JPH06213287A - Flexible meshing type gear meshing construction - Google Patents

Flexible meshing type gear meshing construction

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Publication number
JPH06213287A
JPH06213287A JP446393A JP446393A JPH06213287A JP H06213287 A JPH06213287 A JP H06213287A JP 446393 A JP446393 A JP 446393A JP 446393 A JP446393 A JP 446393A JP H06213287 A JPH06213287 A JP H06213287A
Authority
JP
Japan
Prior art keywords
gear
external gear
teeth
meshing
internal
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.)
Granted
Application number
JP446393A
Other languages
Japanese (ja)
Other versions
JP2771415B2 (en
Inventor
Toshihiro Ishida
敏浩 石田
Akira Hirao
晃 平尾
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.)
Sumitomo Heavy Industries Ltd
Original Assignee
Sumitomo Heavy Industries Ltd
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 Sumitomo Heavy Industries Ltd filed Critical Sumitomo Heavy Industries Ltd
Priority to JP446393A priority Critical patent/JP2771415B2/en
Publication of JPH06213287A publication Critical patent/JPH06213287A/en
Application granted granted Critical
Publication of JP2771415B2 publication Critical patent/JP2771415B2/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

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Abstract

PURPOSE:To restrain deformation resistance of an external gear to be small in a flexible meshing type gear meshing construction, even in case of setting difference of the number of teeth between an internal gear and an external gear to be small. CONSTITUTION:When difference of the number of teeth between an internal gear 132 and an external gear 128 is set as (i), difference of the number of teeth between the internal gear 132 and a virtual external gear 134 inscribedly meshing with the internal gear 132 and having rigidity is set as (j), and relation of (i)<(j) is set, the tooth profile of the external gear after bending in the part meshing with the internal gear is set to be formed into equal tooth profile of the virtual external gear, and the deformed curvature at the meshing part of the external gear with the internal gear is set to be equal to the curvature of that of the virtual external gear.

Description

【発明の詳細な説明】Detailed Description of the Invention

【0001】[0001]

【産業上の利用分野】本発明は、小型の減速機、あるい
は増速機に適用するのに好適な、撓み噛合い式の歯車噛
合構造、即ちいわゆる波動歯車構造に関する。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a flexible mesh type gear meshing structure, that is, a so-called wave gear structure, which is suitable for application to a small speed reducer or a speed increaser.

【0002】[0002]

【従来の技術】従来、撓み噛合い式歯車噛合構造に関す
る技術として、例えば特開昭63−130949号公報
に記載のものが知られている。以下、これについて説明
する。
2. Description of the Related Art Conventionally, for example, a technique disclosed in Japanese Patent Laid-Open No. 63-130949 is known as a technique relating to a flexural meshing gear meshing structure. This will be described below.

【0003】図5はこの従来技術の構造を示す断面図、
図6は図3のVI−VI線断面図である。この構造は一般に
波動歯車構造とも呼ばれている。
FIG. 5 is a sectional view showing the structure of this prior art,
FIG. 6 is a sectional view taken along line VI-VI of FIG. This structure is generally called a wave gear structure.

【0004】入力回転軸21には外スプライン22Aが
設けられており、該外スプライン22Aが、波動発生器
となる偏心体23に設けられた内スプライン22Bと結
合している。これらの偏心体23の外周には偏心体軸受
24が設けられている。偏心体軸受24の外周には外歯
歯車28が設けられており、該外歯歯車28はフランジ
部29、円環部30及び外歯部31とから構成されてい
る。外歯歯車28の外歯部31は偏心体軸受24の外輪
27の外周に位置している。
The input rotary shaft 21 is provided with an outer spline 22A, and the outer spline 22A is connected to an inner spline 22B provided on an eccentric body 23 which serves as a wave generator. Eccentric body bearings 24 are provided on the outer circumferences of these eccentric bodies 23. An external gear 28 is provided on the outer periphery of the eccentric body bearing 24, and the external gear 28 is composed of a flange portion 29, an annular portion 30, and an external tooth portion 31. The external tooth portion 31 of the external gear 28 is located on the outer circumference of the outer ring 27 of the eccentric body bearing 24.

【0005】前記において、外輪27、円環部30及び
外歯部31は弾性変形可能となっている。外歯部31に
設けられた外歯31Aは、トロコイド歯形等からなって
おり、該外歯31Aは、内歯歯車32に回転可能に支持
されたピンにより構成された内歯33Aに噛合してい
る。
In the above, the outer ring 27, the annular portion 30 and the outer tooth portion 31 are elastically deformable. The external tooth 31A provided on the external tooth portion 31 has a trochoidal tooth profile or the like, and the external tooth 31A meshes with an internal tooth 33A formed by a pin rotatably supported by an internal gear 32. There is.

