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3Dプリンタで作る階差機関 / Build Difference Engine by 3D P...
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Transcript
3DϓϦϯλͰ࡞Δ1 ࣍ݩηϧɾΦʔτϚ τϯɺ֊ࠩػؔɺΞ φϩάίϯϐϡʔλ @mackee_w a.k.a macopy 2017-08-05 builderscon 2017
͢Έ·ͤΜ
3DϓϦϯλͰ࡞Δ1 ࣍ݩηϧɾΦʔτϚ τϯɺ֊ࠩػؔɺΞ φϩάίϯϐϡʔλ @mackee_w a.k.a macopy 2017-08-04 builderscon 2017
3DϓϦϯλͰ࡞Δ1 ࣍ݩηϧɾΦʔτϚ τϯɺ֊ࠩػؔɺΞ φϩάίϯϐϡʔλ @mackee_w a.k.a macopy 2017-08-04 builderscon 2017
macopy a.k.a @mackee_w
macopy a.k.a @mackee_w ࣄ: ໘ന๏ਓΧϠοΫ ιʔγϟϧήʔϜࣄۀ෦ ɹɹ αʔόαΠυϓϩάϥϚ ɹɹ Perl5,
Go, etc… ࠷ۙ: εϓϥτΡʔϯ2, 3DϓϦϯλ OSS: kuiperbelt(WebSocketΛ͍͍ײ͡ʹ͞ ͍ͯ͘ΕΔ܅)
͜ͷτʔΫͷओ ↓ ֊ࠩػؔ ͱ 3DϓϦϯλ
Agenda 1. ֊ࠩػؔͱ 1. ֶతͳݪཧ 2. ػցతͳݪཧ 3. σϞ 2.
3DϓϦϯλʹΑΔ ֊ࠩػؔͷ੍࡞ 1. ઃܭ 2. ҹ 3. ·ͱΊ
0. ಈػ
ཪςʔϚᶃ ࢲͱ3DϓϦϯλ2017
3DϓϦϯλͱͷग़ձ͍ • YAPC::Asia 2015ʹͯυϩʔϯͷΛ͢Δ • ύʔπ࡞Δͷʹ͑Δ͔ͬͳͱࢥͬͯ3Dϓ ϦϯλͷΩοτΛങ͏ • 1์ஔ ->
YAP(achimon)C 2016Ͱ3DϓϦ ϯλΛ͏·͘ಈ͔͢ͷʹۤ࿑ͨ͠Λ͢Δ
ձʹ3DϓϦϯλΛ࣋ͪࠐΜͰ࣮ԋ
3DϓϦϯλൃలฤ • Y8 2017࠙ձʹͯ3DϓϦϯλ͋Ε͔Βͱ͍͏ ൃදΛߦ͏ • ͍Ζ͍Ζݟ͕ཷ·͖ͬͯͨͷͰ҆ఆ͔ͨ͠Β σϡΞϧϊζϧʹઓͯ͠ഁ໓ͨ͠Αͱ͍͏ • ࠷ޙʹ͜ͷτʔΫΛԠื͢ΔύϑΥʔϚϯεΛ
