JP2002213579A - Manufacturing method for bearing with resin pulley and bearing outer ring - Google Patents
Manufacturing method for bearing with resin pulley and bearing outer ringInfo
- Publication number
- JP2002213579A JP2002213579A JP2001015521A JP2001015521A JP2002213579A JP 2002213579 A JP2002213579 A JP 2002213579A JP 2001015521 A JP2001015521 A JP 2001015521A JP 2001015521 A JP2001015521 A JP 2001015521A JP 2002213579 A JP2002213579 A JP 2002213579A
- Authority
- JP
- Japan
- Prior art keywords
- bearing
- outer ring
- resin pulley
- peripheral surface
- manufacturing
- 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
Links
Landscapes
- Manufacture Of Macromolecular Shaped Articles (AREA)
- Turning (AREA)
- Pulleys (AREA)
Abstract
Description
【0001】[0001]
【発明の属する技術分野】本発明は、ベルト伝動機構、
特に自動車の補機駆動用ベルト等での使用に好適な樹脂
製プーリ付き軸受ならびにその軸受外輪の製造方法に関
する。TECHNICAL FIELD The present invention relates to a belt transmission mechanism,
More particularly, the present invention relates to a method for manufacturing a bearing with a resin pulley suitable for use in a belt for driving auxiliary equipment of an automobile and a bearing outer ring thereof.
【0002】[0002]
【従来の技術】従来より、自動車の補機にエンジンの回
転動力を伝達するための補機駆動用ベルト等で使用され
るプーリには、その重量軽減ならびにコスト削減のた
め、転がり軸受の金属製の外輪の外周面に合成樹脂製の
プーリを一体成形してなる樹脂プーリ付き軸受が用いら
れている。2. Description of the Related Art Conventionally, pulleys used for accessory drive belts for transmitting the rotational power of an engine to an accessory of an automobile have been made of metal for rolling bearings in order to reduce the weight and cost. A resin-pulley bearing is used in which a synthetic resin pulley is integrally formed on the outer peripheral surface of the outer ring.
【0003】樹脂プーリ付き軸受では、軸受外輪の素材
とプーリの素材とで線膨張係数が異なるため、温度上昇
時の熱膨張差によって、軸受外輪とプーリとの密着度が
低下し、外輪とプーリとの間で相対的な滑り(クリー
プ)が生じる場合がある。In a bearing with a resin pulley, since the material of the bearing outer ring and the material of the pulley have different linear expansion coefficients, the degree of adhesion between the bearing outer ring and the pulley decreases due to the difference in thermal expansion when the temperature rises, and the outer ring and the pulley Relative slipping (creep) may occur between the two.
【0004】[0004]
【発明が解決しようとする課題】従来の樹脂プーリ付き
軸受のクリープの発生を防止する方法として、軸受外輪
の外周面に周方向に偏心溝やローレットを形成してい
る。しかし、偏心溝やローレットは加工が困難であり、
製造コストも高くなるという問題があった。As a method of preventing the occurrence of creep in a conventional bearing with a resin pulley, an eccentric groove or a knurl is formed in the outer peripheral surface of a bearing outer ring in a circumferential direction. However, eccentric grooves and knurls are difficult to machine,
There has been a problem that the manufacturing cost is high.
【0005】この発明は、クリープの発生を防止した軸
受外輪を、同時に大量かつ簡単に加工でき、加工時間の
短縮ならびに製造コストの低減が図れる樹脂プーリ付き
軸受および軸受外輪の製造方法を提供することを目的と
する。SUMMARY OF THE INVENTION The present invention provides a bearing with a resin pulley and a method of manufacturing a bearing outer ring which can simultaneously and easily process a large number of bearing outer rings in which creep has been prevented, thereby reducing the processing time and the manufacturing cost. With the goal.