【0006】内歯歯車32の内歯(ピン)33Aの数に
対して、外歯31Aの数は2歯だけ少なくなっている。
そして、外歯31Aの形状は、転円と基円の半径比が整
数であるエピトロコイド平行曲線を2個、位相をずらせ
て重ね合わせ、重なり合った個々の曲線のうち最も内側
にある曲線部分を歯形曲線としたものであり、この歯形
自体は特公昭58−42382号(特許第120854
8号)として公知のものである。
The number of external teeth 31A is smaller by two than the number of internal teeth (pins) 33A of the internal gear 32.
The shape of the external teeth 31A is such that two epitrochoid parallel curves having a radius ratio of an inversion circle and a base circle are integers are overlapped with their phases shifted, and the innermost curve portion of the overlapping individual curves is This is a tooth profile curve, and the tooth profile itself is Japanese Patent Publication No. 58-42382 (Patent No. 120854).
No. 8).

【0007】入力回転軸21の回転は波動発生器(偏心
体23)の回転となり、偏心体23は偏心体軸受24を
介して外歯歯車28の外歯部31を変形させる。偏心体
23の凸部により変形させられた外歯部31は、その外
歯31Aが内歯(ピン)33Aと噛合し、偏心体23の
1回転の間に外歯31Aとピン33Aとの歯数差だけ位
相がずれ、そのずれが外歯歯車28の回転となって出力
軸34に伝達される。本例では具体的には外歯31Aが
100歯、内歯(ピン)33Aが102歯あり、その歯
数差は2であり減速比は(−2/100=−1/50)
となる。なお、「−」は入出力が逆回転の関係となるこ
とを示している。
The rotation of the input rotary shaft 21 becomes the rotation of the wave generator (eccentric body 23), and the eccentric body 23 deforms the external tooth portion 31 of the external gear 28 through the eccentric bearing 24. The outer tooth portion 31 deformed by the convex portion of the eccentric body 23 has its outer tooth 31A meshing with the inner tooth (pin) 33A, and the tooth of the outer tooth 31A and the pin 33A is rotated during one rotation of the eccentric body 23. The phase shifts by a number difference, and the shift becomes rotation of the external gear 28 and is transmitted to the output shaft 34. In this example, specifically, there are 100 external teeth 31A and 102 internal teeth (pins) 33A, the difference in the number of teeth is 2, and the reduction ratio is (-2 / 100 = -1 / 50).
Becomes In addition, "-" indicates that the input and output are in a reverse rotation relationship.

【0008】内歯歯車32はこの実施例では固定されて
いる。しかしながら、外歯歯車28と内歯歯車32とは
一方を固定すると他方が出力側となる相対的なものであ
り、又、入力回転軸は出力軸を入力側とすれば増速して
取り出す出力軸ともなる。
The internal gear 32 is fixed in this embodiment. However, when one of the external gear 28 and the internal gear 32 is fixed, the other is the output side, and the input rotary shaft is the output that is accelerated and taken out when the output shaft is the input side. It also serves as an axis.

【0009】ところで、この種の撓み噛合い式の歯車装
置では、外歯歯車28と内歯歯車32に使用している歯
形は、前述した特公昭58−42382号公報に開示さ
れたものが理想とされている。この特公昭58−423
82号公報に開示された歯形は、もともとは、剛性を有
する内歯歯車と剛性を有する外歯歯車とを有する遊星歯
車減速機(出願人所有に係る登録商標「サイクロ減速
機」として周知)に使用する目的で発案されたものであ
る。
By the way, in this type of flexible mesh type gear device, the tooth profile used for the external gear 28 and the internal gear 32 is ideally the one disclosed in Japanese Patent Publication No. 58-42382 mentioned above. It is said that. This Japanese Patent Sho 58-423
The tooth profile disclosed in Japanese Unexamined Patent Publication No. 82 is originally applied to a planetary gear reducer (known as a registered trademark “Cyclo reducer” owned by the applicant) having an internal gear having rigidity and an external gear having rigidity. It was invented for the purpose of use.

【0010】即ち、撓み噛合い式の歯車装置において
も、外歯歯車28と内歯歯車32とを理論的に正確に噛
合させるには、当該外歯歯車28と内歯歯車32は、少
なくとも噛合っている部分においては前記剛性を有する
外歯歯車及び内歯歯車の組合せに係る遊星歯車減速機の
噛合状態と同じ状態が形成されなくてはならないという
ことである。
That is, even in the flexural gear type gear device, in order to make the external gear 28 and the internal gear 32 mesh theoretically and accurately, at least the external gear 28 and the internal gear 32 mesh with each other. That is, the same state as the meshing state of the planetary gear reducer related to the combination of the external gear and the internal gear having the above-mentioned rigidity must be formed in the portion where the gears are engaged.

【0011】これは、具体的には、少なくとも内歯歯車
32との噛合部分における外歯歯車28の形状(曲率半
径)が、該外歯歯車28を撓ませる(変形させる)前の
真円状態での形状(曲率半径)と同一になっていなけれ
ばならないことを意味する。
Specifically, this is a perfect circular state before the external gear 28 has a shape (radius of curvature) at least at a portion meshing with the internal gear 32 before the external gear 28 is bent (deformed). It means that it must have the same shape (curvature radius) as in.

