Produktentwicklung und Produktionsgestaltung - Spezialisierunghome.htw-berlin.de/~hentc/Handouts/PEPG_PDF/PEPG_Origami.pdf · Produktentwicklung und Produktionsgestaltung - Spezialisierung

Produktentwicklung und Produktionsgestaltung - Spezialisierung

Industrial_Origami, Seite

Prof. Dr.-Ing. C. Hentschel PEPG_Origami 0

Inhalt

• (Historical) roots• State of the art and basic operations• Make a fold• Make another fold and learn about

- mathematical origami,- computational origami and- technological origami- applications, applications and more applications…

• Benefits• Main Sources

Industrial Origami


What is Origami?

Paper foldingassociated mostly with Japan (origami means paper folding in Japanese) but concurrent invention in different parts of the world

USAChinaSpain

hobby, craft, art formmathematical aspects

mathematics is not just numbers, also patterns and shapesbasic mathematics to current research

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about

Mathematical Origami

Technological Origami

Computational Origami

Applications




Basic forms (to be verified)

1. Triangle2. Rectangle3. Dragon4. Mill5. Double square

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications




Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications

Bull moose, rattle snake and mule deer (by Robert J. Lang)

http://www.langorigami.com





Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications

Orchestra and organist (by Robert J. Lang)



Irish Elk with crease pattern (by Robert J. Lang)


Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications






Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications

Tarantula (by Robert J. Lang)


The six operations of Huzita‘s Axioms I/II

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





The six operations of Huzita‘s Axioms II/II and Hatori‘s 7 th Axiom

Source: Origami and geometric constructions; by Robert J. Lang,

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



Make a fold…

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





Make another one…

… and unfold!

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



4 simple Rules of Origami(by courtesy of Robert J. Lang)

1. 2-colorability of crease patterns

2. Look at the directions of the folds at any given vertex: the numer of mountain folds and the numberof valley folds always differ by 2 M – V ±2

3. If you number the angles around a vertex, alternate angles, all even numbered angles add up to astraight line, and all odd numbered angels add up to a straight line (always sum up to a straight line)

4. Look how the layers stack: a sheet can never penetrate a fold.

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about




Applications

TED ConferenceFebruary, 2008




Properties of Crease Patterns - Rule 1:2-colorability (by courtesy of Robert J. Lang)


2-colorability

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about




Applications


Properties of Crease Patterns – Rule 3:Angles around vertex (by courtesy of Robert J. Lang)

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about




Applications


Alternate angles around a vertex sum to a straight line

1

23

4

56

1 2

3 4

5 6




Properties of Crease Patterns – Rule 4: No self-intersection (by courtesy of Robert J. Lang)

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about




Applications


No self-intersection at overlaps.

CCFO

Fi,1

Fi,2

Fj

Ci

Fi,1 Fi ,2

Fj,1 Fj ,2

Ci

Cj

CUUCO

Fi,1

Fi,2

Fj Cj

Ci

CFUCO

Fi,1

Fi,2

Fi,1

Fi,2 Cj

Ci

CFFCO

Fi,1

Fi,2

Fi,1

Fi,2Cj

Ci


Abstraction of the process:Subject --- Tree figure --- Base --- Model

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications


How do you make a bunch of flaps?

Subject Tree ModelBase

easy Hard easy

(by courtesy of Robert J. Lang)TED Conference, February 2008




Benefits

(Historical)roots

State of theArt

Make a fold

Learn about




Applications

An exact folding sequence for dividing a square into thirds



Benefits

(Historical)roots

State of theArt

Make a fold

Learn about




Applications

Folding sequence for dividing the central 90º angle into sevenths





First 2 steps of Lang‘s scorpion, which entails a division of an angle into sevenths

Source: Origami and geometric constructions; by Robert J. Lang, Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



Screen shot of the Origami Simulation

after one fold has been performed by dragging the top left corner to the bottom edge of the paper


Benefits

(Historical)roots

State of theArt

Make a fold

Learn about




Applications




Computer-generated folding sequences from ReferenceFinder4 for locating the point (0,1/3) within a unit square.

http://www.langorigami.com Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications




Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications

The scorpion: folded base, finished model folded from this base and photograph of the origami figure (by R. J. Lang)





The scorpion crease pattern (by Robert J. Lang)

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about




Applications


A screen shot of the design screen for a scorpion usingTreeMaker 4.

