JP2012510030A - 低軸角を有するハイポイド歯車 - Google Patents
低軸角を有するハイポイド歯車 Download PDFInfo
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- JP2012510030A JP2012510030A JP2011537698A JP2011537698A JP2012510030A JP 2012510030 A JP2012510030 A JP 2012510030A JP 2011537698 A JP2011537698 A JP 2011537698A JP 2011537698 A JP2011537698 A JP 2011537698A JP 2012510030 A JP2012510030 A JP 2012510030A
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- bevel gears
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- 238000000034 method Methods 0.000 abstract description 29
- 238000004519 manufacturing process Methods 0.000 abstract description 10
- 230000033001 locomotion Effects 0.000 description 21
- 230000008569 process Effects 0.000 description 14
- 230000008859 change Effects 0.000 description 7
- 238000005520 cutting process Methods 0.000 description 6
- 239000013598 vector Substances 0.000 description 5
- 238000000227 grinding Methods 0.000 description 4
- 230000013011 mating Effects 0.000 description 3
- 230000005540 biological transmission Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 230000007246 mechanism Effects 0.000 description 2
- 238000003801 milling Methods 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 230000009466 transformation Effects 0.000 description 2
- 238000000844 transformation Methods 0.000 description 2
- 101100008044 Caenorhabditis elegans cut-1 gene Proteins 0.000 description 1
- 101100008046 Caenorhabditis elegans cut-2 gene Proteins 0.000 description 1
- 238000005452 bending Methods 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
- 230000000295 complement effect Effects 0.000 description 1
- 230000021615 conjugation Effects 0.000 description 1
- 230000003247 decreasing effect Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000012804 iterative process Methods 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 238000012067 mathematical method Methods 0.000 description 1
- 239000011159 matrix material Substances 0.000 description 1
- 230000005226 mechanical processes and functions Effects 0.000 description 1
- 238000005457 optimization Methods 0.000 description 1
- 238000005096 rolling process Methods 0.000 description 1
Classifications
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H1/00—Toothed gearings for conveying rotary motion
- F16H1/02—Toothed gearings for conveying rotary motion without gears having orbital motion
- F16H1/04—Toothed gearings for conveying rotary motion without gears having orbital motion involving only two intermeshing members
- F16H1/12—Toothed gearings for conveying rotary motion without gears having orbital motion involving only two intermeshing members with non-parallel axes
- F16H1/14—Toothed gearings for conveying rotary motion without gears having orbital motion involving only two intermeshing members with non-parallel axes comprising conical gears only
- F16H1/145—Toothed gearings for conveying rotary motion without gears having orbital motion involving only two intermeshing members with non-parallel axes comprising conical gears only with offset axes, e.g. hypoïd gearings
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23F—MAKING GEARS OR TOOTHED RACKS
- B23F1/00—Making gear teeth by tools of which the profile matches the profile of the required surface
- B23F1/02—Making gear teeth by tools of which the profile matches the profile of the required surface by grinding
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23F—MAKING GEARS OR TOOTHED RACKS
- B23F17/00—Special methods or machines for making gear teeth, not covered by the preceding groups