【0012】[0012]

【発明が解決しようとする課題】しかしながら、このよ
うな考え方には以下のような不具合があった。
However, such an idea has the following drawbacks.

【0013】これを図7を用いて説明する。This will be described with reference to FIG.

【0014】図7は、撓み噛合い式の歯車噛合構造にお
ける外歯歯車の変形状態を概念的に示したものである。
図に示されるように、外歯歯車28上の点A、B、C、
Dは、変形により点A2、B2、C2、D2へと移る。
ここで曲線A2−D2及び曲線B2−C2で示される部
分において、外歯歯車28の外歯31Aと内歯歯車32
の内歯(ピン)33Aが理論的に正確に噛合う必要があ
る。
FIG. 7 conceptually shows a deformed state of an external gear in a flex mesh type gear meshing structure.
As shown, points A, B, C on external gear 28,
Deformation moves to points A2, B2, C2, D2.
Here, in the portions indicated by the curves A2-D2 and B2-C2, the external teeth 31A of the external gear 28 and the internal gear 32 are shown.
It is necessary that the internal teeth (pins) 33A of the gears theoretically mesh accurately.

【0015】ここで、外歯歯車28の変形前と変形後の
曲線を比較して見ると、曲線A−D(曲線B−C)が曲
線A2−D2(曲線B2−C2)へ平行移動しているた
め、A2−B2間(C2−D2間)がA−B間(C−D
間)より広くなっており、その分曲線A2−B2(曲線
C2−D2)は点A2、B2(点C2、D2)での接線
の傾きがA、B(C、D)での傾きと等しいままで、曲
線A−B(曲線C−D)をX軸方向に引き伸ばされた形
となっている。
Here, comparing the curves of the external gear 28 before and after the deformation, the curve A-D (curve B-C) is translated to the curve A2-D2 (curve B2-C2). Therefore, between A2-B2 (between C2-D2) is between A-B (C-D
The curve A2-B2 (curve C2-D2) has a tangent slope at points A2 and B2 (points C2 and D2) equal to the slope at A and B (C and D). Up to this point, the curve AB (curve CD) is extended in the X-axis direction.

【0016】そのため、変形後の外歯歯車28の形状
は、点A2、B2、C2、D2の近傍で急激に曲率半径
が小さくなっていることが分かる。
Therefore, it can be seen that the shape of the deformed external gear 28 has a sharply reduced radius of curvature in the vicinity of the points A2, B2, C2 and D2.

【0017】これは、変形前後の全周の長さが一定であ
ること、及び一定の範囲(ここでは曲線A2−D2及び
曲線B2−C2)において、変形後においても変形前の
曲率半径を維持しなければならないために必然的に生じ
る現象である(これにより、偏心体23Aの形状も決定
される)。
This is because the entire circumference before and after deformation is constant, and within a certain range (here, curve A2-D2 and curve B2-C2), the radius of curvature before deformation is maintained even after deformation. This is a phenomenon that inevitably occurs because it has to be done (this also determines the shape of the eccentric body 23A).

【0018】従って、外歯歯車28には、当該変形によ
り、特に点A2、B2、C2、D2の付近において大き
な曲げ応力が発生し、これによって伝達可能トルクを制
限せざるを得ない場合が少なくなかった。
Therefore, in the external gear 28, a large bending stress is generated in the vicinity of the points A2, B2, C2, and D2 due to the deformation, and it is unavoidable that the transmissible torque is limited. There wasn't.

【0019】本発明は、このような従来の問題に鑑みて
成されたものであって、外歯歯車の撓みを必須とする撓
み噛合い式の歯車噛合構造において、当該外歯歯車の変
形による曲げ応力を極力抑え、伝達効率の向上及び伝達
可能トルクの増大を図ることをその目的としている。
The present invention has been made in view of such a conventional problem, and in a flex meshing type gear meshing structure in which the flexure of the external gear is essential, the external gear is deformed. The purpose is to suppress bending stress as much as possible, improve transmission efficiency, and increase transmittable torque.

【0020】[0020]

【課題を解決するための手段】本発明は、剛性を有した
内歯歯車と、該内歯歯車に内接噛合可能な可撓性を有し
た外歯歯車と、該外歯歯車を撓み変形させることによっ
て前記内歯歯車と外歯歯車との内接噛合を実現させる波
動発生器と、を備えた撓み噛合い式歯車噛合構造におい
て、前記内歯歯車と外歯歯車との歯数差をi としたとき
に、前記内歯歯車との歯数差がi より大きなj で(i <
j )、且つ該内歯歯車と内接噛合する剛性を有した仮想
外歯歯車を想定し、前記外歯歯車の歯形を、該外歯歯車
が撓んだ結果、内歯歯車と噛合する部分において前記仮
想外歯歯車の歯形と等しくなる形状に形成すると共に、
該外歯歯車の内歯歯車と噛合する部分における変形曲率
を、前記仮想外歯歯車の曲率と等しく設定したことによ
り、上記課題を解決したものである。
SUMMARY OF THE INVENTION According to the present invention, a rigid internal gear, an external gear having flexibility capable of intermeshing with the internal gear, and a flexural deformation of the external gear. In the flexural mesh type gear meshing structure including a wave generator that realizes internal meshing of the internal gear and the external gear by doing, a difference in the number of teeth between the internal gear and the external gear Let i be j and the difference in the number of teeth from the internal gear is larger than i (i <
j), and assuming a virtual external gear having rigidity that meshes internally with the internal gear, the tooth profile of the external gear is the portion that meshes with the internal gear as a result of bending of the external gear. In addition to forming a shape that is equal to the tooth profile of the virtual external gear in
The problem described above is solved by setting the deformation curvature in the portion of the external gear that meshes with the internal gear to be equal to the curvature of the virtual external gear.

