JPH0139052B2 - - Google Patents
Info
- Publication number
- JPH0139052B2 JPH0139052B2 JP1933881A JP1933881A JPH0139052B2 JP H0139052 B2 JPH0139052 B2 JP H0139052B2 JP 1933881 A JP1933881 A JP 1933881A JP 1933881 A JP1933881 A JP 1933881A JP H0139052 B2 JPH0139052 B2 JP H0139052B2
- Authority
- JP
- Japan
- Prior art keywords
- tooth profile
- curve
- pressure angle
- meshing
- circular gear
- 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.)
- Expired
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01F—MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME
- G01F3/00—Measuring the volume flow of fluids or fluent solid material wherein the fluid passes through the meter in successive and more or less isolated quantities, the meter being driven by the flow
- G01F3/02—Measuring the volume flow of fluids or fluent solid material wherein the fluid passes through the meter in successive and more or less isolated quantities, the meter being driven by the flow with measuring chambers which expand or contract during measurement
- G01F3/04—Measuring the volume flow of fluids or fluent solid material wherein the fluid passes through the meter in successive and more or less isolated quantities, the meter being driven by the flow with measuring chambers which expand or contract during measurement having rigid movable walls
- G01F3/06—Measuring the volume flow of fluids or fluent solid material wherein the fluid passes through the meter in successive and more or less isolated quantities, the meter being driven by the flow with measuring chambers which expand or contract during measurement having rigid movable walls comprising members rotating in a fluid-tight or substantially fluid-tight manner in a housing
- G01F3/10—Geared or lobed impeller meters
Landscapes
- Physics & Mathematics (AREA)
- Fluid Mechanics (AREA)
- General Physics & Mathematics (AREA)
- Measuring Volume Flow (AREA)
Description
【発明の詳細な説明】
この発明は噛合圧力角の変化が少くしかも摩耗
の少い耐久性のある新規な非円形歯車を用いた容
積型流量計に関する。DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a positive displacement flowmeter using a novel non-circular gear that exhibits less variation in meshing pressure angle, less wear, and is durable.
一般に、容積型流量計に回転子として用いられ
る非円形歯車(商標名オーバルと呼ばれる楕円形
歯車)の歯形は、インボリユート歯形として形成
され、しかもピツチ曲線と転がり接触をする基準
ラツク歯形は圧力角を一定とする直線である。即
ち、第1図ないし第4図に示す従来例の楕円形歯
車に係る構造解析図について説明すれば、前述の
ピツチ曲線lと転がり接触をする基準ラツク歯形
曲線gは圧力角αを一定とする直線である。 In general, the tooth profile of a non-circular gear (elliptical gear known as the trade name OVAL) used as a rotor in a positive displacement flow meter is formed as an involute tooth profile, and the reference rack tooth profile that makes rolling contact with the pitch curve has a pressure angle. It is a straight line that is constant. That is, to explain the structural analysis diagrams of conventional elliptical gears shown in FIGS. 1 to 4, the standard rack tooth profile curve g that makes rolling contact with the pitch curve l has a constant pressure angle α. It is a straight line.
このために、非円形ピツチ曲線lの瞬間中心o
(ピツチ曲線の曲率中心)に対して歯形が刻まれ、
この瞬間中心oに於ける噛合圧力角αcは近似的に
通常の内歯車と同一の構成を備える。 For this, the instantaneous center o of the non-circular pitch curve l
A tooth profile is carved against (the center of curvature of the pitch curve),
The meshing pressure angle α c at this instantaneous center o has approximately the same configuration as a normal internal gear.
しかしながら、楕円形歯車の回転中心o′に対す
る噛合圧力角α′cは、ピツチ曲線lの接線角をσ
とすると、
α′c=β′±(π/2−σ)+α ……()
となり、特にピツチ点Pに於ては
α′=α±(π/2−σ) ……()
となる。従つて、αの値が一定であると、ピツチ
曲線l上に歯付けをするときの各ピツチ点Pの接
線角σによつて、一方の歯形は噛合圧力角が大き
くなり、他方の歯形は小さく負になることもあ
る。 However, the meshing pressure angle α′ c with respect to the rotation center o′ of the elliptical gear is the tangent angle of the pitch curve l to σ
Then, α' c = β'± (π/2-σ) + α ... (), and especially at pitch point P, α' = α± (π/2-σ) ... () . Therefore, if the value of α is constant, depending on the tangent angle σ of each pitch point P when teeth are placed on the pitch curve l, one tooth profile will have a larger meshing pressure angle, and the other tooth profile will have a larger meshing pressure angle. It can also be small and negative.