The light blue lines define the tree; the desired lengths are entered as numerical values

http://www.langorigami.comBenefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





A screen shot of the computed crease pattern for a scorpion using TreeMaker 4.


Circles corresponding to leaf nodes (terminal flaps) are shown to aid intuition

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



Screen shot of TreeMaker 5, showing the full crease pattern, folded form, and the new Inspector for editing the design

http://www.langorigami.comBenefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





What can Origami be used for in Industry?

… collect solutions, in groups,please!

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications




Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications

BMW-STUDIE COUPÉ MILLE MIGLIA

"Industrial Origami" im Innenraum der StudieZwar wurde das Auto als Held für 1000 Meilen nur für die paar Stunden in Brescia gebaut, doch so ein ganz klein wenig Hintersinn hat die Studie doch – zumindest was die Produktionstechnik angeht. "Insbesondere im Innenraum haben wir viel ausprobiert", sagt Bangle und spricht von "Industrial Origami". Ähnlich wie bei der japanischen Papierbastelei wurde das gesamte Interieur der Studie, vom Instrumententräger bis zum Mitteltunnel, aus einem einzigen Edelstahlblech hergestellt, das vorher von einem Laserstrahl angeritzt und dann von Hand gefaltet wurde. So spart man laut Bangle teure Presswerke, die insbesondere eine Kleinserienproduktion oft unrentabel machen. Und man gewinnt eine ausgesprochen attraktive Oberflächengestaltung. http://www.spiegel.de/fotostrecke/fotostrecke-

13764-2.html#backToArticle=415904




BMW-STUDIE COUPÉ MILLE MIGLIA

http://www.spiegel.de/fotostrecke/fotostrecke-13764-2.html#backToArticle=415904


Applications

http://ttr.blog-city.com/origami__automobile_airbags.htm

… see also:http://www.langorigami.com/science/airbag/airbag.php4

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





Application: Airbag

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications


Origami: Crash-Strukturen im FahrzeugbauQuelle: Unveröffentlichte Ideensammlung Czinki-Hentschel, 2008

Kfz-Anwendung

Erprobungsträger: Crash-Box für Eisenbahn (Uni Wien)

unterschiedliche Realisierungsformen…




Origami: Crash-Strukturen im FahrzeugbauQuelle: Unveröffentlichte Ideensammlung Czinki-Hentschel, 2008

Deformationsprozess eines Audi A6 [34] Frontschutzkonzept [59]

[34] Wallrich, M., Skript zur Vorlesung Fahrzeugtech nik, FH-Koeln [59] www.azt.allianz.de Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



Applications

A model for an origami stent, in stainless steel. Its width expands from 12 mm to 23 mm. In practice, flexible materials are best in place of steel, the makers say. (Courtesy K. Kuribayashi, Z. You/University of Oxford)

Origami – in den Adern…Ein weiteres Einsatzgebiet für die Origami-Technik findet sich in der Medizintechnik. So genannte Stents, Gebilde, die in die Blutgefäße eingeführt werden um sie zu erweitern, werden gefaltet und dehnen sich erst im Gefäß zur gewünschten Größe aus.

