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・樹脂3Dプリンタによる加工物の2D面寸法補正に関する考察(PDF/431KB)

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ᖹᡂ  ᖺᗘࠊᖹᡂ  ᖺᗘ ⏘⥲◊ᆅᇦ㐃ᦠᡓ␎ண⟬ࣉࣟࢪ࢙ࢡࢺ ⣲ᙧᮦᢏ⾡㒊  ࢹࢨ࢖ࣥ㒊  㟁Ꮚ᝟ሗᢏ⾡㒊

ᶞ⬡ ' ࣉࣜࣥࢱ࡟ࡼࡿຍᕤ≀ࡢ ' 㠃ᑍἲ⿵ṇ࡟㛵ࡍࡿ⪃ᐹ

* ࿴ྜ ೺**ࠊ㛗ᔱ ᏹஅ***ࠊ⳥ụ ㈗****ࠊ㯮㡲 ಙ࿃** ⏬ീᘧᗙᶆ ᐃᶵࢆ฼⏝ࡋ࡚ᶞ⬡ 3D ࣉࣜࣥࢱ࡛㐀ᙧࡋࡓ࣮࣍ࣝࣉ࣮ࣞࢺࡢᗙᶆ  ᐃࢆ⾜࠸ࠊᚓࡽࢀࡓ⤖ᯝࢆ⏝࠸࡚ 2D ᪉ྥࡢᑍἲ⿵ṇࢆ⾜ࡗࡓࠋᑍἲ⿵ṇࡣࠊタ ィ್࡜㐀ᙧᚋࡢ ᐃ್ࡢẚ⋡࡟ࡼࡿኚᙧ⋡࠿ࡽ㏫⟬ࡋ࡚⿵ṇ㔞ࢆồࡵࡿ᪉ᘧ࡜ࡋ ࡓࠋᚓࡽࢀࡓኚᙧ⋡ࡢᖹᆒ್ࡣࠊ⇕⁐ゎ✚ᒙἲ࡛ 99.84%ࠊග㐀ᙧἲ࡛ 99.60%࡛࠶ ࡗࡓࠋࡇࡢኚᙧ⋡ࢆ฼⏝ࡋࡓ⿵ṇ್࡟ࡼࡾ෌㐀ᙧࡋࡓ⤖ᯝࠊ఩⨨ㄗᕪࡀ⇕⁐ゎ✚ᒙ ἲ࡛ᖹᆒ್ 8.52ȝmࠊග㐀ᙧἲ࡛ᖹᆒ್ 27.89ȝm ࡜࡞ࡾࠊ఩⨨ㄗᕪࡀึᅇ㐀ᙧ᫬࡜ẚ ㍑ࡋ࡚ 1/5 ࡟పῶࡋࠊ⿵ṇࡢຠᯝࢆ☜ㄆ࡛ࡁࡓࠋ ࣮࣮࢟࣡ࢻ㸸ᶞ⬡ ' ࣉࣜࣥࢱࠊᑍἲ⿵ṇࠊ఩⨨ㄗᕪࠊ࣮࣍ࣝࣉ࣮ࣞࢺࠊ' ຍᕤ≀

Size correction on X–Y plane for work -pieces made with

resin 3D printer

TAKESHI Wago, HIROYUKI Nagashima, TAKASHI Kikuchi

and SHINGO Kurosu

The coordinates of hole-plates prepared with a resin 3D printer are measured by a coordinate measuring machine using image processing. Two-dimensional correction of the measured coordinates of the hole plates performed on the X-Y plane of the hole plate. For this purpose, the correction amount is back-calculated from the deformation ratios of the measured coordinates after the first printing of the hole plate by using the design value of the resin 3D printer. The average deformation ratio is 99.84% in fused deposition modeling (FDM) and 99.60% in laser beam lithography (LBL). Next, after the second printing of the hole plate by using the deformation ratios, the average position error becomes 8.52 ȝm in FDM and 27.89 ȝm in LBL. The position errors are thus reduced to one-fifth of those in the first printing and the effect of dimension correction method is confirmed.

key words: Resin 3D printer, Size correction, Position error, Hole plate, 2D work piece

