JP6173838B2 - Rolling elements and roller bearings - Google Patents

Rolling elements and roller bearings Download PDF

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JP6173838B2
JP6173838B2 JP2013178839A JP2013178839A JP6173838B2 JP 6173838 B2 JP6173838 B2 JP 6173838B2 JP 2013178839 A JP2013178839 A JP 2013178839A JP 2013178839 A JP2013178839 A JP 2013178839A JP 6173838 B2 JP6173838 B2 JP 6173838B2
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耕平 戸田
耕平 戸田
直樹 中杤
直樹 中杤
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Description

この発明は、ころ軸受の転動体およびころ軸受に関し、例えば、一般産業用機械等に適用される技術に関する。   The present invention relates to a rolling element of a roller bearing and a roller bearing, for example, to a technique applied to a general industrial machine.

ころ軸受で使用されるころからなる転動体の転動面には、面取りエッジ応力による軸受異常を防止する目的でクラウニングが設けられているのが一般的である。しかし、近年は軸受が使用されるアプリケーションの小型化や高性能化により軸受に負荷される荷重は増大する傾向にあり、クラウニングのドロップ量も大きくなってきている。   Generally, a crowning is provided on a rolling surface of a rolling element made of a roller used in a roller bearing for the purpose of preventing bearing abnormality due to chamfered edge stress. However, in recent years, the load applied to the bearing tends to increase due to the downsizing and high performance of applications in which the bearing is used, and the amount of crowning drop is also increasing.

一方、クラウニングのドロップ量が増大すると、クラウニング接線の傾きも大きくなることから、クラウニングと転動体外径面ストレート部との交点で角部ができる。このため、この角部の部分での接触応力が大きくなり軸受寿命が低下する恐れがある。
この問題に対し、図8に示すように、フルクラウニング形状による角部の緩和(特許文献1)や、図9に示すように、対数曲線形状により端面に行くに従って曲率半径を大きくする(特許文献2)などの対策をとっている。
On the other hand, when the amount of drop of crowning increases, the inclination of the crowning tangent also increases, so that a corner is formed at the intersection of the crowning and the rolling element outer diameter straight portion. For this reason, the contact stress at the corners increases, and the bearing life may be reduced.
To solve this problem, as shown in FIG. 8, the corners are relaxed by a full crowning shape (Patent Document 1), and as shown in FIG. 9, the radius of curvature is increased toward the end face by a logarithmic curve shape (Patent Document). 2) and other measures are taken.

実開平4−95318号公報Japanese Utility Model Publication No. 4-95318 特許第4429842号公報Japanese Patent No. 4429842

しかし、前記対策では、どの程度のクラウニングにすれば内部エッジ応力を抑制することができるかが明確ではなかった。   However, in the above countermeasure, it is not clear how much crowning can be used to suppress the internal edge stress.

この発明の目的は、接触応力の増大による軸受寿命に影響を与える角部の程度を明確にすることで重荷重条件下での軸受寿命の低下を防止することができる転動体およびころ軸受を提供することである。   An object of the present invention is to provide a rolling element and a roller bearing that can prevent a decrease in bearing life under heavy load conditions by clarifying the degree of corners that affect bearing life due to increased contact stress. It is to be.

この発明の転動体は、ころ形状を成し外周のころ転動面の端部に端部クラウニング部が形成され、前記ころ転動面における前記端部クラウニング部よりも中央側の部分が外径面ストレート部または中央クラウニング部とされ、ころ軸受に用いられる転動体において、
前記ころ形状のころ軸心を含む平面で切断した見た断面で、前記ころ転動面の軸方向長さであるころ有効長さLeの領域の、前記端部クラウニング部の少なくとも一部を含むころ軸方向に0.1Leの任意の範囲内で、
任意の3点P1,P2,P3を取り出し、点P1と点P2とを結ぶ直線L1と、点P1と点P3とを結ぶ直線L2との成す角度θを179.7°以上としたことを特徴とする。
The rolling element of the present invention has a roller shape, an end crowning portion is formed at the end of the outer roller rolling surface, and a portion of the roller rolling surface that is closer to the center than the end crowning portion has an outer diameter. In the rolling element used for roller bearings, it is a surface straight part or central crowning part,
In a cross section viewed along a plane including the roller-shaped roller axis, the roller includes a roller effective length Le that is an axial length of the roller rolling surface, and includes at least a part of the end crowning portion. Within an arbitrary range of 0.1 Le in the roller axial direction,
Arbitrary three points P1, P2, and P3 are taken out, and an angle θ formed by a straight line L1 connecting the points P1 and P2 and a straight line L2 connecting the points P1 and P3 is set to 179.7 ° or more. And