【0021】[0021]

【作用】本発明では、外歯歯車と内歯歯車との歯数差が
i であったときに、当該歯数差i に着目して内歯歯車及
び外歯歯車の歯形や曲率を決定するという従来の設計思
想を改め、この歯数差i よりも大きな歯数差j となるよ
うな外歯歯車を仮想的に想定するようにした。
In the present invention, the difference in the number of teeth between the external gear and the internal gear is
When i, the conventional design concept of deciding the tooth profile and curvature of the internal gear and the external gear by focusing on the tooth number difference i is revised, and the tooth number difference j larger than this tooth number difference i The external gear that would be

【0022】この仮想外歯歯車は、基本形状が真円で且
つ剛性を有するもので、従って、タイプとしては従来公
知の遊星歯車減速機(サイクロ減速機:登録商標)の外
歯歯車に相当するものと考えてよい。
This virtual external gear has a basic shape that is a perfect circle and has rigidity. Therefore, as a type, it corresponds to an external gear of a conventionally known planetary gear reducer (cyclo reducer: registered trademark). You can think of it as something.

【0023】図3は、本発明に係る外歯歯車の変形形状
について、図7(従来例)と対応して示した図である。
FIG. 3 is a view showing a deformed shape of the external gear according to the present invention, corresponding to FIG. 7 (conventional example).

【0024】図3及び図7において、点Pと点Qは同一
である。即ち、変形前の真円の状態でX軸上で点Pの位
置にあった外歯歯車の外歯部分が噛合時に点Qの位置に
まで移動することになる。
3 and 7, point P and point Q are the same. That is, the external tooth portion of the external gear that was located at the point P on the X-axis in the state of a perfect circle before the deformation moves to the position of the point Q when meshing.

【0025】又、図3の曲線A1−D1(曲線B1−C
1)の曲率半径は、図7の曲線A2−D2(曲線B2−
C2)の曲率半径(=曲線A−D(曲線B−C)の曲率
半径)よりも小さく、その割合は「仮想外歯歯車の歯数
/外歯歯車の歯数」に相当する。
Further, the curve A1-D1 (curve B1-C in FIG. 3 is
The radius of curvature of 1) is the curve A2-D2 (curve B2-) of FIG.
It is smaller than the radius of curvature of C2) (= the radius of curvature of the curve A-D (curve B-C)), and the ratio thereof corresponds to "the number of teeth of the virtual external gear / the number of teeth of the external gear".

【0026】従って、点A→点A2(点B→点B2、点
C→点C2、点D→点D2)へのX軸方向の移動距離よ
りも、A→A1(B→B1、C→C1、D→D1)への
X軸方向の移動距離の方が短くなる。しかも、θ1 は
(外歯歯車の歯数/仮想外歯歯車の歯数)×θであるた
め、θ1 >θである。そのため曲線A−B→曲線A1−
B1(曲線C−D→曲線C1−D1)への変形は、A
−A1間とA−A2間のX軸方向の距離の差、及び点
A1、B1での曲線A1−B1の接線の傾きと、点A
2、B2での曲線A2−B2の接線の傾きの差、によっ
て曲線A−B→曲線A2−B2(曲線C−D→曲線C2
−D2)への変形よりも容易に行うことができる。
Therefore, A → A1 (B → B1, C →) rather than the moving distance in the X-axis direction from point A → point A2 (point B → point B2, point C → point C2, point D → point D2). The moving distance in the X-axis direction from C1, D → D1) becomes shorter. Moreover, since θ1 is (number of teeth of external gear / number of teeth of virtual external gear) × θ, θ1> θ. Therefore, curve AB → curve A1-
The transformation from B1 (curve C-D to curve C1-D1) is A
-A1 and A-A2 distance difference in the X-axis direction, and the slope of the tangent to the curve A1-B1 at points A1 and B1 and point A
2, the difference in the tangent slopes of the curve A2-B2 at B2, the curve AB → the curve A2-B2 (curve CD → curve C2
-D2) can be performed more easily.

【0027】従って、外歯歯車の変形による曲げ応力が
その分低減され、ひいては外歯歯車の曲げ応力により制
限されていた伝達可能トルクを増大させることができる
ようになる。
Therefore, the bending stress due to the deformation of the external gear is reduced accordingly, and the transmissible torque limited by the bending stress of the external gear can be increased.