- B23F17/001—Special methods or machines for making gear teeth, not covered by the preceding groups for making gear pairs
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23F—MAKING GEARS OR TOOTHED RACKS
- B23F5/00—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made
- B23F5/02—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made by grinding
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23F—MAKING GEARS OR TOOTHED RACKS
- B23F5/00—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made
- B23F5/20—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made by milling
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23F—MAKING GEARS OR TOOTHED RACKS
- B23F5/00—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made
- B23F5/20—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made by milling
- B23F5/24—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made by milling the tool being a hob for making bevel gears
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H55/00—Elements with teeth or friction surfaces for conveying motion; Worms, pulleys or sheaves for gearing mechanisms
- F16H55/02—Toothed members; Worms
- F16H55/08—Profiling
- F16H55/0853—Skewed-shaft arrangement of the toothed members
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
- B29B—PREPARATION OR PRETREATMENT OF THE MATERIAL TO BE SHAPED; MAKING GRANULES OR PREFORMS; RECOVERY OF PLASTICS OR OTHER CONSTITUENTS OF WASTE MATERIAL CONTAINING PLASTICS
- B29B7/00—Mixing; Kneading
- B29B7/30—Mixing; Kneading continuous, with mechanical mixing or kneading devices
- B29B7/34—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices
- B29B7/38—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices rotary
- B29B7/46—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices rotary with more than one shaft
- B29B7/48—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices rotary with more than one shaft with intermeshing devices, e.g. screws
- B29B7/484—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices rotary with more than one shaft with intermeshing devices, e.g. screws with two shafts provided with screws, e.g. one screw being shorter than the other
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
- B29B—PREPARATION OR PRETREATMENT OF THE MATERIAL TO BE SHAPED; MAKING GRANULES OR PREFORMS; RECOVERY OF PLASTICS OR OTHER CONSTITUENTS OF WASTE MATERIAL CONTAINING PLASTICS
- B29B7/00—Mixing; Kneading
- B29B7/30—Mixing; Kneading continuous, with mechanical mixing or kneading devices
- B29B7/34—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices
- B29B7/38—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices rotary
- B29B7/46—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices rotary with more than one shaft
- B29B7/48—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices rotary with more than one shaft with intermeshing devices, e.g. screws
- B29B7/488—Parts, e.g. casings, sealings; Accessories, e.g. flow controlling or throttling devices
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
- B29B—PREPARATION OR PRETREATMENT OF THE MATERIAL TO BE SHAPED; MAKING GRANULES OR PREFORMS; RECOVERY OF PLASTICS OR OTHER CONSTITUENTS OF WASTE MATERIAL CONTAINING PLASTICS
- B29B7/00—Mixing; Kneading
- B29B7/30—Mixing; Kneading continuous, with mechanical mixing or kneading devices
- B29B7/34—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices
- B29B7/38—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices rotary
