㋧Ⳍӡԇ SKD61 ᑁң⻘ӝңʠಂ̬⤑ಙӡԇඖ⋱Ӡኔ
ࢁṙ1ʳ ܨ⧷2ʳ ޕഫ2
1ഏمॡݠઝݾՕᖂ೯Ժᖲඳߓ
2ഏمॡݠઝݾՕᖂᖲඳ፹ທߓ
ၪ ⣬
ᲿԊ᮫ᅠߡもὊᦩ⎞ఱࢍ⃥ʠջ⬹՛ŊҪԽʀߡҙᠰ՛᱿Ⱨ⩐Ŋ Ⲧ͐׆ሷ᱿Ὂᦩѭ՛ᲩاⲻⱧŊߡҙೇۄ₥₥Ẽദᙹक༼⫏ᮝᮟŊॖ̬ဏᆒᮟ Ꮘ༬⠛ᖛדᄮ㋤ᮟٴծ⡶Ŋ˫ဏ㋧ὊᦩԻᆯᄎಓ⎞Ꮘ᮹㈪⣬ՁԻᲿᐻʠɺȯ
㋧Ⳍ⺊ԇӝңఱࢍŊ᮫ᅠߡҙ⢌ⳍᏈᑁңᏈ߱ӝң᱿ᮢʀŊദദ۹ⴆႹ ᕗߡҙᮝᮟʠӝң⪽ʀ 3~4 Φ᱿ߡकӝңŊἄҢ׆ߌʜᆯଃ߭ᮟٴᗞሷΒൔ ʠᄑŊʈߡҙӝң⢌ⳍۄⵣ଼ᅠ 20 ː˫ʁ᱿ଅࠣ˺ᏈŊᶇᱹ⋱ԻŊ˫ᮟ ٴञⵒ˷༫⣢ߡकȯ
ᶇἄરໞɺहᐉરᄮʠ㋧ⳌὉ⺊ӝң᱿ಂ̬ഐᨊאᄲŊଃӡԇ SKD61 ᑁң⻘᱿ӡԇඖ⋱ഛㅨʠӠኔᑁೣŊרဏᆒߡҙӝң⢌ⳍۄ᱿ᱹ⥑⤺⋱ԻŊ Ⳗ≟ೖ̖ᔍᶇἄໞኞᑁೣଃҢቨᅆ (⺭⸉Ȯ⹃⸉ƥ) Խడトӝңʠ⥑
⤺ᱹŊ֯ᆯ૽ᱹ⥑⤺༬⠛᱿ Know-How Ἴ߱ߡҙӝң⢌ⳍೇۄُҝ
ҙŊ͐ʑଅ˺ᏈऽહࡣḞʏᖝ↲ȯ
〦⼫⥱ŘຒףՠΔ֊চᑇΔԸࠠ༓۶Ζ
THE ANALYTICAL OF MACHINABILITY OF END-MILL GEOMETRYFOR HIGH SPEED MILLING SKD61 TOOL STEEL
Dai-Jia Juan1 Huai-Shiun Lu2 Bean-Yin Lee2
1Department of Power Mechanical Engineering
National Huwei Universty of Science & Technology Yunlin, Taiwan 632, R.O.C
2Department of Mechanical Manufacture Engineering National Huwei Universty of Science & Technology
Yunlin, Taiwan 632, R.O.C
Key Words: HSM, cutting performances, tool geometry.
ABSTRACT
Because of international competition, the integration of world markets, and the environment of economic conditions, the advantages we had have gone away. That has caused many factories to move overseas for good profits. It becomes more and more important for factories to promote the techniques of production in Taiwan. Although the prices of HSM end-mill tools made in Taiwan is 1/4 to 1/3 of those made by advanced countries, the factories in Taiwan use cutting tools made by advanced countries rather than those made in Taiwan in the high speed machining (HSM) field. This
shows that engineers in the cutting field have less confidence in the cutting tools made in Taiwan. One of the reasons announced by cutting engineers is that the tool manufacturers in Taiwan are too small to do research and design in the field of HSM cutting tools.
The main purpose of this project is to construct an analytic model which shows the relationships between the geometry of end-mills and the cutting performance of SKD 61 mold-die steel. The (R&D) ability of tool manufacturers in Taiwan shall be improved by using this system. Also, tool manufacturers can model this system for other materials (Aluminum, Titanium,…) in their advanced tool designing. That is to say, the know-how of tool design can be enhanced in the factories which still stay in Taiwan.
Also, the factories shall promote their competitive position in the world.