この回転中心o′に対する噛合圧力角α′cが負に
なる現象は、楕円形歯車独特のもので、αc>0の
場合は、中心距離が大きくなる方向(正方向)に
軸力Pd(Pd>0)が働くが、αc<0の場合はPd
<0で中心距離を縮める方向に力が働き(クサビ
効果)、円滑な回転を阻害し、騒音、振動の原因
を生ずるばかりでなく、流量計の器差性能(特に
少流特性)に重大な影響を及ぼす。 This phenomenon in which the meshing pressure angle α' c with respect to the center of rotation o' becomes negative is unique to elliptical gears. When α c > 0, the axial force Pd ( Pd > 0) works, but if α c < 0 then Pd
<0, a force acts in the direction of reducing the center distance (wedge effect), which not only impedes smooth rotation and causes noise and vibration, but also has a serious effect on the instrumental error performance (especially low flow characteristics) of the flowmeter. affect.
この発明は叙上の点に着目して成されたもので
各歯形の歯付位置に対応して、夫々異なつた基準
ラツク歯形を想定し、理想的な噛合関係を保持す
るよう構成し、特に噛合圧力角αcが負にならない
ようにした非円形歯車を用いた容積型流量計を得
ることを目的とする。また、この発明の他の目的
とするところは非円形歯車の扁平度の小さい、す
なわち円歯車に近いものでは、ピツチ点に於ける
回転中心の噛合圧力角が一定となるように構成す
るようにした非円形歯車を用いた容積型流量計を
提供することにある。 This invention has been made by focusing on the above points, and is designed to assume different reference rack tooth profiles corresponding to the toothed positions of each tooth profile, and to maintain an ideal meshing relationship. The purpose of this invention is to obtain a positive displacement flowmeter using non-circular gears in which the meshing pressure angle α c is not negative. Another object of the present invention is to construct a non-circular gear with a small flatness, that is, one close to a circular gear, so that the meshing pressure angle of the center of rotation at the pitch point is constant. An object of the present invention is to provide a positive displacement flowmeter using a non-circular gear.
以下にピツチ曲線lがρ=a/1−b cos2θで表
わされる商標名オーバルと呼ばれる楕円形歯車に
ついてこの発明の実施例を述べる。 An embodiment of the present invention will be described below regarding an elliptical gear called OVAL, whose pitch curve l is expressed by ρ=a/1−b cos 2θ.
まず、第5図に示す実施例は扁平度の大きいピ
ツチ曲線lを備える一実施例で図示された左半分
にこの発明に係る歯形曲線gを形成し右半分は従
来の歯形曲線gを比較するために抽出してある。
このとき、b=0.3、z=26(zは歯数)とした。
符号1〜13及び1′〜13′は夫々の歯形部の位
置を示す。 First, the embodiment shown in FIG. 5 is an embodiment having a pitch curve l with a large degree of flatness, and the tooth profile curve g according to the present invention is formed in the left half of the diagram, and the conventional tooth profile curve g is formed in the right half. It has been extracted for the purpose.
At this time, b=0.3 and z=26 (z is the number of teeth).
Reference numerals 1 to 13 and 1' to 13' indicate the positions of the respective tooth profiles.
従来の楕円歯車の回転中心噛合圧力角α′cはα
=20゜とすると第6図のようになり、偶数歯の噛
合圧力角は負になることがあり、特に歯形部6の
噛合圧力角は歯形上全て負のかみ合いとなる。 The rotation center meshing pressure angle α′ c of a conventional elliptical gear is α
If = 20 degrees, the result will be as shown in Fig. 6, and the meshing pressure angle of even-numbered teeth may be negative, and in particular, the meshing pressure angle of the tooth profile portion 6 is all negative in terms of the tooth profile.
