JP2016011675A5

JP2016011675A5 -

Info

Publication number: JP2016011675A5
Application number: JP2014132185A
Authority: JP
Filing date: 2014-06-27
Publication date: 2017-07-06
Anticipated expiration: 2034-06-27

Description

前記第１の曲面の前記断面に現れる曲線は、インボリュート曲線を変形した曲線で表されることが好ましく、前記曲線は、
x = a(cosθ+θ^b・sinθ)/α、
y = a(sinθ-θcosθ)/β、
a、b、α、βは定数、
なる関係式を用いて表されることがより好ましい。
The curve appearing in the cross section of the first curved surface is preferably represented by a curve obtained by deforming an involute curve,
x = a (cosθ + θ ^b・ sinθ) / α,
y = a (sinθ- θcosθ ) / β,
a, b, α, β are constants,
More preferably, it is expressed using the following relational expression.

曲率半径（R）が連続的に増加する曲線としては、例えば、インボリュート曲線が挙げられる。インボリュート曲線は、円に巻き付けた糸をぴんと張った状態でほどいていくときの糸の端点が描く軌跡をいい、
x = cosθ+θsinθ
y = sinθ-θcosθ
で表されるが、本発明のピストンリングの外周摺動面の第１の曲面(2)に適した曲率変化とするためには、上記曲線をパラメータa、b、α、βを用いて変形し、
x = a(cosθ+θ^b・sinθ)/α
y = a(sinθ-θcosθ)/β
a、b、α、βは定数
なる関係式で表される曲線（変形インボリュート曲線）を用いることが好ましい。ここで、a、b、α、βは適用するピストンリングに応じて適宜設定できるが、aは3000〜10000、bは2〜3、αは1〜2、βは1〜5とすることが好ましい。上記関係式の座標軸を所定量回転し、且つ所定量平行移動することにより、例えばx軸をa1方向（リング軸に垂直な方向）、y軸をh1方向（リング軸方向）として、第１の曲面(2)の頂点を原点とした曲線を描くことができる。
An example of the curve in which the radius of curvature (R) continuously increases is an involute curve. The involute curve refers to the trajectory drawn by the end points of the yarn as it is unwound while tightly winding the yarn wrapped around a circle.
x = cosθ + θsinθ
y = sinθ-θcosθ
In order to obtain a curvature change suitable for the first curved surface (2) of the outer peripheral sliding surface of the piston ring of the present invention, the above curve is deformed using parameters a, b, α, and β. And
x = a (cosθ + θ ^b・ sinθ) / α
y = a (sinθ- θcosθ ) / β
For a, b, α, and β, it is preferable to use curves (deformed involute curves) represented by constant relational expressions. Here, a, b, α, and β can be appropriately set according to the piston ring to be applied, but a is 3000 to 10000, b is 2 to 3, α is 1 to 2, and β is 1 to 5 preferable. By rotating the coordinate axis of the relational expression by a predetermined amount and translating by a predetermined amount, for example, the first axis is set to the a1 direction (direction perpendicular to the ring axis) and the y axis is set to the h1 direction (ring axis direction). A curve with the vertex of the curved surface (2) as the origin can be drawn.

仕上研磨により形成した外周摺動面の第１の曲面は、
x = a(cosθ+θ^b・sinθ)/α
y = a(sinθ-θcosθ)/β
a = 6000、b = 3、α= 1、β= 1.5
なる変形インボリュート曲線を用い、第１の曲面の頂点（燃焼室側上側面から3.5 mmの距離とした）が座標軸の原点となるように、上記変形インボリュート曲線の座標軸を適宜回転させ、平行移動して描いている。また、この場合、下側面から0.5 mmの位置の曲率半径が70 mm、頂点位置の曲率半径が300 mm、上側面から0.5 mmの位置の曲率半径が460 mmとなる。この形状に成形した成形砥石を用いて、第１の曲面を形成し、上下側面から0.5 mmの領域は面取り加工を施し、仕上研磨を完了した。また、燃焼室側の外周摺動面の後退量（t）は0.009 mmで、呼び径（d1）の0.002％であった。 The first curved surface of the outer peripheral sliding surface formed by finish polishing is
x = a (cosθ + θ ^b・ sinθ) / α
y = a (sinθ- θcosθ ) / β
a = 6000, b = 3, α = 1, β = 1.5
Using the deformed involute curve, the coordinate axis of the deformed involute curve is appropriately rotated and translated so that the apex of the first curved surface (with a distance of 3.5 mm from the combustion chamber side upper surface) is the origin of the coordinate axis. I draw. In this case, the radius of curvature at a position 0.5 mm from the lower side is 70 mm, the radius of curvature at the apex position is 300 mm, and the radius of curvature at a position 0.5 mm from the upper side is 460 mm. A first curved surface was formed by using a forming grindstone molded in this shape, and a region 0.5 mm from the upper and lower side surfaces was chamfered to complete the finish polishing. The retreat amount (t) of the outer peripheral sliding surface on the combustion chamber side was 0.009 mm, which was 0.002% of the nominal diameter (d1).

Claims

4. The piston ring according to claim 3, wherein the curve is
x = a (cosθ + θ ^b・ sinθ) / α
y = a (sinθ- θcosθ ) / β
A piston ring, wherein a, b, α, and β are represented using a constant relational expression.