【0006】[0006]
【課題を解決するための手段】本発明の請求項1の樹脂
プーリ付き軸受は、転がり軸受の外輪の外周面に樹脂製
のプーリを一体成形したものであって、前記外輪の外周
面に周方向に対し傾斜した滑り止め溝を形成したことを
特徴とするものである。樹脂プーリは、例えば、溶融樹
脂を滑り止め溝内に充填固化した状態で外輪の外周面に
射出成形される。なお、滑り止め溝を複数本並設しても
よく、また、各滑り止め溝は外輪の中心軸に対し均等に
配置してもよい。According to a first aspect of the present invention, there is provided a bearing with a resin pulley, wherein a resin pulley is integrally formed on an outer peripheral surface of an outer ring of a rolling bearing. A non-slip groove inclined with respect to the direction is formed. The resin pulley is injection-molded, for example, on the outer peripheral surface of the outer ring in a state where the molten resin is filled in the anti-slip groove and solidified. Note that a plurality of non-slip grooves may be provided in parallel, and each of the non-slip grooves may be arranged evenly with respect to the center axis of the outer ring.
【0007】このように構成したことで、外輪の外周面
に形成した滑り止め溝内に樹脂プーリが嵌入し、外輪と
プーリとの間でクリープが生じるのを確実に防ぐことが
できる。また、外輪の外周面に周方向に対し傾斜した滑
り止め溝を形成する際に、複数の外輪を並設しておいて
一度に滑り止め溝を加工することができる。さらに、外
輪の外周面に複数本の滑り止め溝を、外輪の中心軸に対
し均等に配置することで、プーリの振れ止め対策にもな
る。[0007] With this configuration, it is possible to reliably prevent the resin pulley from being fitted into the non-slip groove formed on the outer peripheral surface of the outer ring and causing creep between the outer ring and the pulley. Further, when forming a non-slip groove inclined with respect to the circumferential direction on the outer peripheral surface of the outer ring, a plurality of outer rings can be arranged side by side to process the non-slip groove at once. Furthermore, by arranging a plurality of non-slip grooves on the outer peripheral surface of the outer ring evenly with respect to the center axis of the outer ring, it is possible to prevent the pulley from oscillating.
【0008】本発明の請求項5は請求項1記載の樹脂プ
ーリ付き軸受に用いる転がり軸受の外輪を製造する方法
であって、内周面に連続した螺旋状の切削刃を有した筒
状の加工工具内に、複数の外輪を軸方向隣り合わせにて
密に並設してなる外輪組立体を押入し、前記外輪組立体
と前記加工工具との一方を回転させることにより、前記
外輪組立体の外周面に対して滑り止め溝を形成すること
を特徴とするものである。なお、加工工具の内周面に複
数本の切削刃を並設してもよい。According to a fifth aspect of the present invention, there is provided a method for manufacturing an outer race of a rolling bearing used for a bearing with a resin pulley according to the first aspect, wherein the outer peripheral surface has a cylindrical shape having a continuous spiral cutting blade on an inner peripheral surface. By pushing an outer ring assembly in which a plurality of outer rings are densely arranged side by side in the axial direction in a processing tool and rotating one of the outer ring assembly and the processing tool, the outer ring assembly A non-slip groove is formed on the outer peripheral surface. Note that a plurality of cutting blades may be provided side by side on the inner peripheral surface of the processing tool.
【0009】このように、複数の外輪を並設してなる外
輪組立体を加工工具内に押入して相対的に回転させるこ
とで滑り止め溝を形成するので、一度に複数の外輪に簡
単に滑り止め溝を加工することができる。As described above, since the non-slip groove is formed by pushing the outer ring assembly having a plurality of outer rings in parallel into the working tool and relatively rotating the outer ring assembly, the outer ring assembly can be easily formed on the plurality of outer rings at once. Non-slip grooves can be machined.
