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JP2001271889A - Structure of a pair of involute gears - Google Patents

Structure of a pair of involute gears

Info

Publication number
JP2001271889A
JP2001271889A JP2000087795A JP2000087795A JP2001271889A JP 2001271889 A JP2001271889 A JP 2001271889A JP 2000087795 A JP2000087795 A JP 2000087795A JP 2000087795 A JP2000087795 A JP 2000087795A JP 2001271889 A JP2001271889 A JP 2001271889A
Authority
JP
Japan
Prior art keywords
tooth
involute
pressure angle
pair
tooth profile
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
JP2000087795A
Other languages
Japanese (ja)
Inventor
Kazuo Tanaka
一夫 田中
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
JUKEN KOGYO KK
Original Assignee
JUKEN KOGYO KK
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by JUKEN KOGYO KK filed Critical JUKEN KOGYO KK
Priority to JP2000087795A priority Critical patent/JP2001271889A/en
Publication of JP2001271889A publication Critical patent/JP2001271889A/en
Pending legal-status Critical Current

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  • Gear Transmission (AREA)
  • Gears, Cams (AREA)

Abstract

PROBLEM TO BE SOLVED: To provide structure of a pair of involute gears which maintains strength of the tooth root, improving the contact ratio and sufficiently coping with the change of center distance, in the case the tooth number of a small gear is extremely small. SOLUTION: In this structure of a pair of involute gears, the pressure angle of the tooth end of the small gear is made smaller than that of the tooth root, and the pressure angle of the tooth end of the large gear is made equal to the pressure angle of the tooth root of the small gear. Furthermore, the pressure angle of the tooth root of the large gear is made equal to the pressure angle of the tooth end of the small gear.

Description

【発明の詳細な説明】DETAILED DESCRIPTION OF THE INVENTION

【0001】[0001]

【発明の属する技術分野】本発明は、主として互いに歯
合する一対のインボリュート歯車において、小歯車側の
歯数が16以下であって且つ、温度変化の大きな環境で
使用されるプラスチック材料からなるものに関する。ま
た、特に線膨張率の異なるプラスチック材料で夫々製作
された一対のインボリュート歯車にも適用できるものに
関する。
The present invention relates to a pair of involute gears meshing with each other, wherein the number of teeth on the small gear side is 16 or less, and the pair of involute gears is made of a plastic material used in an environment where a temperature change is large. About. In addition, the present invention particularly relates to a gear applicable to a pair of involute gears made of plastic materials having different linear expansion coefficients.

【0002】[0002]

【従来の技術】歯数が16以下の小歯車は、その製造に
おいて切り下げを防ぐため転移歯車が用いられている。
正の転移では、歯元のたけが短くなり歯圧は大きくなっ
て切り下げを減少または防止できる。図3は、圧力角が
20°で、小歯車の歯数が10、大歯車の歯数が61で
ある転移歯車の噛み合わせ状態を示すものである。ま
た、図4は圧力角が12°における同様の噛み合わせ状
態を示すものである。
2. Description of the Related Art For a small gear having 16 or less teeth, a transition gear is used in the manufacture thereof in order to prevent the gear from being cut down.
In a positive transition, the root of the tooth root is shortened and the tooth pressure is increased, so that devaluation can be reduced or prevented. FIG. 3 shows a meshing state of a transition gear in which the pressure angle is 20 °, the number of teeth of the small gear is 10, and the number of teeth of the large gear is 61. FIG. 4 shows a similar engagement state at a pressure angle of 12 °.