【0028】しかも噛合部分では、外歯歯車は仮想外歯
歯車の曲率半径に変形すると共に、その噛合部分の歯形
が仮想外歯歯車の歯形と同一形状となるように予め形成
されているため、内歯歯車と外歯歯車は、(歯数差が実
際はi でありながら)あたかも歯数差がj であるかのよ
うに完全に理論噛合することになる。
In addition, at the meshing portion, the external gear is deformed to the radius of curvature of the virtual external gear, and the tooth profile of the meshing portion is formed in advance so as to have the same shape as that of the virtual external gear. The internal gear and the external gear will be in perfect theoretical mesh (although the difference in the number of teeth is actually i) as if the difference in the number of teeth is j.

【0029】[0029]

【実施例】以下、図面を参照して本発明の実施例を詳細
に説明する。
Embodiments of the present invention will now be described in detail with reference to the drawings.

【0030】本実施例の歯車噛合構造では、外歯歯車1
28の形状及びこれに対応して偏心体123の形状が図
5、図6に示した従来技術(特開昭63−13094
9)と異なるだけで、基本的な構造は該従来技術と同一
である。よって重複説明は省略し、当該異なる部分のみ
符号を置き換えて説明する。
In the gear meshing structure of this embodiment, the external gear 1
28 and the shape of the eccentric body 123 corresponding thereto are shown in FIGS. 5 and 6 (Japanese Patent Laid-Open No. 63-13094).
The basic structure is the same as the prior art, except for 9). Therefore, redundant description will be omitted, and only different parts will be described by replacing the reference numerals.

【0031】図1は、本実施例の構造の主要部断面図で
あり、図5のVI−VI線断面に相当するものである。又、
図2は、内歯歯車132及び仮想外歯歯車134との噛
合関係を示したものである。
FIG. 1 is a sectional view of the main part of the structure of this embodiment, which corresponds to the section taken along the line VI-VI of FIG. or,
FIG. 2 shows a meshing relationship between the internal gear 132 and the virtual external gear 134.

【0032】なお、図8は、本発明と従来例との差を分
り易くするために、図1と同一の減速比を有する従来技
術を比較例として図示したものである。
Incidentally, FIG. 8 shows a conventional technique having the same reduction ratio as that of FIG. 1 as a comparative example in order to make it easier to understand the difference between the present invention and the conventional example.

【0033】外歯歯車128、内歯歯車132、及び仮
想外歯歯車134の関係は、以下のようになっている。
The relationship between the external gear 128, the internal gear 132, and the virtual external gear 134 is as follows.

【0034】まず、外歯歯車128の外歯131Aの歯
数(58)に対して、内歯歯車132の内歯(ピン)1
33Aの歯数(60)は2歯多い。即ち、歯数差i =6
0−58=2である。
First, with respect to the number of teeth (58) of the external teeth 131A of the external gear 128, the internal teeth (pins) 1 of the internal gear 132 are
The number of teeth (60) of 33A is two more. That is, the difference in the number of teeth i = 6
0-58 = 2.

【0035】一方、仮想外歯歯車134の歯数(56)
は、内歯歯車132の歯数(60)よりも4歯少ない。
即ち、j =60−56=4である(i <j )。
On the other hand, the number of teeth of the virtual external gear 134 (56)
Is four less than the number of teeth (60) of the internal gear 132.
That is, j = 60−56 = 4 (i <j).

【0036】前記外歯歯車128は、内歯歯車132の
内歯(ピン)133Aの歯数(60)に対して4歯だけ
少ない歯を持つ前記仮想外歯歯車134の「歯形」を基
準とし、これに同一形状の2歯を足して内歯歯車132
との歯数差を2にしたものである。
The external gear 128 is based on the "tooth profile" of the virtual external gear 134 having four teeth less than the number (60) of the internal teeth (pins) 133A of the internal gear 132. , Two teeth of the same shape are added to this, and the internal gear 132
The difference in the number of teeth with is 2.

【0037】このような関係を有する外歯歯車128の
外歯131Aと内歯歯車132の内歯133Aとは理論
的に正確な噛合を行うためには、該噛合部分での外歯歯
車128の曲率半径は、前記仮想外歯歯車134の曲率
半径に等しくなる必要がある。従って、この実施例で
は、図3に示されるように、外歯歯車128の噛合範囲
A1〜D1、B1〜C1の曲率半径を、外歯歯車128
の外歯131Aより更に2歯だけ少ない仮想外歯歯車1
34の曲率半径と同一に設定してある。この仮想外歯歯
車の曲率半径は、従来の外歯歯車128の曲率半径に対
し、仮想外歯歯車の歯数(56)/外歯歯車の歯数(5
8)だけ小さくなっている。
In order to achieve a theoretically accurate meshing between the external teeth 131A of the external gear 128 and the internal teeth 133A of the internal gear 132, which have such a relationship, the external gear 128 at the meshing portion. The radius of curvature needs to be equal to the radius of curvature of the virtual external gear 134. Therefore, in this embodiment, as shown in FIG. 3, the curvature radii of the meshing ranges A1 to D1 and B1 to C1 of the external gear 128 are set to the external gear 128.
Virtual external gear 1 which is two teeth less than the external teeth 131A of
It is set to be the same as the radius of curvature of 34. The radius of curvature of the virtual external gear is the number of teeth of the virtual external gear (56) / the number of teeth of the external gear (5) with respect to the radius of curvature of the conventional external gear 128.
8) Only smaller.