ɺȮԊ ⤵
ؾছՠࠠᖲհૹႨਢຒ֏ݾऱ࿇୶Δۖຒ
֏ݾऱ࿇୶ױ։ࠟຝ։Δԫຒ֊চݾ (High
Speed MachiningΔHSM) ԫܛਢຒၞݾΖຒ֊
চ֗ຒၞݾਢءזݾૹऱԫᛩΔֲءՠࠠᖲ ᐗ०൷ءધऱࠐᜯΔܑಾኙءזՠࠠᖲઔᚵՠ
ࠠขᄐآࠐհ࿇୶೯ٻΔࠡխܛലຒ֊চ֗ຒၞݾ
٨Ե࿇୶ऱૹរΔ៶طၗΕၞհຒ֏Δၞԫޡ༼
֒ขᄐऱسขயΖ
ԫԳኙຒ֊চ່୲࣐ขسհळរΚ 1.ຒ֊চ ףՠലࠌԸࠠ߰ຒᗣჾΔᖄીףՠګءᏺۖլࠠᆖᛎய 墿Ζ 2.ຒ֊চףՠႛᔞش࣍᎘ٽ८Δڕᔱٽ८ΕᎭٽ८
ޗறΖ܀ط࣍Ըࠠޗற࿇୶߰ຒΔࠌԸࠠऱ࿏৫Εર ᗣࢤΕႇࢤאࣔ᧩ޏΔࠃኔথᢞࣔԱຒ֊চΔࠌ
ףՠழၴᜍԱપ 20 %~50 %Δࠀط࣍ՠٙ।૿٠৫Օ
༏༼֒ፖՠٙᑷ᧢ݮ྇֟ΔՈڂڼ྇֟ᑷழၴא֗ګ ءሒ 80 %Ζຍࠄإٻऱܓ墿ኙ࣍ᅝվՠᇷይΕՠ܂ழᑇ
ֲ墿ᜍհषᄎۖߢΔᖞ᧯ףՠګء֘ۖ૾܅Δسขய
ঞᏺΖຒ֊চԫጟຒ֊চຒ৫֗ၞ܀܅֊চ
৫ऱ֊চֱڤΔլ܀ױא༼ޗறฝೈ֗૾܅ףՠழ
ၴፖګء؆Δࠀڂ֊চຒ৫Δՠٙऱ।૿ᔆઌᅝᚌߜΔ
ܑᔞٽ֜ሿٙፖᑓࠠףՠᄐΔڂڼຒ֊চݾီ
آࠐԼڣᖲඳՠᄐᣂݾհԫΔףאഏփᖲඳข ᄐ२ڣࠐឈດޡሀԵᇠᏆΔՈຬᥛ֧ၞ HSM ऱઌᣂݾ
Δ܀֧ၞऱݾೣૹڇขᐋڻऱسขࢨਢԸࠠऱז
Δኙ࣍ઌᣂऱഗ៕ݾլᓵਢຒၗऱૠسขݾ
ࢨਢઌኙᚨऱ൳ࠫᕴא֗ CAD/CAM ຌ᧯ݾऱ࿇୶ፖჸ
Δࢨਢ֊চݾऱ֭གຟᜳஇۖڶઌᅝ૰֊ऱᏁ ޣΖۖઌኙ࣍࿏ޗ֊চࢨຒ֊চհףՠᛩቼΔႨؘڶ
࿏৫ΕરᗣԸࠠፖհٽΔࡨ౨୶נຒ֏ݾհ ᖞ᧯פயΔ༉ቝ܄ᑗհ࣍Տߺ್ΔڶՏߺ್ۖڶ܄ᑗ ऱᇩΔലᣄא࿇ཀ،ऱய౨Ζڂڼಾኙᔞش࣍ຒᎵচԸ
ࠠऱၲ࿇Δ༉᧩ઌᅝऱૹΖ
ᙟထઝݾऱၞޡΔ२ڣࠐຒףՠऱݾΔڇຒף
ՠ ᖲ ፖ ࡌ ᢰ ݾ լ ឰ ၞ ޡ Հ Ι ດ ዬ ګ ९ ޓ ݙ ໂ Ζ
Schulz[1,2]
ڇ२༓ڣ࿇।Աڍᒧऱઌᣂᓵ֮Δࡳᆠנ
ຒ֊চऱటإრᆠΔᎅࣔຒ֊চլႛ༼سขԺհ
؆Δࠡ֊চԺ૾܅Δՠٙࡉ݈ߓอᑷ᧢ݮ྇՛Δ।૿ษ ᜋ৫ߜړΕ֊চழޓࡳࢤΖTlusty[3]ኙຒ֊চऱࡳ
ࢤՈ༼נԫᓵΖഏփᖂृᓐݳګ[4]ኙᑓࠠٽ८ຒ Ꮅচ່ࠋ֊চᑇՈԱԫࠄઔߒΖ؆ᝫڶԫࠄᖂृ
[5,6,7,8,9,10]
ኙຒ֊চᚨش࣍լٵޗறऱ֊চࢤ౨ԫ
ࠄઔߒΔፖຒ֊চհ࿇୶ԫࠄ։࣫ΖShatla[11]ܓش
FEM৬مᨵᙰፖݮᎵԸऱ։࣫ᑓڤΔEngin[12]ಾኙԫ
ᝅ ඝ ጤ Ꮅ Ը ৬ ዌ ࠡ ֊ চ Ժ ፖ ೯ ኪ ᑓ ڤ Δ Taylan[13] א
DEFORM
ຌ᧯Δ৬ዌנױቃྒྷຒؓᎵԸڇ֊চףՠழऱ
֊চԺΕԸࠠࢭ࠹ᚨԺፖᄵ৫ଖΔױԸࠠૠऱ
ەΔChiang[14]Ոܓش༓۶ᣂএፖֺ֊চԺ։࣫৬ዌנԫ ଡױ։࣫ᎵԸऱ֊চԺᑓڤΖۖ Juan[15]ٍམኙ SKD61 ᑓࠠᙓ࣍ຒᎵচᑇऱᙇᖗࡉףՠګءհംᠲၴΔ൶ಘ
