JPS5846260A - Gear arrangement - Google Patents
Gear arrangementInfo
- Publication number
- JPS5846260A JPS5846260A JP14417781A JP14417781A JPS5846260A JP S5846260 A JPS5846260 A JP S5846260A JP 14417781 A JP14417781 A JP 14417781A JP 14417781 A JP14417781 A JP 14417781A JP S5846260 A JPS5846260 A JP S5846260A
- Authority
- JP
- Japan
- Prior art keywords
- gears
- gear
- distance
- intermeshing
- becomes constant
- 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
Links
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
- 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
- F16H55/0806—Involute profile
-
- 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
- F16H2055/0893—Profiling for parallel shaft arrangement of toothed members
Abstract
Description
【発明の詳細な説明】 本発明は歯車装置の改良に関する。[Detailed description of the invention] TECHNICAL FIELD The present invention relates to improvements in gear devices.
従来、歯車装置のかみあい中心距離はそのかみあう歯車
のモジュール、歯数、工具圧力角、かみあい正角より算
出されるが、実際(;歯車を支える軸の軸間距離を前記
算出値と完全(ニ一致させるのは製作上不可能である。Conventionally, the meshing center distance of a gear device is calculated from the module, number of teeth, tool pressure angle, and square meshing angle of the meshing gears. It is impossible to match them due to manufacturing reasons.
しかし歯車装置≦二おいては上記軸間距離(=よってバ
ックラッシュ量が決まってしまい、パブクラッシュ量は
その大小が斯る歯車装置の精度、振動C:大きな影響を
及ば丁ので、適量のパブクラッシュを設定することは非
常C;重要となっている。以上のよう(=歯車装置(”
:、#ける軸間距離の調整は必要不可欠のものであるが
、その調整は該歯車装置の構成部材の手直しやスペーサ
ーの選定など(;よる甚だ手数のかかるものであった。However, when the gear device is ≦2, the amount of backlash is determined by the distance between the shafts (==), and the amount of pub crush is determined by the size of the gear device. It is very important to set the crash.As mentioned above (= gear mechanism ("
Although it is essential to adjust the distance between the shafts of the gears, such adjustment requires a considerable amount of time and effort, such as modifying the components of the gear device and selecting spacers.
本発明は斯る従来事情(=鑑みてなされたもので、その
目的とする処は歯車を軸方向に僅かずら丁こと6二よっ
て軸間距離がかみあい中心距離Cニ一致され、且つバッ
クラッシュ量を容易(二調整できる歯車装置を提供する
こと(二ある。The present invention has been made in view of the conventional circumstances, and its purpose is to slightly shift the gears in the axial direction, so that the distance between the shafts is matched to the meshing center distance C, and the amount of backlash is reduced. Providing a gear system that can be easily adjusted (two).
本発明実施の一例を第1図により説明すれば、本発明の
歯車装置は円錐台形状−二形成されたインポリュー)平
歯車(1)、伐)により構成さnている。An example of the embodiment of the present invention will be described with reference to FIG. 1. The gear device of the present invention is constituted by a spur gear (1) formed in a truncated conical shape.
該歯車(1)、 (2)は共にその小径側端部と大径側
端部で転位置が異なる正転位歯車とされ、該歯幅(b)
間の転位量の変化率が一定になるように形成される。The gears (1) and (2) are both normal gears with different rotational positions at the small diameter end and the large diameter end, and the face width (b)
They are formed so that the rate of change in the amount of dislocations between them is constant.
即ち、図中1・ΔIは前記歯車(1)、 (2)の転位
量の変化を示し、該変化率をm・ムx/bと丁れば、m
−Ax、15が一定とされる。That is, in the figure, 1·ΔI indicates the change in the amount of dislocation of the gears (1) and (2), and if the rate of change is expressed as m·mu x/b, then m
-Ax, 15 is assumed to be constant.
またm・轟x/bが一定となることによって歯幅(−間
の任意の位置において、両歯車(1)、 (2)のかみ
あい中心距離(a)が一定となる。このかみあい中心距
離(〜は、
2工:歯車U)の歯数
Z3:歯車(2)の歯数
m:歯車(1)およびC)のモジュール(■)a:歯車
(1)と(2)のかみあい中心距離(Ill)α:歯車
(1)および(2)の工具圧力角(dog、)α0:歯
車(1)および(2)のかみあい圧力角(dog、)と
丁れば
2aosα。Also, by keeping m・Todoroki x/b constant, the meshing center distance (a) of both gears (1) and (2) becomes constant at any position between the face width (-).This meshing center distance ( ~ is 2nd gear: Number of teeth of gear U) Z3: Number of teeth of gear (2) m: Module (■) of gears (1) and C) a: Distance between meshing centers of gears (1) and (2) ( Ill) α: Tool pressure angle (dog,) of gears (1) and (2) α0: Meshing pressure angle (dog, ) of gears (1) and (2) equals 2aosα.