【0038】この仮想外歯歯車134の具体的な形状
は、転円と基円の半径比が整数であるエピトロコイド平
行曲線を、4個位相をずらせて重ね合わせ、この重なり
合った個々の曲線のうち、最も内側にある曲線部分を歯
形曲線としたものであり、前述したように特公昭58−
42382号公報により公知のものである。
The specific shape of the virtual external gear 134 is such that four epitrochoid parallel curves in which the radius ratio of the rolling circle and the base circle is an integer are overlapped with each other by shifting the phase, and the overlapped individual curves are formed. Of these, the innermost curved portion is a tooth profile curve.
It is known from Japanese Patent No. 42382.

【0039】即ち、この仮想外歯歯車134の形状は、
これを内接噛合遊星歯車装置(例:サイクロ減速機(登
録商標))に使用する場合、内歯歯車132の内歯13
3Aを歯数差4の(剛性を有した)外歯歯車として理論
噛合を行える形状となっている(図2参照)。
That is, the shape of the virtual external gear 134 is
When this is used in an internally meshing planetary gear device (eg, cyclo gear reducer (registered trademark)), the internal teeth 13 of the internal gear 132 are
3A is an external gear having a difference in the number of teeth of 4 (having rigidity) and has a shape capable of theoretical meshing (see FIG. 2).

【0040】この実施例に係る減速機及び図8に示した
比較例に係る減速機の減速比は、前述したように、双方
ともその外歯歯車128、128′の外歯131A、1
31A′が58、内歯歯車132、132′の内歯(ピ
ン)133A、133A′が60であるため、その歯数
差が2であり、従って両減速機共−2/58=−1/2
9となる。なお「−」は入出力が逆回転の関係になるこ
とを示している。
As described above, the reduction gear ratios of the speed reducer according to this embodiment and the speed reducer according to the comparative example shown in FIG. 8 are both external teeth 131A, 1A of the external gears 128, 128 ', as described above.
Since 31A 'is 58 and the internal teeth (pins) 133A, 133A' of the internal gears 132, 132 'are 60, the difference in the number of teeth is 2, so both speed reducers are -2 / 58 = -1 /. Two
It becomes 9. It should be noted that "-" indicates that the input and output have a reverse rotation relationship.

【0041】ところが、本実施例に係る減速機は、その
外歯の噛合範囲における変形後の形状が、現実には内歯
歯車132の歯数60より4歯少ない外歯歯車の変形後
のそれと同一とされている。従って、その分比較例に係
る減速機に対して外歯歯車128の変形されたときの全
体形状が長方形に近い形からより真円に近い形に変更さ
れている。このように、現実の歯数差(減速比)を変更
することなく、歯数差のより大きな組合せに係る歯形と
それに合せた変形曲線を採用することで変形抵抗を減じ
ることができる。しかも前述したように内歯歯車132
と外歯歯車128とは、あたかも歯数差j の組合せに係
る両者が噛合するように完全に理論噛合することにな
る。
However, in the speed reducer according to this embodiment, the deformed shape of the external teeth in the meshing range of the external gear is actually four less than the number of teeth 60 of the internal gear 132 after the deformation. It is the same. Therefore, the entire shape of the external gear 128 when deformed in the speed reducer according to the comparative example is changed from a shape close to a rectangle to a shape closer to a perfect circle. As described above, the deformation resistance can be reduced by changing the actual tooth number difference (reduction ratio) and adopting the tooth profile relating to the combination having a larger tooth number difference and the deformation curve matching the tooth profile. Moreover, as described above, the internal gear 132
The external gear 128 and the external gear 128 are completely theoretically meshed as if they are meshed with each other according to the combination of the tooth number difference j.

【0042】次に、図4に、本発明の第2実施例を示
す。この第2実施例との前記実施例との違いは、内歯歯
車の内歯としてピンを採用するのではなく、本体に直接
的に内歯を切削したものとしたことにある。この場合の
内歯は、前記仮想外歯歯車と理論噛合するように設定さ
れる。具体的には、この場合の内歯歯車232の内歯2
33A及び仮想外歯歯車の外歯(即ち現実の外歯歯車2
28の噛合部分における外歯231A)として、特願平
4−202295号(未公知)にて提案された歯形を採
用することができる。
Next, FIG. 4 shows a second embodiment of the present invention. The difference between the second embodiment and the above embodiment is that the internal teeth are cut directly on the main body, instead of using pins as the internal teeth of the internal gear. The internal teeth in this case are set so as to theoretically mesh with the virtual external gear. Specifically, the internal teeth 2 of the internal gear 232 in this case
33A and the external teeth of the virtual external gear (that is, the actual external gear 2
As the external tooth 231A) in the meshing portion of 28, the tooth profile proposed in Japanese Patent Application No. 4-202295 (unknown) can be adopted.