ߦ͏
σϡΞϧ͏·͍͔ͣ͘ቕΊ߹Θͤ
͜͜ͰࢥͬͨΜͰ͢
ࠓ·Ͱ3DϓϦϯ λ࡞Δ͔ΓͰ ͬͯͳ͍ͷͰ ʁʁʁʁʁ
ଞॴͷ͝ՈఉͰͬͯসإ͕ੜ·Ε͍ͯΔ https://srdk.rakuten.jp/entry/2017/06/29/110000
ҰํϊζϧΛ٧·ΒͤͨΓͯ͠ ҰਓͰҰتҰ༕͢Δ͚ͩ
͜ͷ··Ͱ͍͔Μʂ Կ͔Λ࡞Βͳ͚Ε
ձࣾSlackͷ#club-kosaku(࡞νϟϯωϧ͚ͩΕͲ ΄΅͕ಠΓݴΛݴ͏νϟϯωϧ)ͰͷҰນ
̳͂́ʂʂʂʂʂ
1. ֊ࠩػؔͱ
֊ࠩػؔʢ͔͍͖͔͞Μɺ difference engineʣ·ͨࠩ ػؔʢ͞ͿΜ͖͔Μʣɺྺ্࢙ ͷػցࣜ༻్ݻఆܭࢉػͰɺଟ߲ ࣜͷදΛ࡞͢ΔΑ͏ઃܭ͞Ε ͨɻରࡾ֯ؔଟ߲ࣜͰۙ ࣅͰ͖ΔͨΊɺͦͷΑ͏ͳϚγϯ ͔ͳΓͷ൚༻ੑ͕͋ͬͨɻ
ػցࣜݻఆ༻్ܭࢉػ
ͬ͘͟Γݴ͏ͱ ࣃंͷ͓Խ͚
ϩϯυϯͷതؗʹ͋Δ֊ࠩػؔ https://commons.wikimedia.org/wiki/File:Babbage_Difference_Engine.jpg
ϩϯυϯͷതؗʹ͋Δ֊ࠩػؔ https://commons.wikimedia.org/wiki/File:LondonScienceMuseumsReplicaDifferenceEngine.jpg
֊ࠩػؔΛ3ߦͰ •ࣃंΛ͍ͬͺ͍ͬͯ •͠ࢉ͚ͩΛͬͯ •දΛ࡞Δ
1.1 ֶతͳݪཧ
y=x2Ͱ x=1~4ͷͱ͖ͷΛ ܭࢉ͠·͠ΐ͏
දͰ͢ ZY Y Z
yn - yn-1 Λܭࢉ͠·͢ ZY Y Z yn - yn-1
yn - yn-1 Λܭࢉ͠·͢ ZY Y Z yn - yn-1
͜ΕΛΔyn (ୈ1֊ࠩྻ) ͱݴ͍·͢
Δyn - Δyn-1 Λܭࢉ͠·͢ ZY Y Z Δyn Δyn -
Δyn-1
Δyn - Δyn-1 Λܭࢉ͠·͢ ZY Y Z Δyn Δyn -
Δyn-1 ͜ΕΛΔ2yn (ୈ2֊ࠩྻ) ͱݴ͍·ɾɾɾ
ͪΐͬͱ ͯʂʂʂʂʂ
શ෦2ͳ͍͔ʂʂʂ ZY Y Z Δyn Δyn - Δyn-1
ٯʹߟ͑Δͱͭ·Γ • Δ2yn ʹ͋ͨΔʮԿ͔ʯҰఆͷΛอ͍࣋ͯ͠Δ • ͦͷʮԿ͔ʯΔyn ʹ͋ͨΔԿ͔ʹεςοϓ͝ͱʹՃࢉ ͢ΔɻՃࢉ͞ΕͨʮԿ͔ʯεςοϓ͝ͱʹΛϦηο τ͠ͳ͍ •