ところで、この発明にあつては非円形歯車のピ
ツチ曲線上に刻まれる歯形曲線の実質部が常に回
転中心方向に歯付けすることにより、歯形部1〜
13の位置をできるだけ回転中心o′の方向に向
け、噛合圧力角α′cの変化を少なくすると共にさ
らに絶対に負にならないように構成している。即
ち、奇数の歯形部1′,3′,5′,7′,9′,1
1′,13′は、サイクロイド曲線を用いることに
よつて、噛合圧力角α′cの増加を防ぎ(ピツチ点
に於ける噛合圧力角がπ/2−σ)偶数の歯形部
2′,4′,6′,8′,10′,12′は、インボリ
ユート歯形(瞬間中心圧力角αの大きい)で噛合
圧力角α′cを増加させて負になることを防いでい
る。また一対で噛合させた場合、噛合関係の歯形
部1′と13′、2′と12′、3′と11′、4′と
10′、5′と9′、6′と8′、7′と7′とは互い
に相接触するので、インボリユート歯形の場合は
瞬間中心方向圧力角αを共有し、サイクロイド歯
形の場合は、その転り円を共有関係に保つ必要が
ある。 By the way, in this invention, the substantial part of the tooth profile curve carved on the pitch curve of the non-circular gear is always toothed in the direction of the rotation center, so that the tooth profile parts 1 to 1.
13 is directed as far as possible toward the center of rotation o', thereby minimizing changes in the meshing pressure angle α'c and ensuring that it never becomes negative. That is, the odd number of tooth profile parts 1', 3', 5', 7', 9', 1
1' and 13' prevent the increase in the meshing pressure angle α'c by using a cycloid curve (the meshing pressure angle at the pitch point is π/2-σ), and the tooth profile parts 2' and 4 are even numbers. ', 6', 8', 10', and 12' are involute tooth profiles (large instantaneous center pressure angle α) that increase the meshing pressure angle α′ c to prevent it from becoming negative. In addition, when a pair of teeth are meshed, meshing tooth sections 1' and 13', 2' and 12', 3' and 11', 4' and 10', 5' and 9', 6' and 8', 7 Since ' and 7' are in phase contact with each other, in the case of an involute tooth profile, they share the instantaneous central direction pressure angle α, and in the case of a cycloid tooth profile, it is necessary to keep their rolling circles in a shared relationship.
このようにして、計算した結果の回転中心噛合
圧力角α′cを第7図に示すが、これは最小噛合圧
力角α′cmin=0の条件で求めたものである。 The rotation center engagement pressure angle α' c calculated in this way is shown in FIG. 7, which was obtained under the condition that the minimum engagement pressure angle α' c min=0.
この実施例によれば前述した第6図の従来例と
異なり、すべての歯形部1′〜13′の噛合圧力角
α′cは正となり、無理なく円滑に噛合回転させる
ことができる。 According to this embodiment, unlike the conventional example shown in FIG. 6 described above, the meshing pressure angle α' c of all the tooth profile portions 1' to 13' is positive, and smooth meshing rotation can be achieved.
つぎに第8図について扁平度が小さいピツチ曲
線に基づく他の実施例を説明する。この実施例も
第5図と同様に図示された左半分にこの発明に係
る歯形を形成し右半分に従来の歯形を比較するた
めに抽出してある。すなわち、歯数が前述の実施
例と同数であるがbの値の比較的小さい場合、例
えばb=0.15の実施例を示している。 Next, another embodiment based on a pitch curve with a small degree of flatness will be described with reference to FIG. In this embodiment, similarly to FIG. 5, the tooth profile according to the present invention is formed on the left half of the figure, and the conventional tooth profile is extracted on the right half for comparison. That is, an example is shown in which the number of teeth is the same as in the previous embodiment, but the value of b is relatively small, for example, b=0.15.
この場合では、ピツチ点に於ける回転中心噛合
圧力角を一定(=20゜)とすることができ、夫々
の歯付位置に関して、α=20゜〓(π/2−σ)と
し、偶数歯はインボリユート歯形、奇数個はイン
ボリユートとサイクロイドの合成歯形とすること
により、回転中心噛合圧力角の変化の少ない楕円
形歯車を得ることができる。なお、第9図には従
来の歯車の噛合圧力角α′cの変化を示してあり、
負のかみ合いが生ずるが本実施例では第10図の
とおり噛合圧力角α′cはすべて正のかみ合いとな
り前述の実施例と同様の作用効果を呈することが
できる。 In this case, the rotation center meshing pressure angle at the pitch point can be kept constant (=20°), and α=20°〓(π/2−σ) for each toothed position, and even number teeth By using an involute tooth profile and an odd number of teeth having a composite tooth profile of an involute and a cycloid, it is possible to obtain an elliptical gear with little change in the meshing pressure angle at the center of rotation. Furthermore, Fig. 9 shows the change in the meshing pressure angle α′ c of a conventional gear.