ຒ֊চᑇհ່ࠋᙇᖗΖطאՂհ֮ڃΔ܂ृ࿇
ഏփ؆ৰ֟ᖂृڇԸࠠ༓۶ߡ৫ፖ֊চࢤ౨հᣂএထᕠΖ ءઔߒڶᣂऱݾܫΔԸࠠ༓۶ᑇኙ֊চࢤ౨հ ᐙΔ༉ഏ؆ຒԸࠠ፹ທۖߢΔਢࠡֆૹऱ
Know-How
ΔۖഏփຒԸࠠ፹ທΔঞ༓ڶ৬ዌڼ
ݾᇷறΖ
ʷȮAbductive ℐ⭰
ڇᒔࡳൣउՀΔࠉᖕԫංᓵ֗ॣࡨࠃٙංᓵ
ࠩᄅऱࠃٙհංᓵֱڤጠ Deductive ංᓵΖլመΔኔᎾ
ംᠲհංᓵΔᆖൄਢڇլᒔࡳհणउՀၞ۩ΖڂڼΔڇլ ᒔࡳणउՀΔࠉᖕԫංᓵ֗ॣࡨࠃٙၞ۩ංᓵא
ࠩ ᄅࠃٙ հං ᓵֱऄ ঁ ጠ Abductive ංᓵ[16] Δ
Abductiveጻሁਢᆖط Abductive ංᓵࢬ৬مհጻሁΖ
࣠ΔAbductive ጻሁբৰڶயچᚨشڇᓤᠧᙁנߓอհቃ
ྒྷΖ
ڇ Abductive ጻሁխΔᓤᠧߓอ٣։ᇞګৰ՛ۖ១
հڻߓอΔྥ৵ܓشڍႈڤࠤᑇᆏរิګڍլٵᐋ
్ΖٵழΔᙁԵ᧢ᑇՈ։ิ৵ᙁԵٺଡࠤᑇᆏរၞ۩ዝ
ߧ 1 ㋧Ⳍӡԇ૪㊹Խడഐ
ጩΔא৬ዌ Abductive ጻሁΔڇ৬ዌ Abductive ጻሁழΔଈ ٣ؘᏁڶᙁԵࡉᙁנհᇷறΔྥ৵ܓشቃྒྷֱؓᎄ
(Predicted Square Error, PSE)
ऄঞ۞೯ขس່ࠋጻሁዌ
[17]ΔPSE ऄঞհഗءਢᕣױ౨ᙇᖗ壄ᒔۖլᓤᠧհ ጻሁΖPSE ץܶࠟଡႈؾΔܛ
KP FSE
PSE= + (1)
ڇڼΔFSE ਢٽΰfitαಝᒭᇷறհጻሁऱֱؓ݁ؓ
ᎄΔKP ጻሁհᓤᠧᡕፆଖ (complex penalty)Δאֱ࿓
ڤ।قګ
N CPM K
KP p
2σ 2
×
= (2)
ڇ ڼ Δ CPM ᓤ ᠧ ᡕ ፆ ڂ (complex penalty
multiplier)
ΔK ጻሁխհএᑇᑇؾΔN ಝᒭᇷறհᑇ
ؾΔ
σp2ᑓڤڇছԫଡቃྒྷհᎄ᧢ฆᑇΖ
ࠉᖕֱ࿓ڤΰ1αΔFSE հଖყ՛ழ fitting հ壄ᒔ৫ᄎ ყΖຏൄΔყᓤᠧհጻሁΔᚨᕣױ౨྇՛࣍ FSE հଖΔ ངᇩᎅΔᕣױ౨ᏺՕ KP հଖΖڂڼΔڇጻሁٽګࡉ
ေ۷መ࿓խΔ່ࠋ Abductive ጻሁਢࠠڶ່՛ऱ PSE ଖհ ጻሁΖԱࠌጻሁࠠڶለࠋհ壄ᒔ৫ΔڇՀ٨հጻሁٽګ խΔח CPM հଖ 0.01Ζ
ɿȮ૪㊹⎞ Abductive ℐ⭰ᐉ
ءઔߒਢאᑓࠠᙓ (SKD61) ՠٙޗறΔࠀא࠰ᔲ ֆءઔߒܑسขऱຒףՠشԸࠠ (ٵԫऴஉႽᏗ Ը) լٵऱԸࠠ༓۶ݮणΔኙՠٙຒᎵচףՠΔྥ৵ ܓشضՑڤऴٌ।ኔ᧭ૠࡉอૠ։ֱ࣫ऄΔאᛧױ ᔾऱኔ᧭ᑌءរΔࠀ֊চࢤ౨։࣫Ζ
⠧ɺ ➦ᅩ⤑Ȯᘍ⤑Ȯㇷめ⤑
ᑇ
ߡ৫ ᝅඝߡ ऄٻߡ 塒Ꮌߡ
՛ 20ш 5ш 7ш խ 30ш 6ш 8ш
Օ 40ш 7ш 9ш
ߧ 2 ӝңಂ̬ഐᨊ
1.