【0003】[0003]

【発明が解決しようとする課題】圧力角が大きい(20
°)図3の状態では、転移によって小歯車の切り下げを
防止することができる。しかしながら、歯末のたけが短
くなり、その分だけかみあい率が小さくなる欠点があ
る。また、圧力角が小さい(12°)図4の状態では、
歯末のたけは長くなるが、歯元に切下げが生じ小歯車の
強度が弱くなる。このような歯車をプラスチック製にす
る場合、その切下げ部が首状に細くなり、射出成形時に
樹脂材が冷却して収縮すると、型抜きが出来なくなり、
歯車の製造が困難となる。このように、小歯車の歯数が
極めて少ない条件のもとで、かみあい率を高くし、且つ
温度変化の大きな場所で使用できる、実用的なプラスチ
ック製インボリュート歯車は従来存在しなかった。特
に、線膨張率の異なるプラスチック材料で夫々製作され
た一対のインボリュート歯車の場合には、環境の温度変
化により噛み合い不能になることが多い。そこで本発明
は、上記課題を解決する歯車の開発を目的とする。
The pressure angle is large (20
°) In the state shown in FIG. 3, the downshift of the small gear can be prevented by the transition. However, there is a drawback that the tip of the tooth is shortened and the meshing ratio is reduced accordingly. In the state of FIG. 4 where the pressure angle is small (12 °),
Although the addendum is longer, the root of the tooth is cut down and the strength of the small gear is reduced. When such a gear is made of plastic, the depressed portion becomes narrow in a neck shape, and when the resin material is cooled and contracted during injection molding, the die cannot be removed,
Manufacturing of gears becomes difficult. As described above, there has been no practical plastic involute gear that can increase the contact ratio and can be used in a place where the temperature changes greatly under the condition that the number of teeth of the small gear is extremely small. In particular, in the case of a pair of involute gears made of plastic materials having different linear expansion coefficients, meshing often becomes impossible due to a change in environmental temperature. Therefore, an object of the present invention is to develop a gear that solves the above problems.

【0004】[0004]

【課題を解決するための手段】請求項1に記載の本発明
は、歯数の少ない第1の歯形1と、歯数の多い第2の歯
形2とが互いに歯合して伝動するように形成された一対
のインボリュート歯車構造において、第1の歯形1は、
その歯末側のインボリュート歯形1aの圧力角α1 と、
歯元側のインボリュート歯形1bの圧力角α2 とが、α
1 <α2 の関係にあり、第2の歯形2は、その歯末側の
インボリュート歯形2aの圧力角α3 と、歯元側のイン
ボリュート歯形2bの圧力角α4 とが、α3 =α2 , α
4 =α1 の関係にあることを特徴とする一対のインボリ
ュート歯車構造である。請求項2に記載の本発明は、請
求項1において、第1の歯形1の歯数が16以下であり
且つ、その歯形は正に転移され、第2の歯形2の歯数は
25以上であり且つ、その歯形は負または正に転移され
あるいは転移されていないものである一対のインボリュ
ート歯車構造である。請求項3に記載の本発明は、請求
項1または請求項2において、プラスチック材料からな
る一対のインボリュート歯車構造である。
According to the first aspect of the present invention, the first tooth profile 1 having a small number of teeth and the second tooth profile 2 having a large number of teeth are transmitted while meshing with each other. In the formed pair of involute gear structures, the first tooth profile 1 is:
The pressure angle α 1 of the involute tooth profile 1a on the tip side,
The pressure angle α 2 of the involute tooth profile 1b on the root side is α
12 , and the second tooth form 2 has a pressure angle α 3 of the involute tooth form 2a on the tip end side and a pressure angle α 4 of the involute tooth form 2b on the root side, α 3 = α. 2, α
4 = is a pair of involute gears structure, characterized in that the alpha 1 relationship. According to a second aspect of the present invention, in the first aspect, the number of teeth of the first tooth profile 1 is 16 or less, and the tooth profile is positively shifted, and the number of teeth of the second tooth profile 2 is 25 or more. In addition, the tooth profile is a pair of involute gear structures that are negatively or positively shifted or not shifted. According to a third aspect of the present invention, there is provided a pair of involute gear structures made of a plastic material according to the first or second aspect.