 ⥴  ゝ ᚑ᮶ࡢྜᡂᶞ⬡〇ရ〇㐀ࡣࠊ㔠ᆺࢆ฼⏝ࡋࡓᑕฟᡂᙧ ἲ࡟ࡼࡾ⾜ࢃࢀ࡚࠸ࡓࠋᑕฟᡂᙧἲ࡛ࡣࠊ㔠ᆺ㞳ᆺᚋ࡟ ྜᡂᶞ⬡〇ရᑍἲࡀ཰⦰ࡍࡿࡇ࡜࠿ࡽࠊ㧗⢭ᗘࡢ〇ရࢆ ᚓࡿࡓࡵ࡟ࠊ཰⦰ศࢆ⪃៖ࡋࡓ㔠ᆺタィཬࡧᡂᙧ᮲௳Ỵ ᐃ࡞࡝ࡀᚲせ࡟࡞ࡿࠋ ୍᪉ࠊ㔠ᆺࢆ౑⏝ࡋ࡞࠸࡛┤᥋ⓗ࡟ྜᡂᶞ⬡〇ရࢆ〇 㐀࡛ࡁࡿ 3D ࣉࣜࣥࢱࡀࠊ⌧ᅾὀ┠ࢆ㞟ࡵ࡚࠸ࡿࠋࡉࡽ ࡟ 3D ࢫ࢟ࣕࢼ࡜㐃ᦠࢆᅗࡿࢡ࣮ࣟࢬࢻ࣮ࣝࣉ࢚ࣥࢪࢽ ࢔ࣜࣥࢢࢆ㐺⏝ࡍࡿࡇ࡜࡛ࠊ〇㐀≀ࡢᙧ≧ㄗᕪࢆ཰᮰ప ῶ໬ࡉࡏࠊྜᡂᶞ⬡〇ရࢆ㧗⢭ᗘ࣭㧗⬟⋡࡟〇㐀ࡍࡿࡇ  ࡜ࡶᮇᚅࡉࢀ࡚࠸ࡿࠋࡋ࠿ࡋ࡞ࡀࡽࠊ3D ࣉࣜࣥࢱ࡟ࡼࡾ 〇㐀ࡋࡓྜᡂᶞ⬡〇ရ࡟࠾࠸࡚ࡶࠊ〇㐀᫬ࡢᑍἲ⢭ᗘࡸ ⣸እ⥺ࠊ ᗘཬࡧ‵ᗘ࡞࡝࡟ࡼࡿ⤒ᖺຎ໬࡞࡝ࠊ〇㐀ᢏ ⾡࡟㛵ࡍࡿከࡃࡢᅛ᭷ᢏ⾡ࡀࡲࡔ༑ศ࡟⵳✚ࡉࢀ࡚࠸࡞ ࠸ࠋࡑࡇ࡛ࠊᅜ❧◊✲㛤Ⓨἲே⏘ᴗᢏ⾡⥲ྜ◊✲ᡤࢆ୰ ᚰ࡟ࠊࡇࢀࡽࢡ࣮ࣟࢬࢻ࣮ࣝࣉ࢚ࣥࢪࢽ࢔ࣜࣥࢢࡢᅛ᭷ ᢏ⾡ࢆ⵳✚ࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡋࡓࣉࣟࢪ࢙ࢡࢺࡀ㐍ࡵࡽ ࢀ࡚࠸ࡿࠋᙜࢭࣥࢱ࣮ࡶࡇࢀ࡟ཧຍࡋࠊඹྠ◊✲ࢆᐇ᪋ ࡋ࡚࠸ࡿࡀࠊᮏሗ࿌࡛ࡣࠊࣉࣟࢪ࢙ࢡࢺࡢ஦ົᒁࡀ♧ࡋ ࡓᡭ㡰᭩1) ࡟ᚑࡗ࡚ᶞ⬡ 3D ࣉࣜࣥࢱ࡛㐀ᙧჾ≀ࢆ〇స ࡋࠊࡑࡢ 2D ᪉ྥ࡟࠾ࡅࡿᑍἲ⿵ṇ࡟ྲྀࡾ⤌ࢇࡔ⤖ᯝࢆ        