㋧Ⳍӡԇ૪㊹
ݺଚࢬࠌشٰᖻ B8 ীຒጵٽףՠխ֨ᖲΰ22000
rpmΔ22hpαຒኔ᧭ΔۖࢬࠌشऱၦྒྷᏚᕴ Olympus ΰSTM-BDZαՠࠠ᧩პᢴΔ।૿ษ৫ᔚኢݮणྒྷࡳᕴ ΰSurfcorder SEF-3500αΔԸࠠ೯ؓᘝᖲΰHaimer TD-99αΖ
ءઔߒਢಾኙԫጟᑓࠠᙓၞ۩ԫߓ٨ઌٵ֊চය
ٙऱլٵԸࠠ༓۶ݮणհຒףՠኔ᧭Δۖᖞଡ֊চኔ᧭
ൣݮقრڕቹ 1Ζڇኔ᧭ຝٝΔᙇᖗऱᇢ᧭᧢ᑇڶೡՍፖ ጤՍऱ塒Ꮌߡ (clearance angle)Εऄٻߡ (rake angle) ֗ᝅ ඝߡ (helical angle)Δޢԫ᧢ᑇঞՂەࠡԫᄐൄش հԸࠠߡ৫Δ࠷ࠡՂՀૻհ᧢֏ᒤփאՕΕխΕ՛Կၸ
᧢ၦၞ۩ኔ᧭ቤΔኔ᧭ቤհֽᄷᑇڕ।ԫΔԸࠠ༓۶ ݮणقრڕቹ 2 ֗ቹ 3Δࠀჸࡳऱ֊চයٙၞ۩ޢԫ
ႈ֊চᇢ᧭Δၦྒྷףՠ૿ऱ।૿ษᜋ৫ፖԸᆮᗣၦΖԸ ᆮᗣਢᐙԸࠠ֊চࢤ౨ڕ।૿ษᜋ৫Ε֊চ౨Ժ…
հڂైΔՈਢܒឰԸࠠኂࡎհૹਐᑑΔۖԸᆮᗣ
ၦਢ࠷ڕቹ 4 ࢬق AΕBΕCΕDΕEΕFΕGΕH Զរऱ
ؓ݁ଖΖڇࠌ
φ8 mmጤᎵԸΔ4 ՍႽᏗԸΰ0.5 Rαၗ᠏
ຒሒ 20000 rpmΔ֊চ৫ 1 mmΔၞຒ৫ 0.1 mm/ՍΔ ೡٻ֊চ৫ 0.5 mmΔԸࠠ overhang 20 mm ၞ۩ຒ
֊চףՠኔ᧭Δၦྒྷ।૿ษᜋ৫ழࡳଖΔcutoff ݺଚ
ࡳ 0.8Δspeed ၦྒྷຒ৫ࡳ 0.05Δlength ၦྒྷ९৫ࡳ
cutoff × 5Ζၞ۩Ըࠠ೯ؓᘝீإΔၗ᠏ຒ 20000 ᠏ G ଖݺଚࡳ 2.5ΔࠀᙇᖗԸஆԫؓ૿ࠐၦྒྷ೯ؓᘝΔࠌ شհԸஆ HSK 63a ীΖᖕኔ᧭ቤݙຒ֊চףՠ ኔ᧭Δࠩऱኔ᧭࣠ᑇᖕڕ।ԲࢬقΖݺଚ࿇ڇቤ ኔ᧭ऱԸࠠ༓۶ݮणኙຒ֊চףՠ৵ऱ।૿ษᜋ৫ᐙ
լՕΔၦֽؓၞֱٻऱษᜋ৫ଖ Ra પڇ 0.10 µmΔি
ऴၞֱٻ।૿ษᜋ৫ଖ Ra પڇ 0.15 µmΖ
High frequencymain spindle SET CA
CNC controller
Feed directione Tool
Zig tool path
Workpiece
Table
ၗٻ塒Ꮌߡ
ၗٻᠦᎼߡ
ၗٻ֊চߡ
உٻ֊চߡ உٻ塒Ꮌߡ
உٻᠦᎼߡ
F B
C G
D H A E E
flank werar
Normalizer First layer
Input RA Input CA Input HA Input CA Input RA
Double 1 Triple 1 Double 2 U Output CT Second
layer
Third layer Unitizer
RA:Rake angle CA:Clearance angle HA:Helical angle CT:Cutting time y01
y02 y03
y02
y01
y21 y11 y31
ߧ 3 ӝңಂ̬ഐᨊ
ߧ 4 Ὁ⺊ӝӝ⌸ḇ≩⸇⸇ᛵ㔄
ߧ 5 ㅷᛵӝңಂ̬⤑ಙଃᅠӝңḇ≩ʠ Abductive ℐ⭰⳥ᾰᑁೣ
2. Abductive
ℐ⭰ᐉ
ല।ԫऱኔ᧭ᑇᖕ܂ Abductive ሁऱಝᒭᇷறΔח
CPM 0.01Δۖڇጻሁٽګࡉေ۷መ࿓խ່ࠋ Abductive ጻሁਢࠠڶ່՛ऱ PSE ଖհጻሁΔঞေ۷ٺጟԸࠠ༓۶ݮ णၞ۩ຒ֊চ SKD61 ᑓࠠᙓழऱԸࠠᗣቃྒྷᑓڤऱ
Abductive
ጻሁ۞೯ٽګΔڕቹ 5 ࢬقΖ່ࠡึᙁנ࣠ܛ
Ըࠠᗣቃྒྷᑓڤհ Abductive ጻሁڍႈڤΔٺᆏរհ
ֱ࿓ڤڕॵᙕΖ
ٵழലኔ᧭ᇷற։ܑאլٵऱԸࠠߡ৫ፖԸࠠኂࡎ
(֊চழၴ) հᣂএΔ։ܑאլٵհԸࠠߡ৫ᖩၗΔԸࠠ
ᗣ᜕ၗΔڇլٵ֊চයٙՀհᣂএቹᢄ፹ګΔא
ၞԫޡհ։࣫ፖܒឰΖ
߈Ȯኞ⎞⤽⧄
ءઔߒආشኔ᧭ૠऄհ٤ڂֱڤኔ᧭ቤࡉอ ૠ։ֱ࣫ऄΔאᛧױᔾऱኔ᧭ᑌءរΔࠀ֊চࢤ౨։
࣫Ζ৬ዌԫݙᖞຒԸࠠऱ༓۶ᑇኙ֊চࢤ౨ᐙհ
։࣫ᑓڤΔױ༼ࠎഏփԸࠠ፹ທڇၲ࿇ૠՂઌᅝૹ
ऱݾ Know-HowΔۖ፹ທנࢤ౨ऱഏขຒ֊চشऱ ԸࠠΖݺଚਢ։࣫Ըࠠ༓۶ݮणխऱ塒ᎼߡΕऄٻߡΕ ᝅඝߡߡ৫հ᧢֏ኙຒףՠழհ֊চࢤ౨ऱᐙΔ
ᖕ।Բऱኔ᧭࣠ᑇᖕូᖞڕቹ 6Εቹ 7Εቹ 8Ζ طቹ 6 հቹীႨࢬقΔڇຒ֊চᑓࠠᙓ SKD61 ޗறழΔጙ֏Ըࠠ TiA1N ᝳᐋΔᝅඝߡڇ 30шፖ 40ш հၴڶለړऱ֊চࢤ౨ΔܛለࠋऱԸࠠኂࡎΖٵᑌطቹ 7 ࢬ։قױवΔڇٵԫଡຒ֊চයٙᛩቼՀΔ֊চᑓࠠᙓ
SKD61
ޗறழΔጙ֏ᝳ TiA1N ጤᎵԸΔ塒Ꮌ՛ΰ
70α
ڶለړऱ֊চࢤ౨Ζۖطቹ 8 հቹীࢬقঞܫقݺଚΔڇ ٵԫଡຒ֊চයٙᛩቼՀΔ֊চᑓࠠᙓ SKD61 ޗறழΔ ጙ֏ᝳ TiA1N ጤᎵԸΔऄٻߡՕΰ
70αڶለࠋऱ֊চࢤ ౨Ζ
᧭ᢞٺጟԸࠠ༓۶ݮणၞ۩ຒ֊চ SKD61 ᑓࠠ
ᙓழऱԸࠠᗣፖ Abductive ጻሁቃྒྷᑓڤऱᄷᒔࢤΔݺ ଚലኔ᧭ᇷறፖቃྒྷ࣠ᢄ፹ڇቹ 9 ፖቹ 10Δᒵය।قቃ ۷࣠ۖរಖᇆ (ᑑق) ।قኔ᧭ଖΔطቹխױवኔ᧭
ଖፖቃྒྷଖࠟထઌᅝ൷२Ζ
ڂ ڼ ᖕ ऱ ኔ ᧭ ࣠ ಝ ᒭ ऱ ᑌ ء រ Δ ຘ መ
Abductive
ጻሁऱᖂመ࿓Δܛױ߰ຒ৬ዌנေ۷Ըࠠ༓۶
ݮणᑇፖԸࠠᗣऱᑇᖂᣂএᑓڤΖࠌشृᙁԵ塒 ᎼߡΕऄٻߡΕᝅඝߡፖԸࠠኂࡎ (֊চழၴ) հྒྷᇢᇷ ற۟ቹ 5 ऱጻሁᑓڤխΔঁױمܛေ۷נԸࠠऱԸᆮؓ݁
