Skew quadrilateral membrane folding for lampshade design

The 13th International Conference on Engineering and Computer Graphics BALTGRAF-13 ◽

10.3846/baltgraf.2015.016 ◽

2015 ◽

Author(s):

Hirotaka Suzuki

Keyword(s):

Plane Surface ◽

Curved Surface ◽

Building Roof ◽

Beneficial Use ◽

Luminance Distribution ◽

Similar Shape ◽

Pattern Structure ◽

Parallel Lines ◽

Paper Folding

Historically, Japanese traditional lampstand 'Andon', was manufactured from paper. And paper folding method was adopted into some Andon or western lampshade design. For example, Yoshimura/Diamond pattern, known as a structure of crashed cylinder, or a structure of building roof, that has been of beneficial use in commercial lampshade products. Yoshimura pattern structure includes a set of skew quadrilaterals which are not on a plane surface and each quadrilateral is constructed with 2 planar triangles. Development of Yoshimura pattern is constructed by one set of horizontal parallel lines at even intervals for valley fold and two sets of oblique parallel lines at even intervals for mountain fold. The author found that similar shape can be constructed from development which includes only mountain fold lines of Yoshimura pattern and this method has various applications. With proposed paper folding method, each skew quadrilateral is constructed by single curved surface. In this paper, the author first defined the principle of the proposed paper folding method, second, explained the. features of the shape made by the proposed method and the luminance distribution on the shape, third, indicated examples of applications of the proposed method. Finally, examples of application of the shape made by SQMF in the field of education are explained.

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Automatic paper pattern making using mechanical development method of a curved surface on a plane surface.

Sen i Gakkaishi ◽

10.2115/fiber.45.10_427 ◽

1989 ◽

Vol 45 (10) ◽

pp. 427-434 ◽

Cited By ~ 4

Author(s):

Haruki Imaoka ◽

Atsuo Shibuya ◽

Noboru Aisaka

Keyword(s):

Plane Surface ◽

Curved Surface ◽

Development Method

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The laminar wall-jet over a curved surface

Journal of Fluid Mechanics ◽

10.1017/s0022112068000273 ◽

1968 ◽

Vol 31 (3) ◽

pp. 459-465 ◽

Cited By ~ 13

Author(s):

I. J. Wygnanski ◽

F. H. Champagne

Keyword(s):

Laminar Flow ◽

Velocity Profile ◽

Skin Friction ◽

Surface Pressure ◽

Similarity Solution ◽

Plane Surface ◽

Curved Surface ◽

Radius Of Curvature ◽

Wall Jet ◽

The One

The laminar flow of a wall jet over a curved surface is considered. A unique similarity solution is obtained for both concave and convex surfaces when the local radius of curvature is proportional to x3/4. This solution satisfies a similar invariant condition to the one derived by Glauert for the wall jet over a plane surface. The variation of the shape of the velocity profile, the skin friction, and the surface pressure as a function of curvature is given.

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Measurement and Characterization of Stiction Force in Microstructures With Tapered Features

Volume 7: 5th International Conference on Micro- and Nanosystems; 8th International Conference on Design and Design Education; 21st Reliability, Stress Analysis, and Failure Prevention Conference ◽

10.1115/detc2011-48848 ◽

2011 ◽

Author(s):

Christopher Pelzmann ◽

Laxman Saggere

Keyword(s):

Plane Surface ◽

Van Der Waals ◽

Theoretical Models ◽

Adhesive Force ◽

Van Der Waals Force ◽

Curved Surface ◽

Force Model ◽

Curved Surfaces ◽

Surface Geometry ◽

Adhesive Forces

Modeling and measurement of stiction or adhesion due to van der Waals force between microstructures and micro-gripper tools are important for contact-based manipulation and assembly of microstructures. Microfabricated structures commonly feature rough tapered curved surfaces due to undercutting and surface alterations inherent in the microfabrication processes. While several theoretical models exist for calculating adhesive forces between microstructures featuring spherical, cylindrical and flat surfaces, a model for estimating adhesive forces between microstructures featuring tapered curved surfaces is lacking in the literature. This paper presents experimentally measured values of adhesion or pull-off force between a rough tapered curved microstructure from a rough plane surface using a custom micro-cantilever beam as a force sensing mechanism. The paper also introduces an approach to estimate adhesive force between a tapered curved surface and a flat surface by considering the tapered curved surface as a frustum of a cone bound between two cylinders and using the van der Waals force model for cylinders. It is shown that the experimentally measured adhesive force values lie within the upper and lower values of the theoretically estimated van der Waals force values for the two cylinders that define the tapered curved surface geometry.

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7. Description of New Astronomical Tables for the Computation of Anomalies

Proceedings of the Royal Society of Edinburgh ◽

10.1017/s0370164600044618 ◽

1880 ◽

Vol 10 ◽

pp. 726-727

Author(s):

Edward Sang

Keyword(s):

Plane Surface ◽

The Sun ◽

Parallel Lines ◽

The Mean ◽

The Times

AbstractThe planets move round the sun in ellipses, in such a manner that the radii vectores describe areas proportional to the times. Now, by means of parallel lines, we can always project an ellipse upon a plane surface so as to make the projection circular, and thus we have to consider the motion of a point in the circumference of a circle, describing round an excentric point areas proportional to the times. The angle AOQ is called, very inappropriately, the excentric anomaly; I prefer to call it the angle of position. If we suppose a point M to move uniformly along the circumference, with the periodic time of the planet, and to have reached M when the actual projection of the planet is at Q, it is clear that the sector AOM must be equivalent to the area ASQ. The angle AOM is the mean anomaly.

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A Lampshade Design Method by Paper Folding and Luminance Distribution on the Lampshade Designed by the Method. -Skew Quadrilateral Membrane Folding Method-

Memoirs of the Graduate Schools of Engineering and System Informatics Kobe University ◽

10.5047/gseku.e.2015.003 ◽

2016 ◽

Author(s):

Hirotaka SUZUKI

Keyword(s):

Design Method ◽

Luminance Distribution ◽

Paper Folding

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Phonological and Spatial Processing Abilities in Language- and Reading-Impaired Children

Journal of Speech and Hearing Disorders ◽

10.1044/jshd.5303.316 ◽

1988 ◽

Vol 53 (3) ◽

pp. 316-327 ◽

Cited By ~ 109

Author(s):

Alan G. Kamhi ◽

Hugh W. Catts ◽

Daria Mauer ◽

Kenn Apel ◽

Betholyn F. Gentry

Keyword(s):

Phonological Processing ◽

Spatial Information ◽

Normal Children ◽

Language Impaired ◽

Word Repetition ◽

Paper Folding ◽

Syllable Segmentation ◽

Processing Abilities ◽

Impaired Children ◽

Better Than

In the present study, we further examined (see Kamhi & Catts, 1986) the phonological processing abilities of language-impaired (LI) and reading-impaired (RI) children. We also evaluated these children's ability to process spatial information. Subjects were 10 LI, 10 RI, and 10 normal children between the ages of 6:8 and 8:10 years. Each subject was administered eight tasks: four word repetition tasks (monosyllabic, monosyllabic presented in noise, three-item, and multisyllabic), rapid naming, syllable segmentation, paper folding, and form completion. The normal children performed significantly better than both the LI and RI children on all but two tasks: syllable segmentation and repeating words presented in noise. The LI and RI children performed comparably on every task with the exception of the multisyllabic word repetition task. These findings were consistent with those from our previous study (Kamhi & Catts, 1986). The similarities and differences between LI and RI children are discussed.

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