- B29B7/46—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices rotary with more than one shaft
- B29B7/48—Mixing; Kneading continuous, with mechanical mixing or kneading devices with movable mixing or kneading devices rotary with more than one shaft with intermeshing devices, e.g. screws
- B29B7/488—Parts, e.g. casings, sealings; Accessories, e.g. flow controlling or throttling devices
- B29B7/489—Screws
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
- Y10T74/00—Machine element or mechanism
- Y10T74/19—Gearing
- Y10T74/19642—Directly cooperating gears
- Y10T74/19647—Parallel axes or shafts
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
- Y10T74/00—Machine element or mechanism
- Y10T74/19—Gearing
- Y10T74/19642—Directly cooperating gears
- Y10T74/1966—Intersecting axes
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
- Y10T74/00—Machine element or mechanism
- Y10T74/19—Gearing
- Y10T74/19642—Directly cooperating gears
- Y10T74/1966—Intersecting axes
- Y10T74/19665—Bevel gear type
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
- Y10T74/00—Machine element or mechanism
- Y10T74/19—Gearing
- Y10T74/19642—Directly cooperating gears
- Y10T74/19688—Bevel
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
- Y10T74/00—Machine element or mechanism
- Y10T74/19—Gearing
- Y10T74/19949—Teeth
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y10—TECHNICAL SUBJECTS COVERED BY FORMER USPC
- Y10T—TECHNICAL SUBJECTS COVERED BY FORMER US CLASSIFICATION
- Y10T74/00—Machine element or mechanism
- Y10T74/19—Gearing
- Y10T74/19949—Teeth
- Y10T74/19958—Bevel
Landscapes
- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- General Engineering & Computer Science (AREA)
- Gears, Cams (AREA)
- Gear Transmission (AREA)
Abstract
Description
A=(DOMR2*Z2+DOMR2*Z1)/2(1)
λ=asin(TTX/A)(2)
A*=A+ΔDm/2=(DOMR2*Z2+DOMR2*Z1+ΔDM)/2
(3)
λ*=asin(TTX/A*)(4)
式中、A=円錐歯車の中心歯幅で算出された中心距離、
λ=オフセット角度、
λ*=ピニオン直径が増大する場合のオフセット角度、
TTX=ハイポイド・オフセット、
A*=ピニオン直径が増大する場合の中心距離、
ΔDM=ピニオン直径の増大、
DOMR2=歯車の面モジュール、
Z1=ピニオン歯数、
Z2=歯車歯数である。
Δs=A*(1−cosλ) (5)
或いはピニオン直径が増大する場合、
Δs*=A**(1−cosλ*) (6)
式中、Δs=ピニオン軸の歯車軸に向かう水平移動、
Δs*=ピニオン直径が増大する場合のピニオン軸の水平移動である。
sinγ歯車−スパイラル/sinγピニオン−スパイラル=Z2/Z1 (7)
式中、γピニオン−スパイラル=オフセットの導入前のスパイラル・ベベルピニオンのピッチ角、
γ歯車−スパイラル=オフセットの導入前のスパイラル・ベベル歯車のピッチ角である。
γ歯車−ハイポイド=γ歯車−スパイラル*COS(λ) (8)
又は
γ歯車−ハイポイド=γ歯車−スパイラル*COS(λ*) (9)
式中、γ歯車−ハイポイド=ハイポイド歯車部材のピッチ角である。
ステップC−ハイポイド対の歯車の変更されたピッチ角は、図4に示すように、ピッチ頂点の場所をシフトさせる(一方で歯幅の中心にあるピッチ点P及び座標原点R2−Z歯車は変更されないままである):
ZTKR2**=ΔDM/(2sin(AWI))+RPO/tanγ歯車−スパイラル−RPO/tanγ歯車−ハイポイド(11)
式中、RPO=歯車ピッチ半径である。
ZTKR2***=ΔDM/(2sin(AWI))+RPO/tanγ歯車−スパイラル−RPO/tanγ歯車−ハイポイド−ΔS/sin(AWl)(12)
Δα=−360°/(2*Z2) (13)
式中、Δα=創成されない歯車部材によるピニオン圧力角の変更、
Z2=歯車歯数である。
ΔαF=−360°/(2*Z2) (14)
ΔαN=arctan{tan[arctan(tanαN/cosβ−360°/2*Z2]*cosβ} (15)
として算出される。
式中、ΔαF=面セクション内の圧力角の変更、
ΔαN=法線セクション内の圧力角の変更、
β=歯車の中心歯幅におけるスパイラル角度である。
Claims (13)
- 第1のベベル歯車部材及び第2のベベル歯車部材を備えるベベル歯車の対であって、
前記第1部材と第2の部材の間の軸角がゼロ°より大きく30°までの範囲にあり、
前記第1の部材と第2の部材の間のハイポイド・オフセットが、ゼロより大きく前記第1の部材及び第2の部材の平均ピッチ直径の半分の合計までの範囲にある、ベベル歯車の対。 - 前記軸角が、ゼロ°より大きく20°までの範囲にある、請求項1に記載のベベル歯車の対。
- 前記第1の部材及び第2の部材の歯数が同じである、請求項1に記載のベベル歯車の対。
- 前記第1の部材及び第2の部材の少なくとも1つが、創成される部材である、請求項1に記載のベベル歯車の対。
- 前記第1の部材及び第2の部材の少なくとも1つが、インボリュートの形態の歯輪郭形状を含む、請求項1に記載のベベル歯車の対。
- 前記第1の部材及び第2の部材のそれぞれが、平行な歯深さを有する、請求項1に記載のベベル歯車の対。
- 前記第1の部材がピニオン部材であり、第2の部材が歯車部材であり、前記ピニオン部材の歯数は、前記歯車部材よりも多い、請求項1に記載のベベル歯車の対。
- 第1のベベル歯車部材及び第2のベベル歯車部材を備えるベベル歯車の対であって、
前記第1部材と第2の部材の間の軸角がゼロ°より大きく30°までの範囲にあり、
前記第1の部材と第2の部材の間のハイポイド・オフセットがゼロから前記第1の部材及び第2の部材の平均ピッチ直径の半分の合計までの範囲にあり、
前記第1の部材及び第2の部材のそれぞれが、平行な歯深さであり、前記第1の部材及び第2の部材の少なくとも1つが、創成される部材である、ベベル歯車の対。 - 前記軸角が、ゼロ°より大きく20°までの範囲にある、請求項8に記載のベベル歯車の対。