ころ軸受で使用される転動体の外径面にはクラウニングが設けられているのが一般的であるが、面取り位置でのクラウニングドロップ量が増大すると、外径面ストレート部と端部クラウニング部の成す角度が小さくなり、交点に角が発生する。また、端部クラウニング部が2つの円弧を繋ぐ場合には、外径面ストレート部に繋がる1つ目の円弧の半径を大きくすれば、その1つ目の円弧と外径面ストレート部との成す角度を大きくすることができる。しかし、1つ目の円弧と2つ目の円弧との成す角度は小さな角度となってしまう。   In general, the outer diameter surface of the rolling element used in the roller bearing is provided with a crowning. However, if the amount of crowning drop at the chamfering position increases, The formed angle becomes smaller and an angle is generated at the intersection. Further, when the end crowning portion connects two arcs, if the radius of the first arc connected to the outer surface straight portion is increased, the first arc and the outer surface straight portion are formed. The angle can be increased. However, the angle formed by the first arc and the second arc is a small angle.

そこで、軸受寿命に影響を与える角度を明確にするために、角度と転動面エッジ応力の関係を検討した。
クラウニング幅と最大ドロップ量(有効長さ位置でのドロップ量)を固定した複数の端部クラウニング部形状を作製し、それぞれの円筒ころにつき、定められた条件で荷重を負荷した場合のころ軸方向の面圧分布を計算した。そうすると、ころ転動面における角部の角度と応力比には反比例の相関関係がみられた。これより、角部の角度が大きい方が発生応力が小さくなり、軸受寿命に与える影響も軽微であることが判る。また応力比がα(α=1.1、最大応力に対してα倍)を超えると、軸受寿命への影響が懸念される。前記「応力比」は、角部で発生した転動面エッジ応力値を、エッジ応力(面取りエッジ応力と転動面エッジ応力)を除く最大応力値で除して求められる。
Therefore, in order to clarify the angle that affects the bearing life, the relationship between the angle and the rolling surface edge stress was examined.
Roller axial direction when the crowning width and the maximum drop amount (drop amount at the effective length position) are fixed, and the end crowning part shape is made, and each cylindrical roller is loaded under a specified condition. The surface pressure distribution was calculated. Then, an inversely proportional correlation was found between the angle of the corner on the roller rolling surface and the stress ratio. From this, it can be seen that the larger the angle of the corner portion, the smaller the generated stress and the less the influence on the bearing life. If the stress ratio exceeds α (α = 1.1, α times the maximum stress), there is a concern about the influence on the bearing life. The “stress ratio” is obtained by dividing the rolling surface edge stress value generated at the corner by the maximum stress value excluding edge stress (chamfer edge stress and rolling surface edge stress).

この構成によると、ころ有効長さLeの領域の、端部クラウニング部の少なくとも一部を含むころ軸方向に0.1Leの任意の範囲内で、任意の3点P1,P2,P3を取り出し、点P1と点P2とを結ぶ直線L1と、点P1と点P3とを結ぶ直線L2との成す角度θを179.7°以上とした。計算結果より角部の角度θが179.7°以上であれば、応力比α以下となるため、重荷重条件下での軸受寿命の低下を防止することができる。
前記外径面ストレート部または前記中央クラウニング部と前記端部クラウニング部との交点を成す点P1と、前記外径面ストレート部または前記中央クラウニング部上の任意の点P2と、前記端部クラウニング部上の任意の点P3とを取り出しても良い。
According to this configuration, any three points P1, P2, and P3 are taken out within an arbitrary range of 0.1 Le in the roller axial direction including at least a part of the end crowning portion in the region of the roller effective length Le, An angle θ formed by a straight line L1 connecting the points P1 and P2 and a straight line L2 connecting the points P1 and P3 is set to 179.7 ° or more. From the calculation results, if the angle θ of the corner is 179.7 ° or more, the stress ratio α is less than or equal to, so that it is possible to prevent a decrease in bearing life under heavy load conditions.
A point P1 forming an intersection of the outer diameter surface straight portion or the central crowning portion and the end crowning portion, an arbitrary point P2 on the outer diameter surface straight portion or the central crowning portion, and the end crowning portion You may take out arbitrary upper points P3.