【0010】本発明の請求項6は請求項1記載の樹脂プ
ーリ付き軸受に用いる転がり軸受の外輪を製造する方法
であって、内周面に連続した螺旋状の切削刃を有した筒
状の加工工具内に、複数個分の外輪に相当する円筒母材
を押入し、前記円筒母材と前記加工工具との一方を回転
させることにより、前記円筒母材の外周面に対して滑り
止め溝を形成した後、前記円筒母材を切断して外輪を形
成することを特徴とするものである。なお、加工工具の
内周面に複数本の切削刃を並設してもよい。According to a sixth aspect of the present invention, there is provided a method for manufacturing an outer race of a rolling bearing used for a bearing with a resin pulley according to the first aspect, wherein the outer peripheral surface has a cylindrical cutting blade having a continuous spiral cutting blade. A non-slip groove is formed on the outer peripheral surface of the cylindrical base material by pushing a cylindrical base material corresponding to a plurality of outer rings into the processing tool and rotating one of the cylindrical base material and the processing tool. After forming the outer ring, the outer ring is formed by cutting the cylindrical base material. Note that a plurality of cutting blades may be provided side by side on the inner peripheral surface of the processing tool.
【0011】このように、複数個分の外輪に相当する円
筒母材を加工工具内に押入して相対的に回転させること
で滑り止め溝を形成するので、一度に複数の外輪に簡単
に滑り止め溝を加工することができる。As described above, since the non-slip groove is formed by pushing the cylindrical base material corresponding to a plurality of outer rings into the working tool and rotating them relative to each other, it is easy to slide on the plurality of outer rings at once. Stop grooves can be machined.
【0012】[0012]
【発明の実施の形態】本発明の一実施の形態について、
図1から図8を用いて説明する。DESCRIPTION OF THE PREFERRED EMBODIMENTS One embodiment of the present invention will be described.
This will be described with reference to FIGS.
【0013】図1は、転がり軸受の外輪11の外周面1
2に合成樹脂製のプーリ13を一体成形してなる樹脂プ
ーリ付き軸受10の部分断面図を示しており、外輪11
の外周面12には滑り止め溝Lが形成されており、か
つ、プーリ13の外周面14には補機駆動用ベルト(図
示せず)を掛ける。FIG. 1 shows an outer peripheral surface 1 of an outer race 11 of a rolling bearing.
2 shows a partial cross-sectional view of a bearing 10 with a resin pulley formed by integrally molding a pulley 13 made of synthetic resin.
A non-slip groove L is formed on the outer peripheral surface 12 of the pulley 13, and an accessory driving belt (not shown) is hung on the outer peripheral surface 14 of the pulley 13.
【0014】次に、外輪11の外周面12に滑り止め溝
Lを加工する方法について説明する。滑り止め溝Lの加
工に際しては、図2に示すように、内周面21に連続し
た螺旋状の切削刃22を有した筒状の加工工具20を用
いる。Next, a method of forming the non-slip groove L on the outer peripheral surface 12 of the outer race 11 will be described. In processing the non-slip groove L, as shown in FIG. 2, a cylindrical processing tool 20 having a spiral cutting blade 22 continuous with an inner peripheral surface 21 is used.
【0015】すなわち、複数の外輪11を軸方向隣り合
わせにて密に並設して外輪組立体15を構成し、この外
輪組立体15内に棒状の支持治具23を挿通して各外輪
11を支持し、支持治具23を回転させながら加工工具
20内に外輪組立体15を押入する。これにより、外輪
組立体15の各外輪11の外周面12に切削刃22によ
って滑り止め溝Lが連続形成される。なお、各外輪11
の軸心方向へのずれや空回りを防止するために、外輪組
立体15を両側からねじ等で挟圧固定したり、外輪11
の内面に回り止め状態に係合する突起を支持治具23の
外周面に設けてもよい。That is, a plurality of outer rings 11 are densely arranged side by side in the axial direction to form an outer ring assembly 15, and a rod-like support jig 23 is inserted into the outer ring assembly 15 to connect each outer ring 11. The outer ring assembly 15 is supported and pushed into the processing tool 20 while rotating the support jig 23. Thereby, the nonslip groove L is continuously formed on the outer peripheral surface 12 of each outer ring 11 of the outer ring assembly 15 by the cutting blade 22. In addition, each outer ring 11
In order to prevent the outer ring assembly 15 from being displaced in the axial direction and idling, the outer ring assembly 15 can be fixedly pinched from both sides with screws or the like.