ᗣၦΖࢬאڼᑓڤঁױ༼ࠎഏփԸࠠ፹ທڇၲ࿇ૠ Ղઌᅝૹऱݾ Know-HowΖʳ
ʽȮ ⧄
ൕኔ᧭࣠ូ։࣫वڇຒ֊চףՠ SKD61 ᑓ
ࠠᙓழΔጙ֏ᝳ TiA1N ऱጤᎵԸࠡᝅඝߡڇ 30ш۟ 40шΕ 塒Ꮌߡ 7шΕऄٻߡ 7шڶለࠋऱ֊চࢤ౨Ζݺଚലኔ᧭
࣠৬ዌګऱԸࠠᗣቃྒྷᑓڤΔ១ᙁԵ塒ᎼߡΕऄ ٻߡΕᝅඝߡፖԸࠠኂࡎ (֊চழၴ) ঁױمܛࠩԸᆮ ᗣΔױ༼ࠎഏփԸࠠ፹ທڇၲ࿇ૠՂઌᅝૹऱ
ەᇷಛΖ
⦒ ⨀
ء֮܂ृტഏઝᄎ NSC92-2516-S-150-002-ૠቤ֭
ΔࠌءઔߒூאႉܓݙګΔء֮܂ृࠀტ᎓⺎Ε
ܦࡲᙤٵᖂڇຒ֊চኔ᧭Ղऱ࠰ܗΖ
⠧ʷ ૪㊹⣳Ԭ᱿ӝңಂ̬ഐᨊʠ㋧ⳌӡԇԽడ૪㊹ኞ
Cutting time ΰminα Cutting time ΰminα
Test number
Helical angle
Rake angle
Clearance angle
Flank wear ΰmm)
Test number
Helical angle
Rake angle
Clearance angle
Flank wear ΰmm 0 9.3 18.51 27.72 36.93 0 9.23 18.56 27.52 1 40 7 9
0 0.0894 0.1268 0.1705 0.2332
15 30 5 8
0 0.11 0.15 0.1945 0 9.33 18.68 27.91 0 9.25 18.48 27.7 2 40 6 9
0 0.1252 0.152 0.2128
16 20 7 8
0 0.095 0.163 0.2235
0 9.33 18.7 28.03 0 9..3 18.6
3 40 5 9
0 0.1063 0.157 0.245
17 20 6 8
0 0.132 0.212
0 9.2 0 9..3 18.63
4 30 7 9 0 ഽԸ
18 20 5 8
0 0.1279 0.1923
0 9.2 18.42 27.65 0 9..23 18.46
5 30 6 9
0 0.1006 0.1526 0.2212
19 40 7 7
0 0.1497 ഽԸ
0 9.56 19.08 28.52 0 9..3 18.65 27.95 6 30 5 9
0 0.1026 0.1677 0.2104
20 40 6 7
0 0.0866 0.1371 0.1971 0 9.25 18.45 27.65 0 9.3 18.63 27.96 7 20 7 9
0 0.11 0.14 0.214
21 40 5 7
0 0.1133 0.1583 0.206 0 9.38 18.72 27.93 0 9.16 18.5 27.73 8 20 6 9
0 0.104 0.174 0.243
22 30 7 7
0 0.135 0.1804 0.23
0 9.3 18.63 0 9.21 18.45 27.75
9 20 5 9
0 0.1055 0.195
23 30 6 7
0 0.102 0.1685 0.222
0 9.21 18.46 27.64 0 9.3 18.6 27.93
10 40 7 8
0 0.0776 0.1312 0.1838
24 30 5 7
0 0.087 0.131 0.2508
0 9.26 18.56 27.86 0 9.35 18.65
11 40 6 8
0 0.1106 0.1692 0.247
25 20 7 7
0 0.126 0.202
0 9.3 18.63 27.96 0 9.5 18.73
12 40 5 8
0 0.102 0.168 0.253
26 20 6 7
0 0.11 0.172
0 9.23 18.39 27.64 0 9.33 18.63
13 30 7 8
0 0.091 0.1403 0.218
27 20 5 7
0 0.128 0.2 0 9.23 18.56 27.82
14 30 6 8
0 .0132 0.17 0.2375
0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 9ĄǴRake 5ĄǴHelical 40Ą Clearance 9ĄǴRake 5ĄǴHelical 30Ą Clearance 9ĄǴRake 5ĄǴHelical 20Ą
0.00 10.00 20.00 30.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 9ĄǴRake 6ĄǴHelical 20Ą Clearance 9ĄǴRake 6ĄǴHelical 40Ą Clearance 9ĄǴRake 6 ĄǴHelical 30
0.00 10.00 20.00 30.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 8ĄǴRake 5ĄǴHelical 40Ą Clearance 8ĄǴRake 5ĄǴHelical 30Ą Clearance 8ĄǴRake 5ĄǴHelical 20Ą
0.00 10.00 20.00 30.00