前記転動体が、円筒ころ、針状ころ、棒状ころ、または円錐ころであっても良い。
この発明のころ軸受は、いずれかに記載の転動体を組み込んだものである。前記いずれかの転動体を組み込んだころ軸受を使用することで、内部エッジ応力を抑制し軸受寿命の低下を防止し得るため、軸受を交換する等のメンテナンスに要する費用を低減することができる。
The rolling element may be a cylindrical roller, a needle roller, a rod roller, or a tapered roller.
A roller bearing according to the present invention incorporates any of the rolling elements. By using the roller bearing in which any one of the rolling elements is incorporated, the internal edge stress can be suppressed and the bearing life can be prevented from being lowered. Therefore, the cost required for maintenance such as replacement of the bearing can be reduced.

この発明の転動体の設計方法は、ころ形状を成し外周のころ転動面の端部に端部クラウニング部が形成され、前記ころ転動面における前記端部クラウニング部よりも中央側の部分が外径面ストレート部または中央クラウニング部とされ、ころ軸受に用いられる転動体を設計する転動体の設計方法において、
前記ころ形状のころ軸心を含む平面で切断した見た断面で、前記ころ転動面の軸方向長さであるころ有効長さLeの領域の、前記端部クラウニング部の少なくとも一部を含むころ軸方向に0.1Leの任意の範囲内で、
任意の3点P1,P2,P3を取り出し、点P1と点P2とを結ぶ直線L1と、点P1と点P3とを結ぶ直線L2との成す角度θを179.7°以上としたことを特徴とする。
In the rolling element design method of the present invention, a roller shape is formed, an end crowning portion is formed at an end of an outer roller rolling surface, and a portion of the roller rolling surface that is closer to the center than the end crowning portion. In the design method of the rolling element, the outer diameter surface straight part or the central crowning part is designed and the rolling element used for the roller bearing is designed.
In a cross section viewed along a plane including the roller-shaped roller axis, the roller includes a roller effective length Le that is an axial length of the roller rolling surface, and includes at least a part of the end crowning portion. Within an arbitrary range of 0.1 Le in the roller axial direction,
Arbitrary three points P1, P2, and P3 are taken out, and an angle θ formed by a straight line L1 connecting the points P1 and P2 and a straight line L2 connecting the points P1 and P3 is set to 179.7 ° or more. And

この構成によると、点P1と点P2とを結ぶ直線L1と、点P1と点P3とを結ぶ直線L2との成す角度θを179.7°以上としたことで応力比α以下となるため、重荷重条件下での軸受寿命の低下を防止することができる。   According to this configuration, since the angle θ formed by the straight line L1 connecting the point P1 and the point P2 and the straight line L2 connecting the point P1 and the point P3 is 179.7 ° or more, the stress ratio α or less is obtained. A reduction in bearing life under heavy load conditions can be prevented.

この発明の転動体は、ころ形状を成し外周のころ転動面の端部に端部クラウニング部が形成され、前記ころ転動面における前記端部クラウニング部よりも中央側の部分が外径面ストレート部または中央クラウニング部とされ、ころ軸受に用いられる転動体において、前記ころ形状のころ軸心を含む平面で切断した見た断面で、前記ころ転動面の軸方向長さであるころ有効長さLeの領域の、前記端部クラウニング部の少なくとも一部を含むころ軸方向に0.1Leの任意の範囲内で、任意の3点P1,P2,P3を取り出し、点P1と点P2とを結ぶ直線L1と、点P1と点P3とを結ぶ直線L2との成す角度θを179.7°以上としたため、接触応力の増大による軸受寿命に影響を与える角部の程度を明確にすることで重荷重条件下での軸受寿命の低下を防止することができる。   The rolling element of the present invention has a roller shape, an end crowning portion is formed at the end of the outer roller rolling surface, and a portion of the roller rolling surface that is closer to the center than the end crowning portion has an outer diameter. A roller that is a face straight portion or a central crowning portion, and is a roller body used in a roller bearing, and is a cross-section viewed along a plane including the roller-shaped roller shaft center and having an axial length of the roller rolling surface. Three arbitrary points P1, P2, and P3 are taken out within an arbitrary range of 0.1 Le in the roller axial direction including at least a part of the end crowning portion in the region of the effective length Le, and the points P1 and P2 Since the angle θ formed by the straight line L1 connecting the straight line L1 and the straight line L2 connecting the point P1 and the point P3 is 179.7 ° or more, the degree of the corner that affects the bearing life due to the increase in contact stress is clarified. Shaft under heavy load conditions It is possible to prevent a decrease in the service life.