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 ♧ࡍࠋ  ᐇ㦂᪉ἲ

 㐀ᙧ⿦⨨ཬࡧ〇㐀ჾ≀

 ᶞ⬡ 3D ࣉࣜࣥࢱ࡟ࡣࠊ⇕⁐ゎ✚ᒙἲ㸦Fused deposition modelingࠊ௨ୗࠊFdm ࡜グࡍ㸧࡜ග㐀ᙧἲ㸦Laser beam lithographyࠊ௨ୗࠊLbl ࡜グࡍ㸧ࡢ㸰✀ࢆ౑⏝ࡋࡓࠋ୺࡞ ௙ᵝࢆ⾲ 1 ࡟♧ࡍࠋ ⾲  㐀ᙧ࡛౑⏝ࡋࡓ ' ࣉࣜࣥࢱࡢ୺࡞௙ᵝ ࡑࢀࡒࢀࡢ⿦⨨ࡣ㐀ᙧཎ⌮ࡀ␗࡞ࡾࠊLbl ࡣᾮయ≧ࡢ ග◳໬ᛶᶞ⬡ࢆࢫ࣏ࢵࢺᚄࡢᑠࡉ࠸࣮ࣞࢨࣅ࣮࣒ࢆ↷ᑕ ࡋ࡚ᅛ໬ࡉࡏࡿ᪉ᘧ࡛࠶ࡿࠋࡑࡢࡓࡵ⢭⣽ࣆࢵࢳࡢ㐀ᙧ ࡀ⾜࠼ࡿࡀࠊ౑⏝ࡍࡿᶞ⬡ࡀ㝈ᐃࡉࢀࡿࠋ୍᪉ࠊFdm ࡣ ⧄⥔≧ࡢᶞ⬡ࢆ⁐ゎࡋࣀࢬࣝ࠿ࡽྤฟࡋ࡚✚ᒙࡉࡏࡿࡓ ࡵࠊ㐀ᙧ⬟⋡ࡣప࠸ࡀ ABS ᶞ⬡࡞࡝ỗ⏝ᶞ⬡࡟ࡼࡿ㐀ᙧ ࡀྍ⬟࡛࠶ࡿࠋࡇࡇ࡛ࡢ㐀ᙧ᫬ࡢ✚ᒙࣆࢵࢳࡣ Fdm ࡛ 0.127mmࠊLbl ࡛ 0.1mm ࡜ࡋࡓࠋ 㐀ᙧჾ≀ࡢᙧ≧ࡣࠊXࠊY ୧᪉ྥࡢ 2D ࡢᑍἲ⿵ṇࢆᑐ ㇟࡟ࡋࡓࡓࡵࠊᖹᯈ≧ࡢ〇ရᙧ≧࡜ࡋࡓࠋྛ㐀ᙧ᪉ᘧ࡛ 3 ಶࡎࡘ〇సࡋࡓჾ≀ࢆᅗ 1 ࡟♧ࡍࠋࡲࡓᅗ 2 ࡟ࠊ㐀ᙧ ࡋࡓჾ≀ࡢタィ್ࢆ♧ࡍࠋእᙧᑍἲࡣ 100×100×t5mm ࡛ ࠶ࡾࠊX ᪉ྥཬࡧ Y ᪉ྥ࡟ 15mm ࣆࢵࢳ࡛ ȭ2mm ࡢ㈏ ㏻✰ࢆ඲ 25 ಶ㓄⨨ࡋ࡚࠸ࡿࠋ ᅗ  ྛ ' ࣉࣜࣥࢱ࡛㐀ᙧࡋࡓჾ≀ ᅗ  㐀ᙧࡋࡓჾ≀ࡢタィ್  ᗙᶆ ᐃ  㐀ᙧࡋࡓჾ≀ࡢ✰఩⨨ࡣࠊ⏬ീᘧᗙᶆ ᐃᶵ㸦ᆺᘧ㸸 HQV404Proࠊ࣓࣮࢝㸸࣑ࢶࢺࣚ㸧ࢆ⏝࠸࡚ ᐃࡋࡓࠋ⏬ ീᘧᗙᶆ ᐃᶵࡢ୺࡞௙ᵝࢆ⾲ 2 ࡟♧ࡍࠋࡲࡓ ᐃ≀ᗙ ᶆ⣔ࡣᅗ 3 ࡢ࡜࠾ࡾ࡛࠶ࡾࠊᅗ୰ࡢ␒ྕࡣ✰ࡢ఩⨨ࢆ♧ ࡋ࡚࠸ࡿࠋ ⾲  ⏬ീᘧᗙᶆ ᐃᶵࡢ୺࡞௙ᵝ ᅗ  㐀ᙧࡋࡓჾ≀ࡢᗙᶆ⣔࡜✰␒ྕ  ᖹᯈ㠃ୖ࡟㸦X㸪Y㸧ᗙᶆࢆ⨨ࡁࠊࡑࢀ࡟ᑐࡍࡿἲ⥺᪉ ྥ࡟ Z ᗙᶆࢆ⨨࠸࡚ 2D ✵㛫࡛ᖹ㠃 ᐃࢆ⾜࠸ࠊ✰ 1 ࡜ ✰ 5 ࢆ㏻ࡿ┤⥺ࢆᅇ㌿㍈࡜ࡋ࡚ᅇ㌿ゅࢆ୚࠼ࡓࠋࡋࡓࡀ ࡗ࡚ࠊX ㍈࡜ Y ㍈ࡢࡑࢀࡒࢀࡢࢮࣟⅬࡣ✰ 1 ࡢ୰ᚰᗙᶆ ࡛࠶ࡾࠊZ ㍈ࡢࢮࣟⅬࡣᖹᯈࡢ୰ᚰ㠃ࠊࡍ࡞ࢃࡕᖹᯈୖ ➃ࡢ㠃࠿ࡽ-2.5mm ࡢ఩⨨࡟⨨࠸࡚࠸ࡿࠋ 㻱㼝㼡㼕㼜㼙㼑㼚㼠 㻲㻻㻾㼀㼁㻿㻌㻟㻢㻜㼙㼏㻌㻿 㻺㻾㻹㻙㻢㻜㻜㻜 㻹㼍㼚㼡㼒㼍㼏㼠㼡㼞㼑㼞 㻿㼠㼞㼍㼠㼍㼟㼥㼟㻌㻸㼠㼐㻚 㻯㻹㻱㼀㻌㻸㼠㼐㻚 㻹㼑㼠㼔㼛㼐 㻲㼡㼟㼑㼐㻌㼐㼑㼜㼛㼟㼕㼠㼕㼛㼚㻌㼙㼛㼐㼑㼘㼕㼚㼓 㻸㼍㼟㼑㼞㻌㼎㼑㼍㼙㻌㼘㼕㼠㼔㼛㼓㼞㼍㼜㼔㼥 㻼㼘㼍㼟㼠㼕㼏㼟 㼀㼔㼑㼞㼙㼛㼜㼘㼍㼟㼠㼕㼏㻌㼞㼑㼟㼕㼚㻔㼒㼕㼘㼘㼑㼞㻕 㻼㼔㼛㼠㼛㼏㼡㼞㼍㼎㼘㼑㻌㼞㼑㼟㼕㼚㻔㼘㼕㼝㼡㼕㼐㻕 㼂㼑㼞㼠㼕㼏㼍㼘㻌㼜㼕㼠㼏㼔 㻜㻚㻝㻞㻣㻌㼙㼙㻌㻛㻌㻜㻚㻝㻣㻤㻌㼙㼙㻜㻚㻞㻡㻠㻌㼙㼙㻌㻛㻌㻜㻚㻟㻟㻜㻌㼙㼙 㻜㻚㻜㻡㻌㼙㼙㻌㻛㻌㻜㻚㻝㻌㼙㼙㻌㻛㻌㻜㻚㻝㻡㼙㼙㻔㼟㼑㼘㼑㼏㼠㻕 㻹㼍㼤㼕㼙㼡㼙 㼙㼛㼐㼑㼘㼕㼚㼓㻌㼞㼍㼚㼓㼑 㼃㻌㻟㻡㻡㻌㽢㻌㻰㻌㻞㻡㻠㻌㽢㻌㻴㻌㻞㻡㻠 㼙㼙 㼃㻌㻢㻝㻜㻌㽢㻌㻰㻌㻢㻝㻜㻌㽢㻌㻴㻌㻡㻜㻜 㼙㼙 㻞 㻜 㻟 㻡 㻢 㻡 㻡 㻜 㻝 㻜㻜 㻢㻡 㻡㻜 㻟㻡 㻞㻜 㻤 㻜 㻞 䃥㻞 䃥㻣 㻤㻜 㻔㼙㼙㻕 㻡 㻟 㻝㻜㻜 㻹㼑㼍㼟㼡㼞㼑㼙㼑㼚㼠㻌㼞㼍㼚㼓㼑 㼄㻘㼅㻘㼆䠙㻠㻜㻜䠈㻠㻜㻜䠈㻞㻡㻜㼙㼙 㻵㼚㼐㼕㼏㼍㼠㼑㼠㼑㼐㻌㼑㼞㼛㼞㼞䠄㼁㻝䠅㼄㻘㼅㻌㼍㼤㼕㼟䚷㻔㻜㻚㻤㻗㻞㻸㻛㻝㻜㻜㻜㻕䃛㼙䠈㼆㻌㼍㼤㼕㼟䚷㻔㻟㻗㻞㻸㻛㻝㻜㻜㻜㻕䃛㼙䠈䠄㻸䠖㼘㼑㼚㼓㼠㼔㻌㼙㼙䠅 㻵㼚㼐㼕㼏㼍㼠㼑㼠㼑㼐㻌㼑㼞㼛㼞㼞䠄㼁㻞䠅 㼄㻘㼅㻌㼍㼤㼕㼟䚷㻔㻝㻚㻠㻗㻟㻸㻛㻝㻜㻜㻜㻕䃛㼙 㼃㼛㼞㼗㼕㼚㼓㻌㼐㼕㼟㼠㼍㼚㼏㼑 㻟㻠㼙㼙 㻾㼑㼟㼛㼘㼡㼠㼕㼛㼚 㻞㻚㻡䃛㼙䠄㼛㼎㼖㼑㼏㼠㼕㼢㼑㻌㼘㼑㼚㼟㽢㻝䠅 㻹㼑㼍㼟㼡㼞㼑㼙㼑㼚㼠㻌㼍㼞㼑㼍 㻴㻢㻚㻞㻣㽢㼂㻠㻚㻣㼙㼙䠄㼛㼎㼖㼑㼏㼠㼕㼢㼑㻌㼘㼑㼚㼟㽢㻝䠅 㼀㼛㼠㼍㼘㻌㼙㼍㼓㼚㼕㼒㼕㼏㼍㼠㼕㼛㼚 㽢㻟㻞䠄㼛㼎㼖㼑㼏㼠㼕㼢㼑㻌㼘㼑㼚㼟㽢㻝䠅

