):  
Lower Cambrian ◽  
Folded Surfaces

SummaryEchinoderm plates from the Protolenus Limestone are recognised as belonging to three groups; plates with folded surfaces, plates with bevelled edges and a third group. They are not comparable with other Lower Cambrian echinoderms and may be derived from a genus or genera of eocrinoid which is not known from complete specimens.

scholarly journals Folded surface elements coupled with planar scissor linkages: A novel hybrid type of deployable structures

2021 ◽  
Vol 8 (1) ◽  
pp. 137-146
Author(s):  
Evangelia Vlachaki ◽  
Katherine A. Liapi
Keyword(s):  
Geometric Modeling ◽  
Degrees Of Freedom ◽  
Rotational Symmetry ◽  
Building Design ◽  
Physical Models ◽  
Deployable Structures ◽  
Kinematic Behavior ◽  
Wide Range ◽  
Spatial Configurations ◽  
Folded Surfaces

Abstract Origami folding structures can find significant applications in the general area of building design, as they can be lightweight and deployable. An inherent property of folded surfaces, which is related to the degrees of freedom of each origami crease pattern, is form flexibility. Therefore, when building-scale applications are considered, in many instances, the folded surfaces, in order to become stiff and load-bearing, need to be constrained. A study of different types of deployable structures has led to the observation that in planar scissor linkages, hinges and pivots follow the same deployment path in space, as sets of vertices in certain origami structures. Due to the similarities in their kinematic behavior, selected origami patterns and scissor linkages can function as effective kinematic pairs, leading to structures able to transform in a controlled manner through a wide range of possible spatial configurations. A few examples of combining these two types of structures already exist [1–3]. In this paper a systematic approach for coupling origami crease patterns characterized by biaxial and rotational symmetry, with translational, polar and angulated scissor linkages, towards the development of novel forms of deployable structures, has been attempted. For the design and evaluation of the kinematic performance of the developed new structures, existing geometric modeling and calculation methods, parametric and simulation processes, as well as testing with physical models have been used. It is anticipated that research in this direction will lead to promising novel hybrid types of deployable structures.

Computing visibility from folded surfaces

1999 ◽  
Vol 23 (5) ◽  
pp. 693-702 ◽  
Author(s):  
A James Stewart
Keyword(s):  
Folded Surfaces
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