この発明の第1の実施形態に係る転動体の正面図である。It is a front view of a rolling element concerning a 1st embodiment of this invention. 同転動体の要部の拡大断面図である。It is an expanded sectional view of the important section of the rolling element. φ12mm×14mmにおける角度と内部エッジ応力の関係を示す図である。It is a figure which shows the relationship between the angle in (phi) 12 mm x 14 mm, and internal edge stress. φ24mm×38mmにおける角度と内部エッジ応力の関係を示す図である。It is a figure which shows the relationship between the angle in (phi) 24 mm x 38 mm, and internal edge stress. この発明の他の実施形態に係る転動体の要部の拡大断面図である。It is an expanded sectional view of the important section of the rolling element concerning other embodiments of this invention. この発明のさらに他の実施形態に係る転動体の要部の拡大断面図である。It is an expanded sectional view of the important section of the rolling element concerning other embodiments of this invention. この発明のいずれかの転動体を組み込んだころ軸受の断面図である。It is sectional drawing of the roller bearing incorporating any rolling element of this invention. 従来例の転動体の要部の拡大断面図である。It is an expanded sectional view of the principal part of the rolling element of a prior art example. 他の従来例の転動体の要部の拡大断面図である。It is an expanded sectional view of the principal part of the rolling element of another conventional example.

この発明の第1の実施形態に係る転動体を図1ないし図4と共に説明する。実施形態の転動体はころ軸受に用いられる「ころ」であり、ころ軸受は、例えば、一般産業用機械等に適用される。但し、ころ軸受は、一般産業用機械以外の用途に適用しても良い。なお以下の説明は、転動体の設計方法についての説明をも含む。   A rolling element according to a first embodiment of the present invention will be described with reference to FIGS. The rolling element of the embodiment is a “roller” used for a roller bearing, and the roller bearing is applied to, for example, a general industrial machine. However, the roller bearing may be applied to uses other than general industrial machines. In addition, the following description also includes the description about the design method of a rolling element.

図1は、実施形態に係るころ1の正面図である。同図1に示すように、この実施形態に係るころ1は、外周のころ転動面1aが図示しない内外輪の軌道面に転動される。ころ転動面1aは、中央側の部分が円筒面からなる外径面ストレート部1aaとされ、この外径面ストレート部1aaに繋がる両端部に、端部クラウニング部1abがそれぞれ形成されている。ころ転動面1aと、軸方向両側のころ端面1bとの間には、面取り1cが設けられている。   FIG. 1 is a front view of the roller 1 according to the embodiment. As shown in FIG. 1, in the roller 1 according to this embodiment, an outer roller rolling surface 1a is rolled to a raceway surface of inner and outer rings (not shown). The roller rolling surface 1a is an outer diameter straight portion 1aa having a central portion formed of a cylindrical surface, and end crowning portions 1ab are formed at both ends connected to the outer diameter straight portion 1aa. A chamfer 1c is provided between the roller rolling surface 1a and the roller end surfaces 1b on both axial sides.

ころ軸受で使用されるころの外径面には、クラウニングが設けられているのが一般的であるが、面取り位置でのクラウニングドロップ量が増大すると、図2に示すように、外径面ストレート部1aaと端部クラウニング部1abの成す角度θが小さくなり、交点に角が発生する。また、後述する図5に示すように、端部クラウニング部1abが2つの円弧を繋ぐ場合には、外径面ストレート部1aaに繋がる1つ目の円弧の半径R1を大きくすれば、その1つ目の円弧と外径面ストレート部1aaとの成す角度θ1を大きくすることができる。しかし、前記1つ目の円弧と、この円弧に繋がる2つ目の円弧との成す角度θ2は小さな角度となってしまう。   Generally, the outer diameter surface of the roller used in the roller bearing is provided with a crowning, but when the amount of crowning drop at the chamfering position increases, the outer diameter surface straight as shown in FIG. The angle θ formed by the portion 1aa and the end crowning portion 1ab is reduced, and an angle is generated at the intersection. Further, as shown in FIG. 5 described later, when the end crowning portion 1ab connects two arcs, if the radius R1 of the first arc connected to the outer diameter surface straight portion 1aa is increased, one of them is increased. The angle θ1 formed by the arc of the eye and the outer diameter surface straight portion 1aa can be increased. However, the angle θ2 formed by the first arc and the second arc connected to the arc becomes a small angle.