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㻞㻞 㻞㻟 㻞㻠



(3)

✰఩⨨ࡢ ᐃ᪉ἲࡣࠊᗙᶆ ᐃჾ࡟࠶ࡿ෇ ᐃࢥ࣐ࣥ ࢻࡢ⮬ື࢚ࢵࢪ᳨ฟᶵ⬟ࢆ฼⏝ࡋࠊ඲࿘ 177 Ⅼ࡛᭱ᑡࢽ ஌ἲ࡛ࡢ෇㏆ఝ࡟ࡼࡾồࡵࡓࠋࡲࡓ ᐃㄗᕪࢆ㝖ࡃࡓࡵ ࡟཯㌿ἲࢆ౑⏝ࡋ D0ࠊDXࠊDYࠊDZ ࡢ 4 ጼໃ࡛ CNC ⮬ື ᐃࢆࡑࢀࡒࢀ 1 ጼໃ࠶ࡓࡾ 5 ᅇ⧞ࡾ㏉ࡋࠊ1 ჾ≀ ࠶ࡓࡾ 20 ᅇ ᐃࡋࡓࠋ ཯㌿ἲࡢ 4 ጼໃ࡜ࡣࠊX-Y ㍈࡛ᙧᡂࡍࡿ┤஺ᗙᶆ⣔ࡢ ➨୍㇟㝈࡟ ᐃ≀ࢆ⨨࠸ࡓጼໃࢆ D0 ࡜ࡋࠊࡇࢀࢆ X ㍈ ࡟ᑐࡋ࡚ 180rᅇ㌿ࡋࡓጼໃࢆ DXࠊY ㍈࡟ᑐࡋ࡚ 180r ᅇ㌿ࡋࡓጼໃࢆ DYࠊࡉࡽ࡟ DX ࢆ Y ㍈࡟ᑐࡋ࡚ 180r ᅇ㌿ࡋࡓጼໃࢆ DZ ࡜ࡍࡿࡶࡢ࡛࠶ࡿࠋ  ⤖ᯝཬࡧ⪃ᐹ  タィ್࠿ࡽࡢㄗᕪ  ඛࡎࠊFdm ࡜ Lbl ࡛㐀ᙧࡋࡓჾ≀ࢆ⏬ീᘧᗙᶆ ᐃᶵ ࡛ ᐃࡋࠊࡑࢀࡒࢀࡢჾ≀ࡢ✰ࡢ෇୰ᚰᗙᶆࢆᚓࡿࠋࡇ ࡇ࡛ჾ≀ࡢಶయ␒ྕࢆῧ࠼Ꮠ 1ࠊ2ࠊ3 ࡛⾲ࡋࠊFdm1ࠊFdm2ࠊ Fdm3ཬࡧ Lbl1ࠊLbl2ࠊLbl3࡜ࡍࡿࠋ ᭱⤊ⓗ࡟㐀ᙧჾ≀ 1 ಶ࠶ࡓࡾ X ㍈࡛ 25 ಶࠊY ㍈࡛ 25 ಶࡢ✰ࡢ෇୰ᚰᗙᶆ್ࢆྲྀᚓࡋࠊㄗᕪಸ⋡ࢆຍ࠼ࡓᗙᶆ ್ ݃ሺݔǡ ݕሻ (mm)ࢆᘧ(1)࡛⟬ฟࡋࡓࠋxࠊy ࡣࡑࢀࡒࢀ X ㍈࠾ࡼࡧ Y ㍈ୖࡢᗙᶆ್࡛࠶ࡿࠋ g(x,y) nom(x,y)s(x,y) ࣭࣭࣭(1) ࡇࡇ࡛ࠊ݊݋݉ሺݔǡ ݕሻࡣ✰఩⨨ࡢタィ್㸦mm㸧࡛࠶ࡾࠊࡲݏሺݔǡ ݕሻ (mm)ࡣ✰ࡢㄗᕪࢆ 100 ಸࡋࡓ್࡛࠶ࡾࠊ(2)ᘧ ࡛୚࠼ࡽࢀࡿࠋ s(x,y)