0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 8ĄǴRake 7ĄǴHelical 40Ą Clearance 8ĄǴRake 7ĄǴHelical 30Ą Clearance 8ĄǴRake 7ĄǴHelical 20Ą
0.00 10.00 20.00 30.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 7ĄǴRake 5ĄǴHelical 40Ą Clearance 7ĄǴRake 5ĄǴHelical 30Ą Clearance 7ĄǴRake 5ĄǴHelical 20Ą
0.00 10.00 20.00 30.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 7ĄǴRake 6ĄǴHelical 40Ą Clearance 7ĄǴRake 6ĄǴHelical 30Ą Clearance 7ĄǴRake 6ĄǴHelical 20Ą
0.00 10.00 20.00 30.00 Cutting time (min)
Cutting time (min)
Cutting time (min)
Cutting time (min) Cutting time (min)
Cutting time (min)
0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 9ĄǴRake 6ĄǴHelical 40Ą Clearance 8ĄǴRake 6ĄǴHelical 40Ą Clearance 7ĄǴRake 6ĄǴHelical 40Ą
0.00 10.00 20.00 30.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 9ĄǴRake 5ĄǴHelical 40Ą Clearance 8ĄǴRake 5ĄǴHelical 40Ą Clearance 7ĄǴRake 5ĄǴHelical 40Ą
0.00 10.00 20.00 30.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 9ĄǴRake 5ĄǴHelical 40Ą Clearance 8ĄǴRake 5ĄǴHelical 40Ą Clearance 7ĄǴRake 5ĄǴHelical 40Ą
0.00 10.00 20.00 30.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 9ĄǴRake 6ĄǴHelical 30Ą Clearance 8ĄǴRake 6ĄǴHelical 30Ą Clearance 7ĄǴRake 6ĄǴHelical 30Ą
0.00 10.00 20.00 30.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 9ĄǴRake 7ĄǴHelical 40Ą Clearance 8ĄǴRake 7ĄǴHelical 40Ą
0.00 10.00 20.00 30.00 40.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 7ĄǴRake 7ĄǴHelical 30Ą Clearance 8ĄǴRake 7ĄǴHelical 30Ą
0.00 10.00 20.00 30.00
Cutting time (min)
Cutting time (min) Cutting time (min)
Cutting time (min) Cutting time (min)
Cutting time (min)
ߧ 6 ʃ➦ᅩ⤑ଃӝңḇ≩ʠഛㅨ
ߧ 7 ʃㇷめ⤑ଃӝңḇ≩ʠഛㅨ
Flank wear (mm)
Clearance 9ĄǴRake 6ĄǴHelical 30Ą Clearance 9ĄǴRake 5ĄǴHelical 30Ą
0.50
0.40
0.30
0.20
0.10
0.00
Clearance 8ĄǴRake 7ĄǴHelical 40Ąʳ Clearance 8ĄǴRake 6ĄǴHelical 40Ąʳ Clearance 8ĄǴRake 5ĄǴHelical 40Ą
0.00 10.00 20.00 30.00
Flank wear (mm)
0.00 10.00 20.00 30.00 0.50
0.40
0.30
0.20
0.10
0.00
0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 7ĄǴRake 7ĄǴHelical 30Ą Clearance 7ĄǴRake 6ĄǴHelical 30Ą Clearance 7ĄǴRake 5ĄǴHelical 30Ą
0.00 10.00 20.00 30.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 7ĄǴRake 6ĄǴHelical 40Ąʳ Clearance 7ĄǴRake 5ĄǴHelical 40Ą