そこで、軸受寿命に影響を与える角度を明確にするために、角度と転動面エッジ応力の関係を検討した。
先ず、φ12mm×14mmの複数個の円筒ころにおいて、クラウニング幅と最大ドロップ量(有効長さ位置でのドロップ量)を固定した複数の端部クラウニング部形状を作製し、それぞれの円筒ころにつき、軸受動定格荷重Crの30%、ミスアライメント:2/1000の条件で荷重を負荷した場合のころ軸方向の面圧分布を計算した。
計算結果を図3に示す。同図3の横軸は、ころ転動面における角部の角度θであり、同図3の縦軸は応力比を表す。前記「応力比」=(角部で発生した転動面エッジ応力値)÷{エッジ応力(面取りエッジ応力と転動面エッジ応力)を除く最大応力値}
Therefore, in order to clarify the angle that affects the bearing life, the relationship between the angle and the rolling surface edge stress was examined.
First, in a plurality of cylindrical rollers of φ12 mm × 14 mm, a plurality of end crowning shapes having a fixed crowning width and a maximum drop amount (drop amount at an effective length position) are prepared, and a bearing is provided for each cylindrical roller. The surface pressure distribution in the roller axial direction when the load was applied under the condition of 30% of the dynamic load rating Cr and misalignment: 2/1000 was calculated.
The calculation results are shown in FIG. 3 represents the angle θ of the corner portion on the roller rolling surface, and the vertical axis in FIG. 3 represents the stress ratio. “Stress ratio” = (Rolling surface edge stress value generated at corner) ÷ {Maximum stress value excluding edge stress (chamfer edge stress and rolling surface edge stress)}

前記と同様の条件でφ24mm×38mmの円筒ころでころ軸方向の面圧分布を計算した場合の計算結果を図4に示す。図3、図4に示すように、いずれのころにおいても、ころ転動面における角部の角度と応力比には反比例の相関関係がみられた。これより、角部の角度が大きい方が発生応力が小さくなり、軸受寿命に与える影響も軽微であることが判る。また応力比が1.1(最大応力に対して1.1倍)を超えると、軸受寿命への影響が懸念される。   FIG. 4 shows the calculation results when the surface pressure distribution in the roller axial direction is calculated with a cylindrical roller of φ24 mm × 38 mm under the same conditions as described above. As shown in FIGS. 3 and 4, in any of the rollers, an inversely proportional correlation was found between the angle of the corner portion on the roller rolling surface and the stress ratio. From this, it can be seen that the larger the angle of the corner portion, the smaller the generated stress and the less the influence on the bearing life. On the other hand, if the stress ratio exceeds 1.1 (1.1 times the maximum stress), the bearing life may be affected.

応力比1.1の理由について説明する。
寿命を計算する際の動等価荷重Pは応力の0.5乗に比例する。よって寿命は、動等価荷重Pの−10/3乗に比例する。これより、微視的なエッジが立つ領域では、応力が10%増えると、(√1.1)(−10/3)=0.85となり、寿命は15%低下する。
上記の計算は、微視的な領域の寿命であり、軸受寿命として考えた場合には、軸方向の分割幅と転動体個数が計算式に含まれるため、軸受型番毎に異なり、軸受寿命の減少は上記の計算とは異なる。
The reason for the stress ratio 1.1 will be described.
The dynamic equivalent load P when calculating the life is proportional to the 0.5th power of the stress. Therefore, the life is proportional to the -10/3 power of the dynamic equivalent load P. As a result, in the region where the microscopic edge stands, when the stress increases by 10%, (√1.1) ( −10/3 ) = 0.85, and the lifetime decreases by 15%.
The above calculation is the life of the microscopic region, and when considered as the bearing life, the axial division width and the number of rolling elements are included in the calculation formula. The decrease is different from the above calculation.

図3、図4の計算結果より、両型番とも角部の角度θが179.7°以上であれば、応力比1.1以下となる。すなわち、図1および図2に示すように、ころ1をころ軸心Laを含む平面で切断して見た断面で、ころ転動面1aの軸方向長さであるころ有効長さLeの端部クラウニング部1abの少なくとも一部を含むころ軸方向に0.1Leの任意の範囲内で、点P1,P2,P3を取り出し、点P1と点P2とを結ぶ直線L1と、点P1と点P3とを結ぶ直線L2との成す角度θを179.7°以上とした。   From the calculation results of FIG. 3 and FIG. 4, the stress ratio is 1.1 or less if the angle θ of the corner is 179.7 ° or more for both model numbers. That is, as shown in FIG. 1 and FIG. 2, the end of the roller effective length Le, which is the axial length of the roller rolling surface 1 a, in a cross section obtained by cutting the roller 1 along a plane including the roller axis La. The points P1, P2, and P3 are taken out within an arbitrary range of 0.1 Le in the roller axis direction including at least a part of the portion crowning portion 1ab, and the straight line L1 that connects the points P1 and P2, and the points P1 and P3 The angle θ formed by the straight line L2 connecting the two points to 179.7 ° or more.