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meas(x,y)nom(x,y)

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u100 ࣭࣭࣭(2) ݉݁ܽݏሺݔǡ ݕሻࡣ✰ࡢ఩⨨ࡢ ᐃ್㸦mm㸧࡛࠶ࡿࠋ タィ್࠿ࡽࡢㄗᕪࢆ⾲ 3ࠊ✰఩⨨ࢆㄗᕪಸ⋡ 100 ಸ࡛ ࣉࣟࢵࢺࡋࡓ⤖ᯝࢆᅗ 4ࠊ5 ࡟♧ࡍࠋᅗ୰ࡢ㯮Ⅼ࡛♧ࡋࡓ 1st_Mea ࡣึᅇ㐀ᙧ࡛ࡢ✰఩⨨ࡢ ᐃ್࡛ࠊNom ࡣ✰఩ ⨨ࡢタィ್࡛࠶ࡿࠋᅗ 4ࠊ5 ࠿ࡽ Fdm ࡜ Lbl ࡢ཮᪉࡜ࡶ ᅗ ึᅇ㐀ᙧࡢ✰఩⨨㸦)GP㸧 ᅗ ึᅇ㐀ᙧࡢ✰఩⨨㸦/EO㸧 ཰⦰ഴྥࡀぢࡽࢀࠊ཰⦰ࡢ኱ࡁࡉࡣ Lbl ࡢ᪉ࡀ኱ࡁ࠸ ࡇ࡜ࡀุࡿࠋ ⾲ 3 ࡟♧ࡋࡓタィ್࠿ࡽࡢᕪࡣࠊ㐀ᙧ᪉ἲẖ࡟㸱ಶࡎ ࡘ〇సࡋࡓࡶࡢࡢᖹᆒ್࡛࠶ࡿࠋᖹᆒ್ࡢ⟬ฟࡣṇ㸭㈇ ࡢ➢ྕ࡛ㄗᕪ್ࡀ┦ẅࡉࢀ࡞࠸ࡼ࠺࡟⤯ᑐ್ࢆྲྀࡗ࡚ồ ࡵࡓࠋタィ್࠿ࡽࡢㄗᕪࡣ Fdm ࡢ᪉ࡀ Lbl ࡼࡾᑠࡉࡃࠊ ࡑࡢࡓࡵᶆ‽೫ᕪı ࡶᑠࡉࡃ⟬ฟࡉࢀࡓࠋ ⾲  ึᅇ㐀ᙧ᫬ࡢ఩⨨ㄗᕪ   ⿵ṇᗙᶆ್ࡢ⟬ฟ  3-1 㡯࡛ᚓࡽࢀࡓタィ್࠿ࡽࡢㄗᕪࢆ⏝࠸࡚㐀ᙧ᫬ࡢ ⭾ᙇ཰⦰ศࢆぢ㎸ࢇࡔ⿵ṇࢆ⾜࠺ࡇ࡜࡛ࠊタィ್࠿ࡽࡢ ㄗᕪࢆᑠࡉࡃࡍࡿ᪉⟇ࢆ᳨ウࡋࡓࠋࡑࡢ⤖ᯝࠊ௨ୗࡢ᪉ ἲ࡛⿵ṇ࡛ࡁࡿࡇ࡜ࢆぢ࠸ࡔࡋࡓࠋ ࡲࡎࠊึᅇࡢ㐀ᙧ࡛✰఩⨨ࢆ ᐃࡋࠊࡑࡢ✰఩⨨࠿ࡽ タィ್࡟ᑐࡍࡿኚᙧ⋡ࢆồࡵࡿࠋḟ࡟ࠊࡑࡢኚᙧ⋡ࢆ฼ ⏝ࡋ࡚෌㐀ᙧࢆ⾜࠺࡜ࠊ෌㐀ᙧ᫬࡟ኚᙧ⋡࡟ࡣኚᙧ⋡࡟ ᚑࡗࡓ⭾ᙇ཰⦰ࡀ⏕ࡌ࡚タィ್࡟཰᮰ࡍࡿࠋࡇࡢࡇ࡜ࢆ ⏝࠸࡚✰ࡢ఩⨨ㄗᕪࢆ⦰ᑠࡉࡏࡿ᪉ἲࠋࡇࡇ࡛ኚᙧ⋡ def 㸦㸣㸧ࡣࠊ࠶ࡿᗙᶆ㸦xࠊy㸧࡛ࡢ ᐃ್ཬࡧタィ್ࢆ ܮ௠௘௔ሺݔǡ ݕሻཬࡧܮ௡௢௠ሺݔǡ ݕሻ࡜ࡍࡿ࡜ᘧ(3)ࠊ(4)࡛ồࡵࡽࢀ ࡿࠋ 100 ) , ( ) , ( 0 ) , ( ), , ( u ! y x L y x L def y x L y x L nom mea nom mea ࡢሙྜ ࣭࣭࣭(3)