となる。(11式中、モジュール(ml、歯車(1)の
歯数(Zユ)、歯車(2)の歯数(zl)、工具圧加(
α)は歯車の設計により決定する定数であるが、かみあ
い圧力角(0゜)は歯車(1)、(21のかみあい状態
C:よって変化する変数であるので、かみあい中心短路
1alはかみあい圧力角(α。)だけの関数となる。becomes. (In formula 11, module (ml), number of teeth of gear (1) (Zyu), number of teeth of gear (2) (zl), tool pressure (
α) is a constant determined by the design of the gear, but the meshing pressure angle (0°) is a variable that changes depending on the meshing state C of gears (1) and (21), so the meshing center short path 1al is the meshing pressure angle It becomes a function of only (α.).
次6二かみあい圧力角(α。)は
Xよ:歯車(1)の転位係数
x3:歯車(2)の転位係数
f:パックラッシュ瞳(III)
と丁れば
I□+”m”2amm−α
1rrV(に)=細α −・・・
(2)2□ +2゜
となる。上記(21式中、工具圧力角−、モジュール(
−1歯車(1)の歯数■、)、歯車(2)の歯数(2,
)は歯車の設計により決定する定数であり、バックラッ
シュ量(f)も該歯車装置の用途と精度に基づき最適値
が示されるので定数と考えることができる。即ち上記c
2)式は歯車(1)、(2)の転位係数の和0□十M、
)だけの関数となる。以上より歯車(1)、(2)(:
おいて、歯車(11,(21の転位係数の和(X□十X
、)が一定C二なるよう(=、両歯車(1)、 (21
の転位量を設定してやれば、かみあい圧力角(α。)が
一定となる。The following 6 two-mesh pressure angle (α.) is X: Shift coefficient of gear (1) x 3: Shift coefficient of gear (2) f: Packlash pupil (III) So, I□+”m”2am- α 1rrV (ni) = Thin α −...
(2) 2□ +2°. Above (in formula 21, tool pressure angle -, module (
-1 Number of teeth of gear (1) ■, ), Number of teeth of gear (2) (2,
) is a constant determined by the design of the gear, and the amount of backlash (f) can also be considered a constant since the optimum value is indicated based on the purpose and accuracy of the gear device. That is, the above c
2) Equation is the sum of the shift coefficients of gears (1) and (2), 0□10M,
) is the only function. From the above, gears (1), (2) (:
, the sum of the shift coefficients of gears (11, (21)
, ) is constant C2 (=, both gears (1), (21
If the amount of dislocation is set, the meshing pressure angle (α) becomes constant.
そして、前述の如くかみあい中心距離(−はかみあい圧
力角口。)だけの関数であるので、歯車(1)、(2)
の転位係数の和(x、+x、)を一定(=設定すること
響=よってかみあい中心距離(&)が一定となる。As mentioned above, since it is a function only of the meshing center distance (-meshing pressure angle opening), gears (1) and (2)
By setting the sum of the dislocation coefficients (x, +x,) to be constant, the meshing center distance (&) is therefore constant.