角部の角度θが179.7°以上であれば、応力比1.1以下となるため、重荷重条件下での軸受寿命の低下を防止することができる。前記点P1は、外径面ストレート部1aaと端部クラウニング部1abとの交点を成す点であり、前記点P2は、外径面ストレート部1aa上の任意の点であり、前記点P3は、端部クラウニング部1ab上の任意の点である。なお、外径面ストレート部1aaと端部クラウニング部1abとの交点P1は、丸めることが好ましいが、その場合でも応力集中は起こるため、角度θを179.7°以上とする必要がある。   If the angle θ of the corner portion is 179.7 ° or more, the stress ratio is 1.1 or less, so that it is possible to prevent a decrease in bearing life under heavy load conditions. The point P1 is a point forming the intersection of the outer diameter surface straight portion 1aa and the end crowning portion 1ab, the point P2 is an arbitrary point on the outer diameter surface straight portion 1aa, and the point P3 is It is an arbitrary point on the end crowning portion 1ab. The intersection P1 between the outer diameter surface straight portion 1aa and the end crowning portion 1ab is preferably rounded. However, stress concentration occurs even in this case, so the angle θ needs to be 179.7 ° or more.

0.1Leとする理由について説明する。
微視的な応力集中を議論するため、角度を定義する3点を取る範囲は狭くする必要がある。
The reason for 0.1Le will be described.
In order to discuss the microscopic stress concentration, it is necessary to narrow the range of the three points that define the angle.

3点を取る範囲は上記より狭くする必要があるが、あまり狭いと次のような問題がある。
・実際にころを測定し、3点の成す角を求める場合に、粗さやうねりの成分が入ってくる。
・実際に測定した際に3点のドロップ量の差が出にくい(測定誤差を考慮しドロップ量差が1μm程度は必要と考える)。
上記より3点を取る範囲は、最低でも0.1Leは必要であると考えた。
The range of 3 points needs to be narrower than the above, but if it is too narrow, there are the following problems.
・ Roughness and undulation components are included when the roller is actually measured to determine the angle formed by three points.
-It is difficult to produce a difference in drop amount at three points when actually measured (considering a measurement error, a drop amount difference of about 1 μm is necessary).
From the above, it was considered that a range of 3 points is required to be at least 0.1 Le.

他の実施形態について説明する。
以下の説明においては、各形態で先行する形態で説明している事項に対応している部分には同一の参照符を付し、重複する説明を略する。構成の一部のみを説明している場合、構成の他の部分は、特に記載のない限り先行して説明している形態と同様とする。同一の構成から同一の作用効果を奏する。実施の各形態で具体的に説明している部分の組合せばかりではなく、特に組合せに支障が生じなければ、実施の形態同士を部分的に組合せることも可能である。
Another embodiment will be described.
In the following description, the same reference numerals are given to the portions corresponding to the matters described in the preceding forms in each embodiment, and the overlapping description is omitted. When only a part of the configuration is described, the other parts of the configuration are the same as those described in advance unless otherwise specified. The same effect is obtained from the same configuration. Not only the combination of the parts specifically described in each embodiment, but also the embodiments can be partially combined as long as the combination does not hinder.

図5に示すように、複数(この例では2つ)の端部クラウニング部を有するころ1についても、角部の角度θ1,θ2をそれぞれ179.7°以上とする。この実施形態のころ1は、外径面ストレート部1aaの端部に、順次、第1,第2の端部クラウニング部1ac,1adが繋がっている。また例えば第2の端部クラウニング部1adの曲率半径R2は、第1の端部クラウニング部1acの曲率半径R1よりも大きく設定されている。点P1は、外径面ストレート部1aaと第1の端部クラウニング部1acとの交点を成す点である。点P3は、第1の端部クラウニング部1ac上の任意の点である。   As shown in FIG. 5, also for the roller 1 having a plurality of (two in this example) end crowning portions, the angles θ1 and θ2 of the corner portions are set to 179.7 ° or more, respectively. In the roller 1 of this embodiment, first and second end crowning portions 1ac and 1ad are sequentially connected to the end portion of the outer diameter surface straight portion 1aa. Further, for example, the curvature radius R2 of the second end crowning portion 1ad is set larger than the curvature radius R1 of the first end crowning portion 1ac. The point P1 is a point that forms an intersection between the outer diameter surface straight portion 1aa and the first end crowning portion 1ac. The point P3 is an arbitrary point on the first end crowning portion 1ac.