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100 1 ) , ( 1 ) , ( 0 ) , ( ), , ( u   d y x L y x L def y x L y x L nom mea nom mea ࡢሙྜ ࣭࣭࣭(4) Ͳ10 0 10 20 30 40 50 60 Ͳ10 0 10 20 30 40 50 60 Y a xi s (m m ) Xaxis (mm) 1st_Mea Nom Ͳ10 0 10 20 30 40 50 60 Ͳ10 0 10 20 30 40 50 60 Y a xi s (m m ) Xaxis (mm) 1st_Mea Nom 䃛㼙 㼄 㼅 㻲㼐㼙㻝㻘㻞㻘㻟䠄㼍㼢㼑㼞㼍㼓㼑䠈㼚㻩㻣㻡㻕 㻠㻞㻚㻣㻥 㻡㻢㻚㻣㻜 䃢㻌㻔㼚㻩㻝㻡㻜㻕 㻸㼎㼘㻝㻘㻞㻘㻟䠄㼍㼢㼑㼞㼍㼓㼑䠈㼚㻩㻣㻡㻕 㻝㻞㻢㻚㻝㻞 㻝㻝㻟㻚㻥㻞 䃢㻌㻔㼚㻩㻝㻡㻜㻕 㻞㻣㻚㻜㻟 㻤㻠㻚㻟㻜 

(4)