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications


Applications

Origami – … und im Weltraum

Doch auch für die Bearbeitung größerer Dinge, die aus ziemlich festen Werkstoffen bestehen, taugt Origami. Ein Unternehmer aus Northeim in Niedersachsen nutzt die Methode, um Plexiglas in Form(en) zu bringen. Er berechnet mitOrigami-Mathematik die zu faltenden Stellen, erwärmt Plexiglasscheiben mit zwei hochenergetischen Heizquellen und klappt sie an den vorgesehen Stellen um wie ein Stück Papier. Erfinder Wolf-Dietrich Hannecke hat die Methode weltweit patentieren lassen. Und es rechnet sich. Denn normalerweise braucht man zur Herstellung von Plexiglasobjekten Spritzgussformen. Eine sehr kostspielige Angelegenheit. Durch die auf Origami basierende Methode werden Formen überflüssig. Ein echt geldwerter Vorteil. http://www.space.com/php/multimedia/imagedisplay/img_display.php?pic=origami_eyeglass_020220_02.gif&cap=The%20proposed%20100meter%20Eyeglass%20telescope%20could%20point%20into%20space%20or,%20as%20this%20example%20shows,%20back%20at%20Earth.


Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications


Applications

http://www.origami-resource-center.com/origami-science.html




Applications


Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



Applications

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





Origami-House

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



Applications: Furniture

http://www.origami-resource-center.com/origami-furniture.html

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





Origami-Table

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



The Industrial Origami "smiles" are stamped into an 18 gauge steel plate by turret-punching

http://www.industrialorigami.com

The Industrial Origami "smiles" are cut into ¼" steel plate with a high speed laser. Industrial Origami "smiles", are subsequently pulled into engagement, creating the patented load-bearing edge-to-face overlap that alternates from smile to smile.

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





Origami in der Blechumformung?Quelle: Unveröffentlichte Ideensammlung Czinki-Hentschel, 2008

Quelle:http://images.google.de/imgres?imgurl=http://meisterschule.region-kaiserslautern.de/fst/homekb/grafiken/diagramm.jpg&imgrefurl=http://meisterschule.region-kaiserslautern.de/fst/homekb/sicken.htm&h=400&w=410&sz=12&hl=de&start=6&um=1&usg=__c7KNqdcJi1wXpOUicF9bTTGNyCM=&tbnid=D_YjE8Iwq8tEHM:&tbnh=122&tbnw=125&prev=/images%3Fq%3DSicken%26um%3D1%26hl%3Dde%26rlz%3D1G1GGLQ_DEDE294%26sa%3DG

Blechumformtechnik Origamitechnik

Sicken =?

Falzen =?

Bördeln =?

usw.

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



Origami for Fast Food

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications


Multimedia-Origami


Origami in der Mode

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





Origami in der ModeQuelle: Unveröffentlichte Ideensammlung Czinki–Hentschel, 2008

Buff…

Tragetuch…

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



... and many more..........

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





Benefits

� Reducing the number and cost of components and joining operations

� Simplifying and reducing the cost of manufacturing including stampingand assembly

� Simplifying and reducing the cost of shipping and storage

� Increasing precision

� Reducing the time and cost of prototyping

� Reducing weight under certain circumstances

� Teaching mathematical thinking through origami

� Connections in art, music and science!!!

�… Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications



In case you are interested to do more reseach on Origami, ….

…please, contact Prof. Hentschel!

Benefits

(Historical)roots

State of theArt

Make a fold

Learn about



Applications





Main Sources (accessed in February 2010)

http://www.ted.com/index.php/talks/robert_lang_folds_way_new_origami.html

http://www.industrialorigami.com/home.cfm

http://newmedia.purchase.edu/~Jeanine/origami

… more to come…

AND:

I thank my elder son Moritz Wilksch for the inspiration and the support in folding about 3647 models in 2008 when he was 10 - while I did about 5…..

Claudia Hentschel

http://www.langorigami.com/


Documents

Produktentwicklung und Produktionsgestaltung - Spezialisierunghome.htw-berlin.de/~hentc/Handouts/PEPG_PDF/PEPG_Origami.pdf · Produktentwicklung und Produktionsgestaltung - Spezialisierung