【0005】[0005]

【発明の実施の形態】次に、図面に基づいて本発明の実
施の形態を説明する。図1は本発明の一対のインボリュ
ート平歯車の要部を示す拡大平面図、図2は本発明の歯
車の作用効果を対比的に説明するための参考図である。
図1において、歯数が10の小歯車を構成する第1の歯
形1は、その第1圧力角の基礎円D1 を基準として、歯
末側のインボリュート歯形1aが圧力角12°のもので
あり、歯元側のインボリュート歯形1bが圧力角20°
のものである。そして歯末側のインボリュート歯形1a
の転移係数は正で0.6であり、歯元側のインボリュー
ト歯形1bの転移係数は正で0.3である。そして大歯
車である第2の歯形2は、その歯数が61の例であり、
第2圧力角基礎円D2 を基準として、歯末側のインボリ
ュート歯形2aが20°の圧力角でであり、歯元側のイ
ンボリュート歯形2bの圧力角が12°である。そして
歯末側のインボリュート歯形2aは転移係数が負で−
0.53であり、歯元側のインボリュート歯形2bは負
で転移係数が−0.818である。またこの例では、第
1の歯形1の基準ピッチ円径は0.9mmのものであり、
第2の歯形2のそれが11.59mmのものである。また
モジュールは、0.19である。
Next, an embodiment of the present invention will be described with reference to the drawings. FIG. 1 is an enlarged plan view showing a main part of a pair of involute spur gears of the present invention, and FIG. 2 is a reference diagram for comparatively explaining the operation and effect of the gear of the present invention.
In FIG. 1, a first tooth profile 1 constituting a small gear having 10 teeth has an involute tooth profile 1a on the tip end side with a pressure angle of 12 ° based on a base circle D 1 having the first pressure angle. The involute tooth profile 1b on the root side has a pressure angle of 20 °
belongs to. And the involute tooth profile 1a on the appendix side
Is positive and the transfer coefficient of the involute tooth profile 1b on the root side is positive and 0.3. The second tooth profile 2 which is a large gear is an example in which the number of teeth is 61,
Based on the second pressure angle basic circle D 2, involute 2a of the addendum side is at a pressure angle of 20 °, pressure angle tooth root side of the involute tooth 2b is 12 °. The involute tooth profile 2a on the appendix side has a negative transfer coefficient and −
0.53, and the root-side involute tooth profile 2b is negative and has a transfer coefficient of -0.818. In this example, the reference pitch circle diameter of the first tooth profile 1 is 0.9 mm,
That of the second tooth profile 2 is 11.59 mm. The module size is 0.19.

【0006】この小歯車(第1の歯形1)側の歯末は、
参考図である図2において実線の第1の圧力角の歯形3
の圧力角12°を採用し、歯元は点線の第2の圧力角の
歯形4の圧力角20°を採用したものである。そのよう
にすることにより、小歯車の歯元の強度を増すと共に、
歯末のたけを長くして、かみあい率を可能な限り向上す
ることができ、円滑な歯合を確保できる。
The addendum on the side of the small gear (first tooth profile 1) is
In FIG. 2 which is a reference diagram, the tooth profile 3 of the first pressure angle indicated by a solid line.
The pressure angle of 12 ° is adopted, and the tooth root adopts the pressure angle of 20 ° of the tooth form 4 of the second pressure angle indicated by the dotted line. By doing so, the strength of the tooth root of the small gear is increased,
By increasing the length of the tooth tip, the contact ratio can be improved as much as possible, and a smooth tooth engagement can be ensured.

