produktentwicklung und produktionsgestaltung -...
TRANSCRIPT
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
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 1
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
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 2
Basic forms (to be verified)
1. Triangle2. Rectangle3. Dragon4. Mill5. Double square
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 3
Mathematical Origami
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Bull moose, rattle snake and mule deer (by Robert J. Lang)
http://www.langorigami.com
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 4
Mathematical Origami
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Orchestra and organist (by Robert J. Lang)
http://www.langorigami.com
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 5
Irish Elk with crease pattern (by Robert J. Lang)
http://www.langorigami.com
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 6
Mathematical Origami
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Tarantula (by Robert J. Lang)
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 7
The six operations of Huzita‘s Axioms I/II
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 8
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 9
Make a fold…
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 10
Make another one…
… and unfold!
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 11
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
Mathematical Origami
Technological Origami
Computational Origami
Applications
TED ConferenceFebruary, 2008
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 12
Properties of Crease Patterns - Rule 1:2-colorability (by courtesy of Robert J. Lang)
TED ConferenceFebruary, 2008
2-colorability
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Mathematical Origami
Technological Origami
Computational Origami
Applications
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 13
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
Mathematical Origami
Technological Origami
Computational Origami
Applications
TED ConferenceFebruary, 2008
Alternate angles around a vertex sum to a straight line
1
23
4
56
1 2
3 4
5 6
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 14
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
Mathematical Origami
Technological Origami
Computational Origami
Applications
TED ConferenceFebruary, 2008
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
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 15
Abstraction of the process:Subject --- Tree figure --- Base --- Model
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
How do you make a bunch of flaps?
Subject Tree ModelBase
easy Hard easy
(by courtesy of Robert J. Lang)TED Conference, February 2008
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 16
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Mathematical Origami
Technological Origami
Computational Origami
Applications
An exact folding sequence for dividing a square into thirds
Source: Origami and geometric constructions; by Robert J. Lang,
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 17
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Mathematical Origami
Technological Origami
Computational Origami
Applications
Folding sequence for dividing the central 90º angle into sevenths
Source: Origami and geometric constructions; by Robert J. Lang,
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 18
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 19
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
http://www.langorigami.com
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Mathematical Origami
Technological Origami
Computational Origami
Applications
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 20
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 21
Mathematical Origami
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
The scorpion: folded base, finished model folded from this base and photograph of the origami figure (by R. J. Lang)
http://www.langorigami.com
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 22
The scorpion crease pattern (by Robert J. Lang)
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Mathematical Origami
Technological Origami
Computational Origami
Applications
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 23
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 24
A screen shot of the computed crease pattern for a scorpion using TreeMaker 4.
http://www.langorigami.com
Circles corresponding to leaf nodes (terminal flaps) are shown to aid intuition
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 25
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 26
What can Origami be used for in Industry?
… collect solutions, in groups,please!
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 27
Mathematical Origami
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
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
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 28
BMW-STUDIE COUPÉ MILLE MIGLIA
http://www.spiegel.de/fotostrecke/fotostrecke-13764-2.html#backToArticle=415904
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 29
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 30
Application: Airbag
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 31
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Origami: Crash-Strukturen im FahrzeugbauQuelle: Unveröffentlichte Ideensammlung Czinki-Hentschel, 2008
Kfz-Anwendung
Erprobungsträger: Crash-Box für Eisenbahn (Uni Wien)
unterschiedliche Realisierungsformen…
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 32
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 33
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 34
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
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.
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 35
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Applications
http://www.origami-resource-center.com/origami-science.html
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 36
Applications
http://www.origami-resource-center.com/origami-science.html
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 37
Applications
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 38
Origami-House
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 39
Applications: Furniture
http://www.origami-resource-center.com/origami-furniture.html
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 40
Origami-Table
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 41
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 42
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 43
Origami for Fast Food
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 44
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Multimedia-Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 45
Origami in der Mode
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 46
Origami in der ModeQuelle: Unveröffentlichte Ideensammlung Czinki–Hentschel, 2008
Buff…
Tragetuch…
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 47
... and many more..........
Benefits
(Historical)roots
State of theArt
Make a fold
Learn about
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 48
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 49
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
Technological Origami
Computational Origami
Applications
Mathematical Origami
Produktentwicklung und Produktionsgestaltung - Spezialisierung
Industrial_Origami, Seite
Prof. Dr.-Ing. C. Hentschel PEPG_Origami 50
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/
http://www.origami-resource-center.com/origami-science.html