yn ʹ͋ͨΔʮԿ͔ʯʹΔyn ʹ͋ͨΔʮԿ͔ʯ͕࣋ͭΛ εςοϓ͝ͱʹՃࢉ͢Δɻyn ʹ͋ͨΔԿ͔ಉ༷ʹϦ ηοτ͞Εͳ͍
ٯʹߟ͑Δͱͭ·Γ • Δ2yn ʹ͋ͨΔʮԿ͔ʯҰఆͷΛอ͍࣋ͯ͠Δ • ͦͷʮԿ͔ʯΔyn ʹ͋ͨΔԿ͔ʹεςοϓ͝ͱʹՃࢉ ͢ΔɻՃࢉ͞ΕͨʮԿ͔ʯεςοϓ͝ͱʹΛϦηο τ͠ͳ͍ •
yn ʹ͋ͨΔʮԿ͔ʯʹΔyn ʹ͋ͨΔʮԿ͔ʯ͕࣋ͭΛ εςοϓ͝ͱʹՃࢉ͢Δɻyn ʹ͋ͨΔԿ͔ಉ༷ʹϦ ηοτ͞Εͳ͍ ͜ΕΛ܁Γฦ͢ͱ ҙͷଟ߲ࣜͷྻ͕ಘΒΕΔ
ͨͩ͠ • n࣍ͷଟ߲ࣜୈn֊͔ࠩΒͷܭࢉ͕ඞཁ • ex. ࣍3ͷଟ߲ࣜʹୈ3֊͕ࠩඞཁ • ଟ߲ࣜҎ֎ͷؔܭࢉͰ͖ͳ͍ • ͨͩ͠ແݶඍՄೳؔ(ࡾ֯ؔ,
ରؔͳͲ) ςΠϥʔల։Λ༻͍ͯଟ߲ࣜʹ͢Δ͜ͱͰҙ ͷਫ਼ͷྻΛٻΊΔ͜ͱ͕ग़དྷΔ
1.2 ػցతͳݪཧ
ઌఔͷʮԿ͔ʯͱࣃंͰ͢
໊લͰ͢
ॳظঢ়ଶͰ͢
ΧϥϜ3͕ճͬͯΧϥϜ2ʹՃࢉ͞Ε·͢
ΧϥϜ2ͱΧϥϜ3ͷؒͷࣃं্͕͕Γ·͢ ΧϥϜ2ͱΧϥϜ1ͷؒͷࣃं͕Լ͕Γ·͢
ΧϥϜ2ͷ͕ΧϥϜ1ʹՃࢉ͞Ε·͢
ͱಉ࣌ʹΧϥϜ3͕ͱͷʹΓ·͢
ΧϥϜ2ͷΛͱʹ͠·͢
͜ΕͰx=2ͷέʔε͕ܭࢉͰ͖·ͨ͠
࠷ॳʹͬͯ܁Γฦ͠·͢
࠷ॳʹͬͯ܁Γฦ͠·͢
࠷ॳʹͬͯ܁Γฦ͠·͢
ԿނΛ͍֮͑ͯΒΕΔͷ͔ʁ
ࣃंͷதʹ͜͏͍͏͕ͭೖ͍ͬͯͯ
·ͣӈͷ͕ͭճͬͯ0Λਖ਼໘ʹ͠·͢
ΧϥϜଆͷճͭ͢Λ ͻ͔͔ͬΒͳ͍Α͏ʹ্͛ͯͱʹ͠·͢
ՃࢉϗΠʔϧͷߴ͞Λ্͛ͯ ࣍ͷΧϥϜ͕ճΒͳ͍Α͏ʹ͠·͢
ՃࢉଆϗΠʔϧΛճͯ͠ ΧϥϜଆΛݩͷҐஔʹ͠·͢
ݩͷঢ়ଶʹ͠·͢
ྫՃࢉ͢Δ͕ఆͰ͕͢ લͷΧϥϜ͔ΒՃࢉ͞Εͯಈ ࡞͠·͢
Q: ͜ΕͩͱҰܻ͔͠ग़དྷͳ͘ ͳ͍ʁʁʁ
A: ͦɾɾɾͦΕɾɾɾ
͜ͷग़ͬுΓ
্ܻΓ • ্ܻΓ(9 -> 0)ʹ͢Δͱ͖ʹ͜ͷग़ͬுΓΛ ͬͯϨόʔΛԡ͢ػߏ͕͋Δ • ϨόʔͶͰԡ͞Εͨঢ়ଶͰอ࣋͞Εͯ·ͨ ผͷϨόʔͰԡ͞Εͨ࣌ʹ্ͷܻΛ1͢͢ΊΔ •
ࣃंͱ͔ͰಉظతʹΒͳ͍ͷՃࢉதͱ͔ ͩͱڰ͏ͷͰΩϟϦʔϑΣʔζ͕͋Δ
Q: ը૾͕ͳ͍͚ΕͲʁ
A: ͍ɾɾɾະ࣮Ͱ ͢ɻɻɻ