0.00 10.00 20.00 30.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 9ĄǴRake 7ĄǴHelical 40Ą Clearance 9ĄǴRake 6ĄǴHelical 40Ą Clearance 9ĄǴRake 5ĄǴHelical 40Ą
0.00 10.00 20.00 30.00 40.00 0.50
0.40
0.30
0.20
0.10
0.00
Flank wear (mm)
Clearance 8ĄǴRake 7ĄǴHelical 30Ą Clearance 8ĄǴRake 6ĄǴHelical 30Ą Clearance 8ĄǴRake 5ĄǴHelical 30Ą
0.00 10.00 20.00 30.00 Cutting time (min)
Cutting time (min) Cutting time (min)
Cutting time (min) Cutting time (min)
Cutting time (min)
Clearance 7 Rake 7Ą(measured)ʳ Rake 6Ą(measured)ʳ Rake 5Ą(measured)ʳ Rake 7Ą(predicted)ʳ Rake 6Ą(predicted)ʳ Rake 5Ą(predicted)
Cutting time (min)
20.00 30.00 40.00 36.00
32.00
28.00
24.00
20.00
16.00
Helical angle (ۯ : ৫)
Clearance 8 Rake 7Ą(measured)ʳ Rake 6Ą(measured)ʳ Rake 5Ą(measured)ʳ Rake 7Ą(predicted)ʳ Rake 6Ą(predicted)ʳ Rake 5Ą(predicted)
Cutting time (min)
20.00 30.00 40.00 36.00
32.00
28.00
24.00
20.00
16.00
Helical angle (ۯ : ৫)
Clearance 9 Rake 7Ą(measured)ʳ Rake 6Ą(measured)ʳ Rake 5Ą(measured)ʳ Rake 7Ą(predicted)ʳ Rake 6Ą(predicted)ʳ Rake 5Ą(predicted)
Cutting time (min)
20.00 30.00 40.00 36.00
32.00
28.00
24.00
20.00
Helical angle (ۯ : ৫)
ߧ 8 ʃᘍ⤑ଃӝңḇ≩ʠഛㅨ
ߧ 9 ӠӲߗહ߱ʃ᱿ㇷめ⤑ʠʁ⩐ջᘍ⤑⎞➦ᅩ⤑Ŋ Abductive ℐ⭰ㅷᛵᑁೣُ૪㊹ϊҢӝңउلʠᕗⰱ
ߧ 10 ӠӲߗહ߱ʃ᱿ᘍ⤑ʠʁʠʁ⩐ջ➦ᅩ⤑⎞➦ᅩ⤑ŊAbductive ℐ⭰ㅷᛵᑁೣُ૪㊹ϊҢӝңउلʠᕗⰱ
Rake 5 Clearance 9Ą(measured)ʳ Clearance 8Ą(measured)ʳ Clearance 7Ą(measured)ʳ Clearance 9Ą(predicted)ʳ Clearance 8Ą(predicted)ʳ Clearance 7Ą(predicted)
Cutting time (min)
20.00 30.00 40.00 36.00
32.00
28.00
24.00
20.00
16.00
Helical angle (ۯ : ৫)
Rake 6 Clearance 9Ą(measured)ʳ Clearance 8Ą(measured)ʳ Clearance 7Ą(measured)ʳ Clearance 9Ą(predicted)ʳ Clearance 8Ą(predicted)ʳ Clearance 7Ą(predicted)
Cutting time (min)
20.00 30.00 40.00 36.00
32.00
28.00
24.00
20.00
16.00
Helical angle (ۯ : ৫)
Rake 7 Clearance 9Ą(measured)ʳ Clearance 8Ą(measured)ʳ Clearance 7Ą(measured)ʳ Clearance 9Ą(predicted)ʳ Clearance 8Ą(predicted)ʳ Clearance 7Ą(predicted)
Cutting time (min)
20.00 30.00 40.00 36.00
32.00
28.00
24.00
20.00
Helical angle (ۯ : ৫)
א≙ᄽ᪇
1. Schulz, H., “High-speed Machining,” CIRP Annals – Manufacturing Technology, Vol. 41, pp. 637-643 (1992).
2. Schulz, H., and Hock, St., “High-speed Milling of Dies and Moulds – Cutting Conditions and Technology,” CIRP Annals – Manufacturing Technology, Vol. 44, pp. 35-38 (1995).