Although negative meshing occurs, in this embodiment, as shown in FIG. 10, all meshing pressure angles α' c become positive meshing, and the same effects as in the previous embodiments can be obtained.
なお、上述した二実施例は、図示された左半分
の構成を左右上下に線対称、斜方向に点対称とし
て組合せることにより求める楕円形歯車を得るこ
とができる。 In addition, in the two embodiments described above, the desired elliptical gear can be obtained by combining the configurations of the left half shown in the drawings with line symmetry in the horizontal and vertical directions and point symmetry in the diagonal direction.
以上述べた二つの実施例で示される楕円歯車は
その軸方向の肉厚を大きくして所望の計量空間を
占める流量計本体内に二個一対を回転自在に収納
することにより所望の容積型流量計を得ることが
できる。 The elliptical gears shown in the two embodiments described above have a large wall thickness in the axial direction and are rotatably housed in pairs within the flow meter body occupying the desired measurement space, thereby achieving the desired volumetric flow rate. You can get the meter.
また、以上の実施例ではこの発明に係る非円形
歯車を、楕円形歯車とした場合についてのみ記述
したが全く同様にして三葉、四葉などの非円形歯
車として得ることもできる。 Further, in the above embodiments, only the case where the non-circular gear according to the present invention is an elliptical gear has been described, but it is also possible to obtain a non-circular gear such as a three-lobed or four-lobed gear in exactly the same manner.
この発明によれば、そのピツチ曲線に刻まれる
歯形が回転中心方向に歯付けされているので噛合
いに無理がなく、円歯車と同様に噛合回転させる
ことができ、したがつて、噛合音を小さくして滑
らかな回転を行わせることができると共に耐久性
を著しく向上できるので、回転子として容積型流
量計に用いた場合は回転抵抗を軽減して測定精度
を猶一層長期に亘り保持できる効果がある。 According to this invention, since the tooth profile carved on the pitch curve is toothed in the direction of the rotation center, there is no unreasonable meshing, and meshing and rotation can be performed in the same manner as circular gears. Therefore, meshing noise can be reduced. It can be made small and rotate smoothly, and its durability can be significantly improved, so when used as a rotor in a positive displacement flowmeter, it has the effect of reducing rotational resistance and maintaining measurement accuracy for an even longer period of time. There is.
第1図ないし第4図は従来の楕円形歯車の構造
解析を示した図、第5図はこの発明に係る非円形
歯車の一実施例と従来例の歯車とを合成した比較
説明図、第6図および第7図は同上の噛合圧力角
のそれぞれのグラフ、第8図はこの発明に係る非
円形歯車の他の実施例と従来例の歯車とを合成し
た比較説明図、第9図および第10図は同上の噛
合圧力角のそれぞれのグラフである。
1〜13……従来の楕円形歯車の歯形部、1′
〜13′……この発明に係る楕円形歯車の歯形部、
l……ピツチ曲線、o……瞬間中心、o′……回転
中心、αc,α′c……噛合圧力角。
1 to 4 are diagrams showing structural analysis of a conventional elliptical gear, and FIG. 6 and 7 are respective graphs of meshing pressure angles as above, FIG. 8 is a comparative explanatory diagram combining other embodiments of the non-circular gear according to the present invention and a conventional gear, and FIG. 9 and FIG. 10 is a graph of the meshing pressure angles of the same as above. 1 to 13...Tooth profile of conventional oval gear, 1'
~13′...Tooth profile portion of the elliptical gear according to the present invention,
l...Pitch curve, o...Momentary center, o'...Rotation center, αc , α'c ...Meshing pressure angle.