͋ͱԡ্͛ͱ͔ϨόʔΛճ͢ ͱ͜Ζͱ͔ະ࣮Ͱ͢
DEMO
͢Έ·ͤΜ
Chapter 2ʹଓ͘
2. 3DϓϦϯλʹΑΔ ֊ࠩػؔͷ࡞
ઃܭํ1 • ͍·ΘͤΔͷ͏ • thingiverseʹϞσϧ͕͋ΕͦΕΛ͏ • શ෦3DϓϦϯλͰΒͳ͍ • ࢢൢͷϝλϧύʔπਫ਼͕ඇৗʹྑ͍
ઃܭํ2 • νϟʔϧζɾόϕοδࢯͷઃܭΛશ౿ऻ͠ ͳ͍ • Έ(ࣃंʹΑΔՃࢉ)͕͋ͬͯΕOK
ઌߦࣄྫ(࢈ۀֵ໋ظ) • νϟʔϧζɾόϕοδࢯʹΑΔ࡞ • 1߸ػ(1830ʙ), 2߸ػ(ઃܭͷΈ, 1847 ʙ) • γϡπࢯ,
ϰΣʔϕϦࢯʹΑΔ࡞(1853 ͳͲ)
ઌߦࣄྫ(ݱ) • ϩϯυϯɾαΠΤϯεϛϡʔδΞϜʹΑΔ࡞ • ઃܭνϟʔϧζɾόϕοδࢯʹΑΔͷΛ౿ऻ • 1989͔Β࡞͞Ε1991ʹ • 2000ʹόϕοδࢯઃܭͷϓϦϯλʔ •
όϕοδࢯͤ͞Δ͜ͱ͕Ͱ͖ͳ͔ͬͨͨΊɺ ϨϓϦΧͰͳ͍
ੑೳൺֱ ୈ֊ࠩػؔ ୈ֊ࠩػؔ ࠓճ੍࡞ͷ֊ ࠩػؔ ֊ ܻ
Կނόϕοδࢯୈ2֊ࠩػ ؔΛͤ͞Δ͜ͱ͕Ͱ͖ͳ ͔ͬͨͷ͔ʁ
͍Ζ͍Ζઆ • ਫ਼͕Γͳ͍ ࡞ػցݱͱܻҧ͍ʹ গͳ͍͠ػցࣗମͷਫ਼ग़͍ͯͳ͍ • ৬ਓͱͷ֬ࣥ • ࢿۚෆ
͔͠͠ࠓͷੈͷதͳΒ ݸਓͰ࡞Ͱ͖Δ͔ʁ
ͦ͏ɺ3DϓϦϯλ͕͋ΕͶ https://commons.wikimedia.org/wiki/File:3D_printer2.jpg
͔ͭͯਤ໘௨ΓͷύʔπΛ࡞Δ ͷ͔ͬͨ͠ • جຊతʹۚଐՃ • ટ൫, Ϙʔϧ൫, ༹, etc… ͲΕٕज़ͱࣝͱઐ
༻ͷಓ۩͕ඞཁ • ࣗ༝ܗঢ়ͷϓϥՃ͔͕ͬͨ͢͠ɺͰͷେ ྔੜ࢈͖ɻݸਓͰϨδϯΩϟετͱݴ͏ͷ͕ ग़͖ͯͯɺ͞ΒʹόΩϡʔϜܕ͕ग़͖ͯͯɺ͞Β ʹ3DϓϦϯλ͕ग़͖ͯͨ
3DϓϦϯλͷ͍͍ͱ͜Ζ ↓ ਤ໘௨Γͷͷ͕ ͬͯΕग़ͯ͘Δ
ຊʹਤ໘௨Γͷ͕ग़ͯ͘Δ※ • ※ͨͩ͠3DϓϦϯλͷੑೳ͕ྑ͚Ε • ੑೳ -> Ϟʔλʔਫ਼, ϊζϧܘͳͲ, ߏͷ ਫ਼ʹΑΔ
• ͔͠͠զ͕Ոͷ3DϓϦϯλ֊ࠩػؔΛ࡞Δ ʹ͍͍͕ͩͨͳ͍Ά͍
thingiverseͰ Difference EngineΛݕࡧ
None
͜ΕΛͬͯΈͨ
ͬͯؾ͍ͮͨ
͋ͬ
ଞʹ࡞͍ͬͯΔਓݟͳ͍͠ CAD͠ΐɻɻɻ