- 前記第1の部材と前記第2の部材の間の前記ハイポイド・オフセットがゼロである、請求項8に記載のベベル歯車の対。
- 前記第1の部材及び第2の部材の歯数が同じである、請求項8に記載のベベル歯車の対。
- 前記第1の部材及び第2の部材の少なくとも1つが、インボリュートの形態の歯輪郭形状を含む、請求項8に記載のベベル歯車の対。
- 前記第1の部材がピニオン部材であり、第2の部材が歯車部材であり、前記ピニオン部材の歯数は、前記歯車部材よりも多い、請求項8に記載のベベル歯車の対。
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US20019508P | 2008-11-25 | 2008-11-25 | |
US61/200,195 | 2008-11-25 | ||
PCT/US2009/065639 WO2010068412A1 (en) | 2008-11-25 | 2009-11-24 | Hypoid gears with low shaft angles |
Publications (2)
Publication Number | Publication Date |
---|---|
JP2012510030A true JP2012510030A (ja) | 2012-04-26 |
JP5554341B2 JP5554341B2 (ja) | 2014-07-23 |
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Application Number | Title | Priority Date | Filing Date |
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JP2011537698A Active JP5554341B2 (ja) | 2008-11-25 | 2009-11-24 | 低軸角を有するハイポイド歯車 |
Country Status (5)
Country | Link |
---|---|
US (1) | US8573087B2 (ja) |
EP (1) | EP2350493B1 (ja) |
JP (1) | JP5554341B2 (ja) |
CN (1) | CN102224360B (ja) |
WO (1) | WO2010068412A1 (ja) |
Cited By (1)
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KR101591659B1 (ko) * | 2014-08-12 | 2016-02-05 | 부산대학교 산학협력단 | 인볼류트형 하이포이드 기어의 치형 설계 방법 |
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JP2011185285A (ja) * | 2010-03-04 | 2011-09-22 | Toyota Motor Corp | ハイポイドギヤ |
JP5501190B2 (ja) * | 2010-10-21 | 2014-05-21 | 株式会社シマノ | フェースギアの噛み合い進行方向線決定方法、フェースギアの製造方法、フェースギア及びスピニングリールのロータ駆動装置 |
CN101982673B (zh) * | 2010-11-04 | 2012-08-22 | 吉林大学 | 准双曲面齿轮副的设计方法 |
US8967013B2 (en) * | 2011-07-29 | 2015-03-03 | The Gleason Works | Optimization of face cone element for spiral bevel and hypoid gears |
US8950284B2 (en) * | 2012-02-29 | 2015-02-10 | Hamilton Sundstrand Corporation | Bevel gear for gearbox |
DE102016119717A1 (de) * | 2016-10-17 | 2018-04-19 | Klingelnberg Ag | Verfahren zum Ermöglichen oder Verbessern der Ziehbarkeit eines Kegelrades, eine entsprechend ausgestattete Vorrichtung und ein entsprechend modifiziertes Getriebe |
DE102020002698A1 (de) * | 2019-05-20 | 2020-11-26 | Sew-Eurodrive Gmbh & Co Kg | Getriebe mit einem eine Verzahnung aufweisenden Rad und jeweils eine Ritzelverzahnung aufweisenden Ritzeln |
US11648745B2 (en) | 2020-09-09 | 2023-05-16 | Mahindra N.A. Tech Center | Modular tooling for axle housing and manufacturing process |
US11225107B1 (en) | 2020-09-09 | 2022-01-18 | Mahindra N.A. Tech Center | Axle carrier housing with reinforcement structure |
US11655891B2 (en) | 2020-09-09 | 2023-05-23 | Mahindra N.A. Tech Center | Method of machining an axle carrier housing |
US11535057B2 (en) | 2020-09-09 | 2022-12-27 | Mahindra N.A. Tech Center | Axle assembly with sealed wheel end bearings and sealed pinion input bearings |
KR20240068672A (ko) * | 2021-10-06 | 2024-05-17 | 더 글리슨 웍스 | 차동 기어들의 제조 |
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- 2009-11-24 EP EP09775017.8A patent/EP2350493B1/en active Active
- 2009-11-24 CN CN200980148015.XA patent/CN102224360B/zh not_active Expired - Fee Related
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Also Published As
Publication number | Publication date |
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WO2010068412A1 (en) | 2010-06-17 |
EP2350493B1 (en) | 2013-12-18 |
CN102224360B (zh) | 2014-04-02 |
US8573087B2 (en) | 2013-11-05 |
CN102224360A (zh) | 2011-10-19 |
JP5554341B2 (ja) | 2014-07-23 |
US20110209573A1 (en) | 2011-09-01 |
EP2350493A1 (en) | 2011-08-03 |
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