May be provided on the outer peripheral surface of the support jig 23 to engage with the inner surface of the support jig 23 in a detented state.
【0016】滑り止め溝Lの形成後、支持治具23を回
転させながら押し進めるか、あるいは逆方向に回転させ
ることで、外輪組立体15を加工工具20から抜き取
り、図3に示すように、外周面12に周方向に対し傾斜
した滑り止め溝Lを形成した外輪11を得る。After the formation of the non-slip groove L, the outer ring assembly 15 is pulled out from the processing tool 20 by pushing the support jig 23 while rotating or rotating the support jig in the opposite direction, and as shown in FIG. The outer race 11 having the non-slip groove L formed on the surface 12 inclined with respect to the circumferential direction is obtained.
【0017】なお、支持治具23は固定しておき、加工
工具20を回転させることで、外輪11の外周面12に
滑り止め溝Lを形成してもよい。The non-slip groove L may be formed on the outer peripheral surface 12 of the outer race 11 by fixing the support jig 23 and rotating the processing tool 20.
【0018】図4は、軸受の外輪11の外周面12に合
成樹脂製のプーリ13を一体成形する工程を示してい
る。プーリ13は、例えば、射出成形によって形成され
る。すなわち、転がり軸受またはその外輪11を金型3
0内に芯出し固定し、型内のキャビティ33にランナ3
1ならびに樹脂注入ゲート32を介して溶融樹脂を充填
した後、これを固化させることによって形成する。FIG. 4 shows a step of integrally forming a pulley 13 made of synthetic resin on the outer peripheral surface 12 of the outer ring 11 of the bearing. The pulley 13 is formed by, for example, injection molding. That is, the rolling bearing or its outer ring 11 is
0, and fix the runner 3 in the cavity 33 in the mold.
After filling with the molten resin through the resin injection gate 1 and the resin injection gate 32, the molten resin is solidified.
【0019】図5は、外輪11の外周面12部分の拡大
図を示している。すなわち、溶融樹脂が滑り止め溝L内
に充填固化した状態で樹脂プーリ13が外輪11の外周
面12に射出成形され、周方向に対し傾斜した滑り止め
溝Lによって樹脂プーリ13は軸心方向に移動すること
となり、温度上昇時にも外輪11と樹脂プーリ13の円
周方向のクリープを確実に防止することができる。FIG. 5 is an enlarged view of the outer peripheral surface 12 of the outer race 11. That is, the resin pulley 13 is injection-molded on the outer peripheral surface 12 of the outer race 11 in a state where the molten resin is filled and solidified in the non-slip groove L, and the resin pulley 13 is axially oriented by the non-slip groove L inclined with respect to the circumferential direction. As a result, circumferential creep of the outer race 11 and the resin pulley 13 can be reliably prevented even when the temperature rises.
【0020】図6は、外輪11の外周面12に2本の滑
り止め溝L1,L2を形成する例を示している。すなわ
ち、内周面41に連続した2本の螺旋状の切削刃42,
43を有した筒状の加工工具40を用い、支持治具で支
持した複数の外輪11を密に並設してなる外輪組立体1
5を回転させながら押入する。これにより、各外輪11
の外周面12には、図7に示すように、2本の滑り止め
溝L1,L2が外輪11の中心軸C-Cに対し均等に配置
されて形成される。FIG. 6 shows an example in which two non- slip grooves L 1 and L 2 are formed on the outer peripheral surface 12 of the outer race 11. That is, two spiral cutting blades 42 continuous with the inner peripheral surface 41,
Outer ring assembly 1 in which a plurality of outer rings 11 supported by a supporting jig are densely arranged using a cylindrical processing tool 40 having
Push in while rotating 5. Thereby, each outer ring 11
As shown in FIG. 7, two non-slip grooves L 1 and L 2 are formed on the outer peripheral surface 12 of the outer ring 11 so as to be evenly arranged with respect to the center axis CC of the outer ring 11.