લOpenSCAD͍ͬͯ·͕ͨ͠
Fusion360ͬͯ·͢
Fusion360 • AutodeskͷCAD • AutoCADͱҧͬͯΫϥυඞਢ • झຯͱ͔ελʔτΞοϓͩͱແྉͰ͑Δ • ී௨ͷ3D CAD(ී௨ͷͬͨ͜ͱແ͍
ͱ͍͏Θ͚Ͱશ෦εΫϥονͰઃܭ͠·ͨ͠
3DϓϦϯλͱ ϝλϧύʔπͷ͍͚ • 3DϓϦϯλͷۤखͳ͜ͱ • Z࣠ํʹ͍ύʔπϒϨΔ • ಉ͡छྨͷύʔπΛ͍ͬͺ͍Δͷ͕࣌ؒ ͔͔Δ •
ຎࡲ͕͔͔Δύʔπۤख
࢈ۀֵ໋ͷͱ͖ʹͳͯ͘ࠓ͋Δͷ ϕΞϦϯά
࢈ۀֵ໋ͷ࣌ʹ͚͋ͬͨΕͲਫ਼͕ྑ͘ͳͬͨͷ γϟϑτ
ͪͳΈʹ࢈ۀֵ໋ͷͱ͖ϦϯΫػߏ͔ͬΓ
ϦϯΫΑ͘Θ͔Μͳ͔ͬͨ ͷͰಈΧϜػߏͰΓΔ
ಈΧϜΛ࡞Δʹ • ΧϜʹैͯ͠Β͔ʹ্Լ͢ΔͨΊʹϑΥ ϩϫʹϕΞϦϯά • ͳΊΒ͔ʹಈͤ͞ΔͨΊʹγϟϑτͱϦχ Ξϒογϡ • Ҏ্ϝλϧύʔπ͕ඞਢ
େྔʹϕΞϦϯάΛߪೖ
͍͟ҹ
ҹ·Ͱͷաఔ 1. CADͰܗঢ়σʔλΛ࡞Δ -> STL • Fusion360Ͱ࡞ 2. STLΛ3DϓϦϯλ͕ಡΊΔ࠲ඪσʔλʹม͢ Δ
-> gcode • Simplify3DͰม
STLΛಡΜͰ
gcodeσʔλʹม
༥ղੵܕ3DϓϦϯλͷͭΒ͍ ͱ͜Ζ • ු͍͍ͯΔͱ͜Ζۤख • ͍ΘΏΔΦʔόʔϋϯάͱݺΕΔͱ͜Ζ • Լ͔ΒੵΜͰ͍͘લఏͳͷͰԼʹͳ͍ͳ͍ ු͍͍ͯΔͱ͜Ζۭதʹ༹͚ͨϓϥ͕ग़Δ •
ղܾʹαϙʔτࡐͳͲ͕ඞཁ
αϙʔτࡐग़ྗ
αϙʔτࡐऔΓআ͘ͷͭΒ͍
ྫ͑গʑͷΦʔόʔϋϯά ΛͭΉΔ
ྫ͑ͻͬ͘Γฦ͢
͜ΕͰ݁ߏ͖Ε͍ʹग़Δ
ྫׂ͑͢Δ
ΊࠐΈ෦ • ύʔπΛׂ͢ΔͱԿΒ͔ͷํ๏ͰΊࠐΈ Λ͠ͳ͍ͱ͍͚ͳ͍ • ؙͱͳΜ͔΄΅΄΅ೖΒͳ͍͔εΧεΧ • ͱ͍͏Θ͚Ͱผͷํ๏Λ͏
ଟ֯ܗʹ͢Δ http://makezine.jp/blog/2015/09/tips-3d-printing-press-fit-parts.html
࣮ફ
͔͠͠ٯύλʔϯ(ଟ֯ܗʹؙಥͬࠐΉ)ͷ 3DϓϦϯτύʔπ VS 3DϓϦϯτύʔπͩͱ ͏·͍͔͘ͳ͔ͬͨ
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