 ࡇࡇ࡛ᘧ(4)ࡣࠊタィ್ࡀ 0 ࡢሙྜࡣィ⟬࡛ࡁ࡞࠸ࡓࡵࠊ 0 ࠿ࡽ 1 ࡢ೫ࡾࢆ୚࠼࡚ィ⟬ࡍࡿࠋ ḟ࡟⿵ṇᗙᶆ್ࡣࠊܮ௖௢௠௣ሺšǡ ›ሻࢆ᭱⤊ⓗ࡟ồࡵࡿ⿵ṇ ᗙᶆ(x, y)࡜ࡍࡿ࡜ᘧ(5)ࠊ(6)ࡼࡾồࡵࡽࢀࡿࠋ def y x L L L y x L def y x L y x L mea comp comp mea nom mea ) , ( 100 : ) , ( 100 : 0 ) , ( ), , ( u ! ࡼࡾ ࡢሙྜ ࣭࣭࣭(5) ) , ( 1 0 ) , ( ), , ( y x L L y x L y x L mea comp nom mea u  d ࡢሙྜ ࣭࣭࣭(6) ᘧ㸦5㸧ࡣẚ౛ࡢィ⟬ᘧ࡟ࡼࡾ 100㸣᫬ࡢᗙᶆ್ࢆồࡵࡿ ࡶࡢ࡛࠶ࡿࠋタィ್ࡀ 0 ࡢሙྜࡢᑐ⟇࡜ࡋ࡚ࠊᘧ(6)࡟ࡼ ࡾ 0 ࢆ㉳Ⅼ࡟཯㌿ࡍࡿ᪉ἲ࡜ࡋ࡚࠸ࡿࠋ ⾲ 4 ࡟ࠊᘧ(3)ࠊ(4)࡟ࡼࡾ⟬ฟࡋࡓኚᙧ⋡ࢆ♧ࡍࠋᚓࡽ ࢀࡓኚᙧ⋡ࡢᖹᆒ್ࡣࠊFdm ࡛ 99.84%ࠊLbl ࡛ 99.60%࡜ ࡞ࡗࡓࠋኚᙧ⋡ࡢࡤࡽࡘࡁࢆᶆ‽೫ᕪ ı ࡛⾲ࡋࡓ⤖ᯝࠊ Fdm ࡛ 0.972 㸣ࠊLbl ࡛ 0.447 㸣࡜࡞ࡗࡓࠋLbl ࡣ Fdm ࡼࡾኚᙧ⋡ࡣ኱ࡁ࠸ࡀࠊࡤࡽࡘࡁࡀᑠࡉࡃࠊ⿵ṇ⢭ ᗘࡣ㧗ࡃ࡞ࡿ࡜ண᝿ࡉࢀࡿࠋ  ⾲ ᘧ  ࠊ  ࡼࡾ⟬ฟࡋࡓኚᙧ⋡  ᅗ  ᘧ  ࠊ  ࡟ࡼࡾ⟬ฟࡋࡓ⿵ṇ್㸦)GP㸧 ᅗ  ᘧ  ࠊ  ࡟ࡼࡾ⟬ฟࡋࡓ⿵ṇ್㸦/EO㸧 ⿵ṇ್ࡢᗙᶆࣉࣟࢵࢺࢆᅗ6ࠊᅗ7࡟♧ࡍࠋᅗ୰ࡢComp ࡣ෌㐀ᙧ࡛౑⏝ࡍࡿ⿵ṇࡋࡓ✰఩⨨ࠊNom ࡣ✰఩⨨ࡢタ ィ್࡛࠶ࡿࠋ㐺ṇ࡞⿵ṇࡀᐇ᪋ࡉࢀࢀࡤࠊᅗ୰ࡢ⿵ṇࡋ ࡓ✰఩⨨ࡀ㐀ᙧᚋ࡟タィ್࡬཰᮰ࡍࡿࡇ࡜ࡀぢ㎸ࡲࢀࡿࠋ  ෌㐀ᙧࡢ⤖ᯝ  ᘧ(3)㹼(6)࡛ᚓࡽࢀࡓኚᙧ⋡ࢆ฼⏝ࡋ࡚⿵ṇࡋࡓᗙᶆ ್࡛ 1 ಶࡎࡘ෌㐀ᙧࡋࡓ⤖ᯝࢆᅗ 8ࠊ9 ࡟♧ࡍࠋᅗ୰ࡢ 1st_Mea ࡣึᅇ㐀ᙧ᫬ࡢ✰఩⨨ࡢ ᐃ್ࠊ2nd_Mea ࡣ෌ 㐀ᙧ᫬ࡢ✰఩⨨ࡢ ᐃ್ࠊNom ࡣ✰఩⨨ࡢタィ್࡛࠶ࡿࠋ 㐀ᙧ᮲௳ࡣึᅇ㐀ᙧ᫬࡜ྠᵝ࡜ࡋ࡚࠸ࡿࠋࡑࡢ⤖ᯝࠊᅗ 8ࠊ9 ࡢ࡜࠾ࡾ⿵ṇࡀⰋࡃᶵ⬟ࡋࠊึᅇࡢ㐀ᙧ᫬࡟ẚ㍑ࡋ ࡚෌㐀ᙧ᫬࡛఩⨨ㄗᕪࡀᑠࡉࡃ࡞ࡗ࡚࠸ࡿࠋ ⾲ 5 ࡟఩⨨ㄗᕪࢆ♧ࡍࠋ఩⨨ㄗᕪࡣ Fdm ࡢᖹᆒ್ 8.52ȝmࠊᶆ‽೫ᕪ ı9.62ȝmࠊLbl ࡢᖹᆒ್ 27.89ȝmࠊᶆ‽ ೫ᕪı15.68ȝm ࡟࡞ࡗࡓࠋࡇࢀࡣࠊึᅇ㐀ᙧ᫬ࡢ఩⨨ㄗ ᕪ࡜ẚ㍑ࡋ࡚ࠊ෌㐀ᙧ᫬ࡢ఩⨨ㄗᕪࡀ Fdm ࡛ࡣ 0.17ࠊLbl ࡛ࡣ 0.21 ࡟࡞ࡾࠊ఩⨨ㄗᕪࡣ࡯ࡰ 1/5 ࡟⦰ᑠࡋࡓࠋ ᅗ ෌㐀ᙧࡢ✰఩⨨㸦)GP㸧 䠂 㼄 㼅 㻲㼐㼙㻝㻘㻞㻘㻟䠄㼍㼢㼑㼞㼍㼓㼑䠈㼚㻩㻣㻡㻕 㻥㻥㻚㻤㻤 㻥㻥㻚㻣㻥 㻭㼢㼑㼞㼍㼓㼑㻌㻔㼚㻩㻝㻡㻜㻕 㼜 䃢㻌㻔㼚㻩㻝㻡㻜㻕 㻸㼎㼘㻝㻘㻞㻘㻟䠄㼍㼢㼑㼞㼍㼓㼑䠈㼚㻩㻣㻡㻕 㻥㻥㻚㻡㻤 㻥㻥㻚㻢㻟 㻭㼢㼑㼞㼍㼓㼑㻌㻔㼚㻩㻝㻡㻜㻕 䃢㻌㻔㼚㻩㻝㻡㻜㻕 㼝 㼝㻛㼜㽢㻝㻜㻜 㻜㻚㻥㻣㻞 㻜㻚㻠㻠㻣 㻥㻥㻚㻣㻣 㻥㻥㻚㻤㻠 㻥㻥㻚㻢㻜 Ͳ10 0 10 20 30 40 50 60 70 80 90 Ͳ10 0 10 20 30 40 50 60 70 80 90 Y a x is ( m m ) X axis (mm) Comp Nom Ͳ10 0 10 20 30 40 50 60 70 80 90 Ͳ10 0 10 20 30 40 50 60 70 80 90 Y a x is ( m m ) X axis (mm) Comp Nom Ͳ10 0 10 20 30 40 50 60 70 Ͳ10 0 10 20 30 40 50 60 70 Y a x is ( m m ) X axis (mm) 㽢100 1st_Mea 2nd_Mea Nom 