歯車(11、(2)の転位係数の和(X□+x、)はm
−xよ:歯車(1)の転位量 (M)m−I工
。二歯車α)の最小転位量 (■)m” Xs :
歯車(2)(D転位量 (wm )m ’ X
so :歯車セ)の最小転位量 (III)m・Δ
X:歯幅(b)間の転位量の変化 (IIB)h :
歯車α)の小径側端部からの軸方向の距離
(■)
と丁れば
mix、 = m@x1゜+ −・m・ΔI−x
、= x、。梵・Δx−=・・・・−(3)m@Xll
=m”X、。+ll11八X−b ”m ” x・°・
xl =x80+ x−r 11m ・ΔN−−−・
−(4)となり、(3)式と(4)式の各辺の和よりI
□+】竪、=Xよ◎+ I麿。+ Δ I ・・・・
・・ (5)となる、上記(5)式において、歯車
(1)の小端径の転位係数(Xユ。)歯車は)の小端径
の転位係数(X、)は歯車の設計C:より決定する定数
であり、また歯幅(b)間の転位量の変化率型・Δx/
bは一定C:形成してあり、モジュール(m)、歯幅(
b)が定数であるから、歯幅(b1間の転位量の変化を
示す転位係数(ΔX)は当然定数である。以上より、歯
車(1)、(2)の転位係数の和(xl+x、)が一定
となり、かみあい中心距離(a)はそのかみあう歯幅(
b1間の任意の位置c2いて一定となる。The sum of the shift coefficients (X□+x,) of gear (11, (2)) is m
-x: Amount of dislocation of gear (1) (M)m-I engineering. Minimum shift amount of two gears α) (■)m”Xs:
Gear (2) (D dislocation amount (wm) m'
so: Minimum amount of dislocation of gear (III) m・Δ
X: Change in dislocation amount between face width (b) (IIB) h:
Axial distance from the small diameter end of gear α)
(■) Mix, = m@x1゜+ −・m・ΔI−x
,=x,. Sanskrit・Δx-=・・・・-(3)m@Xll
=m”X,.+ll118X-b “m” x・°・
xl = x80+ x-r 11m ・ΔN----・
−(4), and from the sum of each side of equations (3) and (4), I
□+】Vertical, =X yo◎+ Imaro. +ΔI・・・・・・
... (5) In the above equation (5), the shift coefficient (X, ) of the small end diameter of gear (1) is the shift coefficient (X, ) of the small end diameter of gear (1). : It is a constant determined by the change rate type of dislocation amount between face width (b)・Δx/
b is constant C: formed, module (m), tooth width (
Since b) is a constant, the shift coefficient (ΔX) that indicates the change in shift amount between the tooth width (b1) is naturally a constant. From the above, the sum of the shift coefficients of gears (1) and (2) (xl+x, ) becomes constant, and the meshing center distance (a) is determined by the meshing tooth width (
An arbitrary position c2 between b1 becomes constant.
次に第2実施例を第2図(二より説明子れば、本実施例
では何れか一方の歯車(4)の歯幅ω4)を他方の歯車
(3)の歯幅ω、)より大きくしである。Next, the second embodiment is shown in FIG. It is.
即ち、前記各歯車(3)、(4)を軸方向嬬二移動させ
た際、歯車(3)が歯幅1lb4)内でかみあうようC
二して伝達強度を高めている。そして歯車(3)の歯幅
(b、)間の転位量の変化率m・ΔI3/′bIと、歯
車(4)の歯幅(b4)の転位量の変化率m・ムxa/
b4を一定にすることによってかみあう歯幅間の転位量
の変化率を一定(:することができ、かみあい中心距離
(a)Y一定にすることができる。That is, when each of the gears (3) and (4) is moved two degrees in the axial direction, C is set so that the gear (3) meshes within a face width of 1 lb4).
Second, the transmission strength is increased. Then, the rate of change in the amount of dislocation between the face width (b, ) of gear (3) m・ΔI3/′bI and the rate of change in the amount of dislocation between the face width (b4) of gear (4) m・muxa/
By keeping b4 constant, the rate of change in the amount of dislocation between the meshing tooth widths can be made constant (:), and the meshing center distance (a) Y can be made constant.
Claims (1)
化率が一定C二形成された歯車よりなる歯車装置。A gear device comprising a gear in which the change rate of the amount of displacement between the tooth widths of the shifted gear is constant.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP14417781A JPS5846260A (en) | 1981-09-12 | 1981-09-12 | Gear arrangement |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP14417781A JPS5846260A (en) | 1981-09-12 | 1981-09-12 | Gear arrangement |
Publications (1)
Publication Number | Publication Date |
---|---|
JPS5846260A true JPS5846260A (en) | 1983-03-17 |
Family
ID=15355989
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
JP14417781A Pending JPS5846260A (en) | 1981-09-12 | 1981-09-12 | Gear arrangement |
Country Status (1)
Country | Link |
---|---|
JP (1) | JPS5846260A (en) |
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPS63110343U (en) * | 1986-10-27 | 1988-07-15 | ||
GB2373304A (en) * | 2001-02-20 | 2002-09-18 | Bryan Nigel Victor Parsons | Tapered involute gear profile |
JP2012082893A (en) * | 2010-10-12 | 2012-04-26 | Toyota Central R&D Labs Inc | Involute gear pair |
-
1981
- 1981-09-12 JP JP14417781A patent/JPS5846260A/en active Pending
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPS63110343U (en) * | 1986-10-27 | 1988-07-15 | ||
GB2373304A (en) * | 2001-02-20 | 2002-09-18 | Bryan Nigel Victor Parsons | Tapered involute gear profile |
JP2012082893A (en) * | 2010-10-12 | 2012-04-26 | Toyota Central R&D Labs Inc | Involute gear pair |
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