また第1の端部クラウニング部1acと第2の端部クラウニング部1adとの交点を成す点P4と、第2の端部クラウニング部1ad上の任意の点P5を取り出す。前述の実施形態と同様に、点P1と点P2とを結ぶ直線L1と、点P1と点P3とを結ぶ直線L2との成す角度θ1を179.7°以上とする。さらに点4と点P3とを結ぶ直線L3と、点P4と点P5とを結ぶ直線L4との成す角度θ2を179.7°以上とすることで、応力比1.1以下となるため、軸受寿命の低下を防止し得る。   Further, a point P4 forming an intersection of the first end crowning portion 1ac and the second end crowning portion 1ad and an arbitrary point P5 on the second end crowning portion 1ad are taken out. Similarly to the above-described embodiment, the angle θ1 formed by the straight line L1 connecting the points P1 and P2 and the straight line L2 connecting the points P1 and P3 is set to 179.7 ° or more. Furthermore, since the angle θ2 formed by the straight line L3 connecting the point 4 and the point P3 and the straight line L4 connecting the point P4 and the point P5 is 179.7 ° or more, the stress ratio becomes 1.1 or less. It is possible to prevent a decrease in life.

前記各実施形態では、ころ転動面における端部クラウニング部よりも中央側の部分を、外径面ストレート部としているが、この例に限定されるものではない。例えば、図6に示すように、ころ転動面1aの前記中央側の部分を、曲率半径R3から成る中央クラウニング部1aeとし、この中央クラウニング部1aeに、曲率半径R4から成る端部クラウニング部1abが繋がる構成としても良い。この場合にも、直線L1と直線L2との成す角度θ3を179.7°以上とすることで、応力比1.1以下となるため、軸受寿命の低下を防止し得る。
単一または複数の直線または円弧で構成されるクラウニングに適用しても良く、クラウニング形状には依存しない。
In each said embodiment, although the center side part from the edge part crowning part in a roller rolling surface is made into the outer-diameter surface straight part, it is not limited to this example. For example, as shown in FIG. 6, the central portion of the roller rolling surface 1a is a central crowning portion 1ae having a radius of curvature R3, and an end crowning portion 1ab having a radius of curvature R4 is formed in the central crowning portion 1ae. It is good also as a structure which connects. Also in this case, by setting the angle θ3 formed by the straight line L1 and the straight line L2 to 179.7 ° or more, the stress ratio becomes 1.1 or less, so that a reduction in bearing life can be prevented.
The present invention may be applied to a crowning composed of a single line or a plurality of straight lines or arcs, and does not depend on the crowning shape.

図7は、前記各実施形態のいずれかの転動体を組み込んだころ軸受の断面図である。
前記ころ軸受は、内輪2と、外輪3と、これら内外輪2,3の軌道面2a,3a間に介在する複数のころ1と、これらころ1を円周方向一定間隔おきに保持する保持器4とを有する。ころ軸受に、前記いずれかの転動体を組み込むことで、内部エッジ応力を抑制し軸受寿命の低下を防止し得るため、軸受を交換する等のメンテナンスに要する費用を低減することができる。
ころが、針状ころ、棒状ころ、または円錐ころであっても良い。
3点P1,P2,P3を、ころ有効長さLeの領域のころ軸方向に0.1Leの前記範囲内で任意に設定しても良い。例えば、外径面ストレート部に3点P1,P2,P3を設定しても良い。その場合、前記3点の成す角度θが180°となり、179.7°以上の要件を満たす。
FIG. 7 is a cross-sectional view of a roller bearing incorporating the rolling element according to any of the above embodiments.
The roller bearing includes an inner ring 2, an outer ring 3, a plurality of rollers 1 interposed between the raceway surfaces 2a and 3a of the inner and outer rings 2 and 3, and a cage that holds the rollers 1 at regular intervals in the circumferential direction. 4. By incorporating any one of the above rolling elements into the roller bearing, the internal edge stress can be suppressed and the bearing life can be prevented from decreasing, so that the cost required for maintenance such as replacement of the bearing can be reduced.
The rollers may be needle rollers, rod rollers, or tapered rollers.
The three points P1, P2, and P3 may be arbitrarily set within the range of 0.1 Le in the roller axial direction in the region of the roller effective length Le. For example, three points P1, P2, and P3 may be set on the outer diameter surface straight portion. In that case, the angle θ formed by the three points is 180 °, which satisfies the requirement of 179.7 ° or more.