(5)

ᅗ ෌㐀ᙧࡢ✰఩⨨㸦/EO㸧   ⾲ ෌㐀ᙧᚋࡢ఩⨨ㄗᕪ   ⤖  ゝ ௨ୖࡢ ᐃ⤖ᯝ࡜⪃ᐹࠊ࠾ࡼࡧ෌㐀ᙧࡢ⤖ᯝ࠿ࡽࠊḟ ࡢࡼ࠺࡞⤖ㄽࢆᚓࡓ (1) ⇕⁐ゎ✚ᒙἲ࡜ග㐀ᙧἲࡢ஧✀㢮ࡢᶞ⬡ 3D ࣉࣜࣥ ࢱ࡟ࡼࡾ㐀ᙧࡋࡓჾ≀ࡢ✰఩⨨ࢆẚ㍑ࡋࡓ࡜ࡇࢁࠊタ ィ್࠿ࡽࡢㄗᕪࡣ⇕⁐ゎ✚ᒙἲ࡛ 56.70ȝmࠊᶆ‽೫ᕪ ı28.70ȝmࠊග㐀ᙧἲࡣ 126.12ȝmࠊᶆ‽೫ᕪ ı83.39ȝm ࡜࡞ࡾࠊ཮᪉࡜ࡶ཰⦰᪉ྥ࡟ኚᙧࡋ࡚࠸ࡓࠋ (2) 㐀ᙧࡋࡓჾ≀ࡢ✰఩⨨ࢆタィ್࡟㏆࡙ࡅࡿࡓࡵࠊึ ᅇ㐀ᙧ᫬࡟タィ್࠿ࡽࡢኚᙧ⋡ࢆồࡵࠊࡑࡢኚᙧ⋡࠿ ࡽ㏫⟬ࡋ࡚⿵ṇ㔞ࢆồࡵࡿ⿵ṇᘧࢆᑟ࠸ࡓࠋࡇࡇ࡛ࡢ ኚᙧ⋡ࡣ⇕⁐ゎ✚ᒙἲ࡛ 99.84%ࠊග㐀ᙧἲ࡛ 99.60% ࡜⟬ฟࡉࢀࡓࠋࡇࡢ᪉ἲ࡛ࡣᇶ‽ᗙᶆࡀ 0 ࡢሙྜࡣィ ⟬࡛ࡁ࡞࠸ࡢ࡛ࠊࡑࡢሙྜࡣࢮࣟⅬࢆ㉳Ⅼ࡟➢ྕࢆ཯ ㌿ࡉࡏࡿ⡆᫆࡞᪉ἲࢆ࡜ࡗࡓࠋ (3) ⿵ṇࢆ⾜࠸෌㐀ᙧࡋࡓ⤖ᯝࠊ఩⨨ㄗᕪࡣ⇕⁐ゎ✚ᒙ ἲ࡛ࡣᖹᆒ್ 8.52ȝmࠊᶆ‽೫ᕪ ı9.62ȝmࠊග㐀ᙧἲ࡛ ࡣᖹᆒ್ 27.89ȝmࠊᶆ‽೫ᕪ ı15.68ȝm ࡜࡞ࡾࠊึᅇ㐀 ᙧ᫬ࡢ఩⨨ㄗᕪ࡜ẚ㍑ࡍࡿ࡜෌㐀ᙧ᫬ࡢ఩⨨ㄗᕪࡣ⣙ 1/5 ࡟⦰ᑠࡉࢀࡓࠋ ㅰ  ㎡ ࡇࡢ◊✲ࡣࠊ⏘⥲◊ᆅᇦ㐃ᦠᡓ␎ண⟬ࣉࣟࢪ࢙ࢡࢺ ࠕ3D ィ ࢚࣮࣎ࣜࣗࢩࣙࣥࠖ㸦3D3 ࣉࣟࢪ࢙ࢡࢺ㸧࡛ᐇ ᪋ࡋࡓࠋᮏඹྠ◊✲࡟ᦠࢃࡗࡓࡍ࡭࡚ࡢ◊✲⪅࡟ឤㅰࡍ ࡿࠋ ᩥ  ⊩ 1) 3D3 ࣉࣟࢪ࢙ࢡࢺ㐠Ⴀ༠㆟఍㸸ᐇ᪋࢞࢖ࢻࣛ࢖ࣥᆅᇦ ㄢ㢟 2㸦2016㸧 Ͳ10 0 10 20 30 40 50 60 70 Ͳ10 0 10 20 30 40 50 60 70 Y a x is ( m m ) X axis (mm) ×100 1st_Mea 2nd_Mea Nom 䃛㼙 㼄 㼅 㻲㼐㼙㻝㻘㻞䠄㼍㼢㼑㼞㼍㼓㼑䠈㼚㻩㻡㻜㻕 㻤㻚㻝㻞 㻤㻚㻡㻞 䃢㻌㻔㼚㻩㻝㻜㻜㻕 㻸㼎㼘㻝㻘㻞䠄㼍㼢㼑㼞㼍㼓㼑䠈㼚㻩㻡㻜㻕 㻞㻝㻚㻡㻡 㻞㻣㻚㻤㻥 䃢㻌㻔㼚㻩㻝㻜㻜㻕 㻤㻚㻟㻥 㻝㻟㻚㻤㻜 

参照

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