【0043】即ち、仮想外歯歯車と内歯歯車232との
歯数差をN(図4の例では2)とした場合、仮想外歯歯
車の歯形はN個のエピトロコイド平行曲線を位相をずら
せて重ね合わせたときにできる最も内側の曲線を基準に
して構成し、又内歯歯車232の歯形は、前記エピトロ
コイド平行曲線と噛合うN個のトロコイド内包絡線を、
前記仮想外歯歯車と同じだけ位相をずらせて重ね合せた
ときにできる最も内側の曲線を基準に構成したものであ
る。
That is, when the difference in the number of teeth between the virtual external gear and the internal gear 232 is N (2 in the example of FIG. 4), the tooth profile of the virtual external gear has N epitrochoid parallel curves in phase. The tooth profile of the internal gear 232 is composed of N inner trochoidal envelopes meshing with the epitrochoid parallel curve, which are formed by using the innermost curve formed when they are overlapped with each other.
It is configured based on the innermost curve formed when the virtual external gears are superposed with the same phase shift.

【0044】その他の構成については、前記実施例と基
本的に全く同一であるため、図中で同一部分に同一符号
を付すに止どめ、重複説明を省略する。
Since the other construction is basically the same as that of the above-described embodiment, the same reference numerals are allotted to the same portions in the drawings, and the duplicated description will be omitted.

【0045】なお、本発明を実施する場合は、例えば設
定する歯数差等によっては、外歯歯車が仮想外歯歯車と
同じ曲率半径の部分以外の部分で、内歯歯車と干渉し合
う場合が生ずることも考えられる。この場合は、この干
渉を防止するために、外歯歯車の歯先を適当に丸める等
の歯形修正を行うとよい。
When the present invention is carried out, the external gear may interfere with the internal gear at a portion other than the portion having the same radius of curvature as the virtual external gear, depending on the difference in the number of teeth to be set. May occur. In this case, in order to prevent this interference, it is preferable to correct the tooth profile by appropriately rounding the tip of the external gear.

【0046】又、上記2つの実施例ではいずれも内歯歯
車の内歯の歯数と外歯歯車の外歯の歯数の差i を2に設
定していたが、本発明ではこの歯数差i は2に限定され
るものではなく、1以上であれば適宜の数でよい。又、
前記仮想外歯歯車の歯数についても、本発明において
は、外歯歯車の外歯の実際の歯数よりも少なければ適宜
の数でよい。
In each of the above two embodiments, the difference i between the number of internal teeth of the internal gear and the number of external teeth of the external gear is set to 2, but in the present invention, this difference is set. The difference i is not limited to 2, and may be any number as long as it is 1 or more. or,
Also in the present invention, the number of teeth of the virtual external gear may be an appropriate number as long as it is smaller than the actual number of external teeth of the external gear.

【0047】[0047]

【発明の効果】以上説明した通り、本発明によれば、現
実の歯数差を少なく維持しながら、即ち減速比を大きく
確保しながら、実際の外歯歯車の形状をより歯数差の大
きな場合の形状とほぼ同じくすることができ、その分外
歯歯車の変形抵抗を小さくできるため、従来耐久性上こ
の変形抵抗によって制限されていた伝達可能トルクをよ
り増大させることができるようになるという優れた効果
が得られる。
As described above, according to the present invention, the actual external gear has a larger difference in the number of teeth while maintaining a small difference in the actual number of teeth, that is, while ensuring a large reduction ratio. The shape can be made almost the same as that of the case, and since the deformation resistance of the external gear can be reduced by that much, it becomes possible to further increase the transmissible torque which was limited by the deformation resistance in the conventional durability. Excellent effect can be obtained.

【0048】又、変形抵抗を少なくした分、外歯歯車に
おける発熱をより少なくすることができ、伝達効率をよ
り向上させることができるようになる。
Further, since the deformation resistance is reduced, heat generation in the external gear can be further reduced, and the transmission efficiency can be further improved.

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

【図1】本発明が適用された撓み噛合い式歯車噛合構造
の主要部を示す図6、あるいは図8相当の断面図
FIG. 1 is a sectional view corresponding to FIG. 6 or 8 showing a main part of a flexible meshing gear meshing structure to which the present invention is applied.

【図2】上記実施例における内歯歯車と仮想外歯歯車と
の噛合図
FIG. 2 is a meshing diagram of an internal gear and a virtual external gear in the above embodiment.

【図3】上記実施例における外歯歯車の変形前(撓み
前)及び変形後(撓み後)の関係を示す線図
FIG. 3 is a diagram showing the relationship between the external gear before deformation (before bending) and after deformation (after bending) in the above embodiment.