1…ころ
1a…ころ転動面
1aa…外径面ストレート部
1ab…端部クラウニング部
1ae…中央クラウニング部
DESCRIPTION OF SYMBOLS 1 ... Roller 1a ... Roller rolling surface 1aa ... Outer diameter surface straight part 1ab ... End part crowning part 1ae ... Central crowning part

Claims (5)

ころ形状を成し外周のころ転動面の端部に端部クラウニング部が形成され、前記ころ転動面における前記端部クラウニング部よりも中央側の部分が外径面ストレート部または中央クラウニング部とされ、ころ軸受に用いられる転動体において、
前記ころ形状のころ軸心を含む平面で切断した見た断面で、前記ころ転動面の軸方向長さであるころ有効長さLeの領域の、前記端部クラウニング部の少なくとも一部を含むころ軸方向に0.1Leの任意の範囲内で、
任意の3点P1,P2,P3を取り出し、点P1と点P2とを結ぶ直線L1と、点P1と点P3とを結ぶ直線L2との成す角度θを179.7°以上としたことを特徴とする転動体。
An end crowning portion is formed at the end of the outer peripheral roller rolling surface, and a portion on the center side of the roller rolling surface with respect to the end crowning portion is an outer diameter straight portion or a central crowning portion. In rolling elements used in roller bearings,
In a cross section viewed along a plane including the roller-shaped roller axis, the roller includes a roller effective length Le that is an axial length of the roller rolling surface, and includes at least a part of the end crowning portion. Within an arbitrary range of 0.1 Le in the roller axial direction,
Arbitrary three points P1, P2, and P3 are taken out, and an angle θ formed by a straight line L1 connecting the points P1 and P2 and a straight line L2 connecting the points P1 and P3 is set to 179.7 ° or more. Rolling element.
請求項1記載の転動体において、前記外径面ストレート部または前記中央クラウニング部と前記端部クラウニング部との交点を成す点P1と、前記外径面ストレート部または前記中央クラウニング部上の任意の点P2と、前記端部クラウニング部上の任意の点P3とを取り出す転動体。   2. The rolling element according to claim 1, wherein a point P <b> 1 that forms an intersection of the outer diameter surface straight portion or the central crowning portion and the end crowning portion, and an arbitrary point on the outer diameter surface straight portion or the central crowning portion. A rolling element that extracts a point P2 and an arbitrary point P3 on the end crowning portion. 請求項1または請求項2記載の転動体において、前記転動体が、円筒ころ、針状ころ、棒状ころ、または円錐ころである転動体。   The rolling element according to claim 1 or 2, wherein the rolling element is a cylindrical roller, a needle roller, a bar roller, or a tapered roller. 請求項1ないし請求項3のいずれか1項に記載の転動体を組み込んだころ軸受。   A roller bearing incorporating the rolling element according to any one of claims 1 to 3. ころ形状を成し外周のころ転動面の端部に端部クラウニング部が形成され、前記ころ転動面における前記端部クラウニング部よりも中央側の部分が外径面ストレート部または中央クラウニング部とされ、ころ軸受に用いられる転動体を設計する転動体の設計方法において、
前記ころ形状のころ軸心を含む平面で切断した見た断面で、前記ころ転動面の軸方向長さであるころ有効長さLeの領域の、前記端部クラウニング部の少なくとも一部を含むころ軸方向に0.1Leの任意の範囲内で、
任意の3点P1,P2,P3を取り出し、点P1と点P2とを結ぶ直線L1と、点P1と点P3とを結ぶ直線L2との成す角度θを179.7°以上としたことを特徴とする転動体の設計方法。
An end crowning portion is formed at the end of the outer peripheral roller rolling surface, and a portion on the center side of the roller rolling surface with respect to the end crowning portion is an outer diameter straight portion or a central crowning portion. In the rolling element design method for designing rolling elements used in roller bearings,
In a cross section viewed along a plane including the roller-shaped roller axis, the roller includes a roller effective length Le that is an axial length of the roller rolling surface, and includes at least a part of the end crowning portion. Within an arbitrary range of 0.1 Le in the roller axial direction,
Arbitrary three points P1, P2, and P3 are taken out, and an angle θ formed by a straight line L1 connecting the points P1 and P2 and a straight line L2 connecting the points P1 and P3 is set to 179.7 ° or more. The rolling element design method.
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