3. Thusty, J., “High-speed Machining,” CIRP Annals – Manufacturing Technology, Vol. 42, pp. 733-738 (1993).
4.
▼ൠໞŊኚᆙ⏦ُづહબŊȵሱञቨᅆẼぜ᪓ᣅᲿᐻʠ ᑁң⸉㋧Ⳍ⺊ԇאᄲⶪ⇦ȶŊὮ 17 ଢᑨፋడỄᶇ⤽
ሳŊञ┤ञણŊὮ 419-423 ㅪ (2000).
5. Fuh-Chyun Tang, and Chih-Chieh Lin, “High-speed Machining of Hardened SKD61 Tool Steel Using TiALN Coated Cemented Tungsten Carbide Tooling,”
Ὦ֓ɼଢ ᑨፋడỄᶇ⤽ሳŊञ┤ञણŊὮ 759-766 ㅪ (2000).
6.
ಽ;゛Ŋȵ⺭⸉㋧Ⳍӡԇଃ⠧ㄇಙഛㅨʠᶇἄȶŊ
ᷟं⧄ᄽŊʑᔌञણŊ݄∑ (1996).
7.
ኚᙜ⎄Ŋȵ㋧ⳌὉ⺊ԇ Ti-6Al-4V ⹃⸉ȶŊᷟं⧄ᄽŊ שᢕञણŊשռ (1998).
8.
ⱇŊ⥓ᅺᏳŊᄑሷቢُづҴᄽŊȵʏ⊓ೣᑨፋడң ᑨʠᱹଭȶŊᑨፋడᏈグ⦒Ŋ3 ሶᦹŊpp.104-166 (2000).
9.
㓳㐓ЂŊȵ㋧ⳌԽడʠᱹଭ⎞⬹՛ȶŊᑨፋడᏈグ⦒Ŋ
3ሶᦹŊpp.209-212 (2000).
10. Paro, J., Nieminen, I., Kauppinen, V.,” High-speed Machining in Tooling Production,” Journal of Materials process Technology, Vol. 52, pp. 27-34 (1995).
11. Shatla, M., Altan, T., “Analytical Modeling of Drilling and Ball End Milling,” Journal of Materials process Technology, Vol. 98, pp. 125-133 (2000).
12. Engin, S., Altintas, Y., “Mechanics and Dynamics of General Milling Cutters. Part I: Helical End Mills,”
International Journal of Machine Tools and Manufacture, Vol. 41, pp. 2195-2212 (2001).
13. Tugrul Ozel, Taylan Altan, “Process Simulation using Finite Element method-Prediction of Cutting Forces, Tool Stresses and Temperatures in High-Speed Flat End Milling,” International Journal of Machine Tools and Manufacture, Vol. 40, pp. 713-738 (2000).
14. Shiuh-Tarng Chiang, Chung-Min Tasi, An-Chen Lee,
“Analysis of Cutting Forces in Ball-End Milling,” Journal of Materials process Technology, Vol. 47, pp. 231-249 (1995).
15. Juan, D. J., Yu, S. F., and Lee, B. Y., “The Optimal Cutting-parameter Selection of Production Cost in High Speed Machining for SKD61 Tool Steels,” International Journal of Machine Tools and Manufacture, Vol. 43, pp. 679-686. (2003).
16. Peirce, C., Abduction and induction, Philosophical Writing of Peirce, ed. by Buckler, Dover, NY, USA (1955).
17. Barron, A. R., Predicated Square error: a criterion for automatic model selection, in self-Organizing Methods in Modeling: GMDH Type Algorithms, Farlow, S. J., Ed.
Marcel-Dekker, NY, USA (1984).
え ⻞
Appendix ( i ) normalizer : 1.y01=−7.21+1.2Ra 2.y02=−9.61+1.2Ca 3.y03
= −
3.07+
0.107Ha( ii ) double node :
1.
02 01 2
02
2 01 02
01 21
401 . 0 105 . 0
164 . 0 48 . 0 377 . 0 259 . 0
y y y
y y
y y
+ +
+ +
+
−
=
2.y31=1.07y11−0.127y01
(iii) triple node:
1.
3 03 3
21 02 03 21 02 03 02
21
03 21 2
03 2
21 03 21 11
241 . 0 47 . 4 314
. 0 248 . 0 39 . 2
394 . 0 163 . 0 09 . 3 03 . 1 16 . 2 333 . 0
y y
y y y y y y
y
y y y
y y y y
−
−
−
− +
+
− +
+ +
−
=
(iv) unitizer : 1.CT =24+3.68y31
2006