【0007】次に、図5は本発明の他の実施の態様を示
し、小歯車(第1の歯形1)の歯数が10であり、大歯
車(第2の歯形2)の歯数が61の例である。基本的に
は図1のそれらと同じであり、この小歯車(第1の歯形
1)側の歯末は、参考図である図6において実線の第1
圧力角の歯形3の圧力角12°を採用し、歯元は点線の
第2圧力角の歯形4の圧力角20°を採用したものであ
る。そのようにすることにより、小歯車の歯元の強度を
増すと共に、歯末のたけを長くして、かみあい率を可能
な限り向上することができ、円滑な歯合を確保できる。
FIG. 5 shows another embodiment of the present invention, in which the number of teeth of a small gear (first tooth form 1) is ten and the number of teeth of a large gear (second tooth form 2) is ten. 61 is an example. Basically, it is the same as that of FIG. 1, and the addendum on the side of the small gear (first tooth profile 1) is the first solid line in FIG.
The pressure angle 12 ° of the tooth form 3 of the pressure angle is employed, and the tooth root employs the pressure angle 20 ° of the tooth form 4 of the second pressure angle indicated by the dotted line. By doing so, the strength of the root of the pinion of the pinion can be increased, and the end gear can be lengthened, the meshing rate can be improved as much as possible, and a smooth meshing can be ensured.

【0008】[0008]

【発明の作用・効果】本発明の一対のインボリュート歯
車構造によれば、歯数の少ない小歯車の第1の歯形1
は、その歯元における強度を確保できると共に、かみあ
い率を大きくして円滑な伝動を行うことができる。即
ち、小歯車の歯元の圧力角を大として、その切下げをな
くすことができ、歯末の圧力角を小とすることで、歯末
のたけを長くして、かみあい率を大きくすることができ
る。しかも、歯末及び歯元ともにインボリュート歯形で
あるから、確実な伝動を確保できると共に、その制作が
容易である。また、第2の歯形2は歯数が多いから、そ
の歯元側の圧力角が歯末側より小であっても、強度上の
問題は生じない。
According to the pair of involute gear structures of the present invention, the first tooth profile 1 of the small gear having a small number of teeth is provided.
Can secure the strength at the base of the tooth, and can increase the meshing ratio to perform smooth transmission. In other words, it is possible to increase the pressure angle at the root of the pinion and eliminate the devaluation, and to reduce the pressure angle at the tooth tip to lengthen the tooth tip and increase the meshing ratio. it can. In addition, since both the addendum and the root have involute tooth profiles, reliable transmission can be ensured and the production thereof is easy. Further, since the second tooth profile 2 has a large number of teeth, even if the pressure angle at the root of the tooth is smaller than that at the end of the tooth, there is no problem in strength.

【0009】請求項2に記載の本発明によれば、第1の
歯形1の歯数が16以下であり且つその歯形は正に転移
されたものであるから、その歯末のたけは長く歯元のた
けは短くなり、歯圧は厚くなって切り下げを防止し、小
歯車の強度を強くし得る。また第2の歯形2の歯数は2
5以上であり、大歯車先端と小歯車の歯底とのギャップ
を大きく保ち、環境温度変化に伴い、軸間距離が短くな
っても正常な噛み合いを保ち得る。さらには、軸間距離
が長くなっても正常な噛み合いを保ち得る。これは小歯
車の歯末が長く、それに噛み合う大歯車の歯元が長くな
っているからである。
According to the second aspect of the present invention, since the number of teeth of the first tooth profile 1 is 16 or less and the tooth profile is positively shifted, the end of the tooth is long. The original warp becomes shorter, the tooth pressure becomes thicker, preventing the undercut, and the strength of the small gear can be increased. The number of teeth of the second tooth profile 2 is 2
The gap is 5 or more, and the gap between the leading end of the large gear and the tooth bottom of the small gear is kept large, so that normal engagement can be maintained even if the distance between the shafts is shortened due to environmental temperature changes. Further, normal engagement can be maintained even when the distance between the shafts becomes long. This is because the addendum of the small gear is long, and the root of the large gear meshing with it is long.