【図4】本発明の他の実施例を示す図1相当の断面図FIG. 4 is a sectional view corresponding to FIG. 1 showing another embodiment of the present invention.

【図5】従来の撓み噛合い式歯車噛合構造の一例の全体
構造を示す断面図(本実施例も歯数、歯形等を除けば基
本構造は同じ)
FIG. 5 is a cross-sectional view showing an overall structure of an example of a conventional flexible meshing gear meshing structure (this embodiment also has the same basic structure except for the number of teeth and tooth profile).

【図6】図5の矢示VI−VI線に沿う断面図6 is a sectional view taken along the line VI-VI in FIG.

【図7】従来の外歯歯車の変形前(撓み前)及び変形後
(撓み後)の関係を示す図3相当の線図
FIG. 7 is a diagram corresponding to FIG. 3 showing the relationship of a conventional external gear before deformation (before bending) and after deformation (after bending).

【図8】図1に示す本発明の実施例と同一の減速比を有
する従来例(比較例)を示す断面図
8 is a sectional view showing a conventional example (comparative example) having the same reduction ratio as that of the embodiment of the present invention shown in FIG.

【符号の説明】[Explanation of symbols]

123…偏心体(波動発生器) 128、228…外歯歯車 131A…外歯 132、232…内歯歯車 133A…内歯 134…仮想外歯歯車 140A…仮想外歯歯車の外歯 123 ... Eccentric body (wave generator) 128, 228 ... External gear 131A ... External teeth 132, 232 ... Internal gear 133A ... Internal teeth 134 ... Virtual external gear 140A ... External teeth of virtual external gear

Claims (1)

【特許請求の範囲】[Claims] 【請求項1】剛性を有した内歯歯車と、該内歯歯車に内
接噛合可能な可撓性を有した外歯歯車と、該外歯歯車を
撓み変形させることによって前記内歯歯車と外歯歯車と
の内接噛合を実現させる波動発生器と、を備えた撓み噛
合い式歯車噛合構造において、 前記内歯歯車と外歯歯車との歯数差をi としたときに、
前記内歯歯車との歯数差がi より大きなj で(i <j
)、且つ該内歯歯車と内接噛合する剛性を有した仮想
外歯歯車を想定し、 前記外歯歯車の歯形を、該外歯歯車が撓んだ結果、内歯
歯車と噛合する部分において前記仮想外歯歯車の歯形と
等しくなる形状に形成すると共に、 該外歯歯車の内歯歯車と噛合する部分における変形曲率
を、前記仮想外歯歯車の曲率と等しく設定したことを特
徴とする撓み噛合い式歯車噛合構造。
1. An internal gear having rigidity, an external gear having flexibility capable of being internally meshed with the internal gear, and the internal gear having the external gear flexibly deformed. In a flexural meshing gear meshing structure including a wave generator that achieves internal meshing with an external gear, when the difference in the number of teeth between the internal gear and the external gear is i,
If the difference in the number of teeth from the internal gear is larger than i (i <j
), And assuming a virtual external gear having rigidity that meshes internally with the internal gear, the tooth profile of the external gear is a portion that meshes with the internal gear as a result of bending of the external gear. The flexure is formed in a shape that is equal to the tooth profile of the virtual external gear, and the deformation curvature of the portion of the external gear that meshes with the internal gear is set to be equal to the curvature of the virtual external gear. Meshing gear meshing structure.
JP446393A 1993-01-14 1993-01-14 Flexible mesh gear meshing structure Expired - Fee Related JP2771415B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP446393A JP2771415B2 (en) 1993-01-14 1993-01-14 Flexible mesh gear meshing structure

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP446393A JP2771415B2 (en) 1993-01-14 1993-01-14 Flexible mesh gear meshing structure

Publications (2)

Publication Number Publication Date
JPH06213287A true JPH06213287A (en) 1994-08-02
JP2771415B2 JP2771415B2 (en) 1998-07-02

Family

ID=11584835

Family Applications (1)

Application Number Title Priority Date Filing Date
JP446393A Expired - Fee Related JP2771415B2 (en) 1993-01-14 1993-01-14 Flexible mesh gear meshing structure

Country Status (1)

Country Link
JP (1) JP2771415B2 (en)

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2009299765A (en) * 2008-06-12 2009-12-24 Sumitomo Heavy Ind Ltd Flexible meshing-type gear device
JP2013100911A (en) * 2013-01-28 2013-05-23 Sumitomo Heavy Ind Ltd Flexible meshing type gear device and method for determining tooth profile of flexible meshing type gear device

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP5256249B2 (en) * 2010-06-18 2013-08-07 住友重機械工業株式会社 Bending gear system

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2009299765A (en) * 2008-06-12 2009-12-24 Sumitomo Heavy Ind Ltd Flexible meshing-type gear device
JP2013100911A (en) * 2013-01-28 2013-05-23 Sumitomo Heavy Ind Ltd Flexible meshing type gear device and method for determining tooth profile of flexible meshing type gear device

Also Published As

Publication number Publication date
JP2771415B2 (en) 1998-07-02

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