Claims (1)
線の実質部が常に回転中心方向に歯付けされた非
円形歯車を2個噛合させるように回転子として組
込んだことを特徴とする非円形歯車を用いた容積
型流量計。 2 歯形曲線がインボリユート曲線で構成された
ことを特徴とする特許請求の範囲第1項記載の非
円形歯車を用いた容積型流量計。 3 歯形曲線がサイクロイド曲線で構成されたこ
とを特徴とする特許請求の範囲第1項記載の非円
形歯車を用いた容積型流量計。 4 歯形曲線がインボリユート曲線とサイクロイ
ド曲線の合成曲線で構成されたことを特徴とする
特許請求の範囲第1項記載の非円形歯車を用いた
容積型流量計。[Scope of Claims] 1. Two non-circular gears are incorporated as a rotor so that the substantial part of the tooth profile curve carved on the pitch curve of the non-circular gear always meshes with each other in the direction of the center of rotation. A positive displacement flowmeter using a characteristic non-circular gear. 2. A positive displacement flowmeter using a non-circular gear according to claim 1, wherein the tooth profile curve is an involute curve. 3. A positive displacement flowmeter using a non-circular gear according to claim 1, wherein the tooth profile curve is a cycloid curve. 4. A positive displacement flowmeter using a non-circular gear according to claim 1, wherein the tooth profile curve is a composite curve of an involute curve and a cycloid curve.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP1933881A JPS57133320A (en) | 1981-02-12 | 1981-02-12 | Non-circular gear and flowmeter thereby |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP1933881A JPS57133320A (en) | 1981-02-12 | 1981-02-12 | Non-circular gear and flowmeter thereby |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS57133320A JPS57133320A (en) | 1982-08-18 |
| JPH0139052B2 true JPH0139052B2 (en) | 1989-08-17 |
Family
ID=11996609
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP1933881A Granted JPS57133320A (en) | 1981-02-12 | 1981-02-12 | Non-circular gear and flowmeter thereby |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS57133320A (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2005017001A (en) * | 2003-06-24 | 2005-01-20 | Oval Corp | Non-circular gear, and positive-displacement meter using the same |
Families Citing this family (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS5879118A (en) * | 1981-11-05 | 1983-05-12 | Oval Eng Co Ltd | Volumetric flowmeter using stepped gear and leaf type stepped gear |
| JPH067326Y2 (en) * | 1986-12-26 | 1994-02-23 | オ−バル機器工業株式会社 | Volumetric flow meter |
| DE69027027T2 (en) * | 1990-08-20 | 1996-09-26 | Oval Eng Co Ltd | Volumetric displacement flow meter |
| US8312785B2 (en) * | 2008-06-20 | 2012-11-20 | Graco Minnesota Inc. | Involute gear teeth for fluid metering device |
-
1981
- 1981-02-12 JP JP1933881A patent/JPS57133320A/en active Granted
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2005017001A (en) * | 2003-06-24 | 2005-01-20 | Oval Corp | Non-circular gear, and positive-displacement meter using the same |
Also Published As
| Publication number | Publication date |
|---|---|
| JPS57133320A (en) | 1982-08-18 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| EP0286760B1 (en) | Cycloidal equidistant curved gear transmission mechanism and its device | |
| CN110131382B (en) | Backlash-free roller enveloping toroidal worm drive | |
| US4155686A (en) | Hydrostatic intermeshing gear machine with substantially trochoidal tooth profile and one contact zone | |
| JP4252614B1 (en) | Volumetric flow meter and helical gear | |
| JPH0139052B2 (en) | ||
| JPS63130961A (en) | Non-backlash gear wheel | |
| JP2000065163A (en) | Gear profile calculating device and method used for shaft-driven device | |
| JPH1089443A (en) | Elliptic gear | |
| CN112377594A (en) | Sectional type point-line meshing gear pair | |
| CN117006230A (en) | An opposed gear rack and pinion pair with constant meshing characteristics | |
| JPH0215743B2 (en) | ||
| CN112377595A (en) | Inner meshing helical gear pair based on space conjugate curve | |
| JPH067326Y2 (en) | Volumetric flow meter | |
| JPH05296159A (en) | Positive displacement rotor | |
| CN212509200U (en) | Slide constant-length U-shaped internal-folding rotating mechanism | |
| KR101190388B1 (en) | Positive displacement flowmeter | |
| CN109711098B (en) | Design method of involute arc tooth profile straight bevel gear and gear meshing pair | |
| JP3620997B2 (en) | Improvement of non-circular gear and non-circular gear type flow meter using the same | |
| JPH0781895B2 (en) | Volumetric flow meter | |
| CN222229336U (en) | Roller screw | |
| JPS5832649B2 (en) | Positive displacement flowmeter | |
| CN1096573A (en) | Very few teeth helical gear tooth profile | |
| JPS623691Y2 (en) | ||
| JPS586131B2 (en) | Positive displacement flowmeter rotor | |
| JPS62223485A (en) | Multiple-point continuous contact gear for internal gear type fluid pump |