【0010】請求項3に記載の本発明は、前記各発明の
一対のインボリュート歯車構造において、その歯車がプ
ラスチック材料からなるものである。この発明によれ
ば、夫々切り下げを防止し歯元のくびれをなくすことが
できるから、プラスチック成形の際、樹脂材が冷却固化
して縮小しても、製品をその金型からの離型ができる。
そのため、信頼性が高く精度の良いプラスチック歯車を
提供できる。
According to a third aspect of the present invention, in the pair of involute gear structures of the respective inventions, the gears are made of a plastic material. According to the present invention, it is possible to prevent the undercut and eliminate the narrowing of the tooth root, so that even when the resin material is cooled and solidified and reduced during plastic molding, the product can be released from the mold. .
Therefore, a highly reliable and accurate plastic gear can be provided.

【図面の簡単な説明】[Brief description of the drawings]

【図1】本発明の一対のインボリュート歯形の拡大平面
図。
FIG. 1 is an enlarged plan view of a pair of involute tooth profiles of the present invention.

【図2】本発明の一対のインボリュート歯形の説明のた
めの比較用参考図。
FIG. 2 is a comparative reference diagram for explaining a pair of involute tooth profiles of the present invention.

【図3】従来型歯車であって、圧力角20°、小歯車の歯
数が10で、大歯車の歯数が61の転移歯車の噛み合わせ状
態を示すもの。
FIG. 3 shows a conventional gear, in which a transition angle gear having a pressure angle of 20 °, a small gear having 10 teeth, and a large gear having 61 teeth is meshed.

【図4】従来型歯車であって、圧力角12°、小歯車の歯
数が10で、大歯車の歯数が61の転移歯車の噛み合わせ状
態を示すもの。
FIG. 4 shows a conventional gear, in which a transition angle gear having a pressure angle of 12 °, a small gear having 10 teeth, and a large gear having 61 teeth is meshed.

【図5】本発明の他の一対のインボリュート歯形の拡大
平面図。
FIG. 5 is an enlarged plan view of another pair of involute tooth profiles of the present invention.

【図6】本発明の一対のインボリュート歯形の説明のた
めの比較用参考図。
FIG. 6 is a comparative reference diagram for explaining a pair of involute tooth profiles of the present invention.

【符号の説明】[Explanation of symbols]

1 第1の歯形 1a 歯末側のインボリュート歯形 1b 歯元側のインボリュート歯形 2 第2の歯形 2a 歯末側のインボリュート歯形 2b 歯元側のインボリュート歯形 D1 第1圧力角の基礎円 D2 第2圧力角の基礎円 D3 第1圧力角の基礎円 D0 ピッチ円 3 第1圧力角の歯形 4 第2圧力角の歯形DESCRIPTION OF SYMBOLS 1 1st tooth profile 1a Involute tooth profile at the end of the tooth 1b Involute tooth profile at the root of the tooth 2 Second tooth profile 2a Involute tooth profile at the end of the tooth 2b Involute tooth profile at the root of the tooth D 1 Base circle of the first pressure angle D 2 2 Basic circle of pressure angle D 3 Basic circle of first pressure angle D 0 Pitch circle 3 Tooth profile of first pressure angle 4 Tooth profile of second pressure angle

Claims (3)

【特許請求の範囲】[Claims] 【請求項1】 歯数の少ない第1の歯形1と、歯数の多
い第2の歯形2とが互いに歯合して伝動するように形成
された一対のインボリュート歯車構造において、 第1の歯形1は、その歯末側のインボリュート歯形1a
の圧力角α1 と、歯元側のインボリュート歯形1bの圧
力角α2 とが、α1 <α2 の関係にあり、 第2の歯形2は、その歯末側のインボリュート歯形2a
の圧力角α3 と、歯元側のインボリュート歯形2bの圧
力角α4 とが、α3 =α2 , α4 =α1 の関係にあるこ
とを特徴とする一対のインボリュート歯車構造。
1. A pair of involute gear structures formed so that a first tooth profile 1 having a small number of teeth and a second tooth profile 2 having a large number of teeth are meshed with each other and transmitted. 1 is an involute tooth profile 1a on the distal end side
A pressure angle alpha 1 of the pressure angle alpha 2 of the tooth root side of the involute tooth 1b is in the relationship of alpha 1 <alpha 2, the second tooth 2, involute tooth 2a of the addendum side
A pressure angle alpha 3 of the pressure angle alpha 4 of the tooth root side of the involute tooth 2b is, α 3 = α 2, α 4 = α a pair of involute gears structure, characterized in that in one relationship.
【請求項2】 請求項1において、 第1の歯形1の歯数が16以下であり且つ、その歯形は
正に転移され、 第2の歯形2の歯数は25以上であり且つ、その歯形は
負または正に転移され、あるいは転移のないものである
一対のインボリュート歯車構造。
2. The tooth profile of claim 1, wherein the number of teeth of the first tooth profile 1 is 16 or less and the tooth profile is positively shifted, and the number of teeth of the second tooth profile 2 is 25 or more and the tooth profile thereof. Is a pair of involute gear structures that are either negatively or positively shifted, or have no shift.
【請求項3】 請求項1または請求項2において、 プラスチック材料からなる一対のインボリュート歯車構
造。
3. The pair of involute gear structures according to claim 1, wherein the pair of involute gears is made of a plastic material.
JP2000087795A 2000-03-28 2000-03-28 Structure of a pair of involute gears Pending JP2001271889A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP2000087795A JP2001271889A (en) 2000-03-28 2000-03-28 Structure of a pair of involute gears

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP2000087795A JP2001271889A (en) 2000-03-28 2000-03-28 Structure of a pair of involute gears

Publications (1)

Publication Number Publication Date
JP2001271889A true JP2001271889A (en) 2001-10-05

Family

ID=18603752

Family Applications (1)

Application Number Title Priority Date Filing Date
JP2000087795A Pending JP2001271889A (en) 2000-03-28 2000-03-28 Structure of a pair of involute gears

Country Status (1)

Country Link
JP (1) JP2001271889A (en)

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2005056367A1 (en) * 2003-12-08 2005-06-23 Jtekt Corporation Electric power steering device
CN101938192A (en) * 2009-06-30 2011-01-05 哈米尔顿森德斯特兰德公司 The generator idler gear
JP2012122602A (en) * 2010-12-09 2012-06-28 Takashi Matsuda Involute tooth profile internal gear pair out of pitch circle making large dedendum width and small relative curvature of tooth profile at engaging point without varying positive/negative of sliding rate during engagement
JP2013019476A (en) * 2011-07-12 2013-01-31 Toyota Central R&D Labs Inc Gear wheel
CN103195869A (en) * 2013-03-28 2013-07-10 东北大学 Involute cylindrical gear system transmission accuracy reliability determining and controlling method

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WO2005056367A1 (en) * 2003-12-08 2005-06-23 Jtekt Corporation Electric power steering device
JPWO2005056367A1 (en) * 2003-12-08 2007-12-06 株式会社ジェイテクト Electric power steering device
US7600602B2 (en) 2003-12-08 2009-10-13 Jtekt Corporation Motor-driven power steering apparatus
CN101938192A (en) * 2009-06-30 2011-01-05 哈米尔顿森德斯特兰德公司 The generator idler gear
US7926381B2 (en) * 2009-06-30 2011-04-19 Hamilton Sundstrand Corporation Idler gear for a generator
JP2012122602A (en) * 2010-12-09 2012-06-28 Takashi Matsuda Involute tooth profile internal gear pair out of pitch circle making large dedendum width and small relative curvature of tooth profile at engaging point without varying positive/negative of sliding rate during engagement
JP2013019476A (en) * 2011-07-12 2013-01-31 Toyota Central R&D Labs Inc Gear wheel
CN103195869A (en) * 2013-03-28 2013-07-10 东北大学 Involute cylindrical gear system transmission accuracy reliability determining and controlling method

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