【0021】なお、滑り止め溝Lの本数は特に限定され
るものではなく、例えば、図8に示すように、外輪11
の外周面12に3本の滑り止め溝L1,L2,L3あるい
はそれ以上の滑り止め溝Lを形成してもよい。また、各
滑り止め溝Lは、外輪11の中心軸C-Cに対し均等に
配置されていなくてもよく、かつ、溝形状も断面V字状
に限るものではなく、例えば、矩形溝等であってもよ
い。また、滑り止め溝Lの周方向に対する傾斜角度や溝
間隔は、軌道研削時に外輪11を回転させる際に、引っ
掛かり等の支障を来たさず正常に研削できるような値に
設定する。また、滑り止め溝Lの深さ、幅、形状につい
ても、外輪11の強度上問題とならない寸法形状とす
る。The number of the non-slip grooves L is not particularly limited. For example, as shown in FIG.
May have three non-slip grooves L 1 , L 2 , L 3 or more. Further, the non-slip grooves L do not have to be evenly arranged with respect to the central axis CC of the outer race 11, and the groove shape is not limited to a V-shaped cross section, and may be, for example, a rectangular groove or the like. There may be. In addition, the inclination angle and the groove interval of the non-slip groove L with respect to the circumferential direction are set to values that allow normal grinding without causing trouble such as catching when the outer ring 11 is rotated during track grinding. Also, the depth, width and shape of the non-slip groove L are set to dimensions and shapes that do not cause a problem in the strength of the outer race 11.
【0022】さらに、加工工具内に、複数個分の外輪に
相当する長尺の円筒母材を支持治具で支持して回転させ
ながら押入し、当該円筒母材の外周面に滑り止め溝を形
成した後、円筒母材を所定の長さに切断した後、外輪を
形成してもよい。Further, a long cylindrical base material corresponding to a plurality of outer rings is pushed into the working tool while being supported and rotated by a support jig, and a non-slip groove is formed on the outer peripheral surface of the cylindrical base material. After forming, the outer race may be formed after cutting the cylindrical base material to a predetermined length.
【0023】[0023]
【発明の効果】本発明の樹脂プーリ付き軸受および軸受
外輪の製造方法によれば、クリープの発生を防止した軸
受外輪を、同時に大量かつ簡単に加工でき、加工時間の
短縮ならびに製造コストの低減が図れるという効果が得
られる。According to the method of manufacturing a bearing with a resin pulley and a bearing outer ring of the present invention, a large number of bearing outer rings in which creep is prevented can be simultaneously and easily processed, thereby reducing the processing time and the manufacturing cost. The effect of being able to achieve is obtained.
【図1】 本発明の一実施の形態における樹脂プーリ付
き軸受の部分断面図である。FIG. 1 is a partial cross-sectional view of a bearing with a resin pulley according to an embodiment of the present invention.
【図2】 本発明の一実施の形態における樹脂プーリ付
き軸受の外輪の加工工程の断面図である。FIG. 2 is a cross-sectional view of a step of processing an outer ring of the bearing with a resin pulley according to the embodiment of the present invention.
【図3】 本発明の一実施の形態における樹脂プーリ付
き軸受の外輪の正面図である。FIG. 3 is a front view of an outer ring of the bearing with a resin pulley according to the embodiment of the present invention.
【図4】 本発明の一実施の形態における樹脂プーリ付
き軸受の製造工程の断面図である。FIG. 4 is a cross-sectional view of a manufacturing process of the bearing with a resin pulley according to one embodiment of the present invention.
【図5】 本発明の一実施の形態における樹脂プーリ付
き軸受の部分拡大断面図である。FIG. 5 is a partially enlarged cross-sectional view of a bearing with a resin pulley according to one embodiment of the present invention.
【図6】 本発明の一実施の形態における樹脂プーリ付
き軸受の外輪の加工工程の変形例の断面図である。FIG. 6 is a cross-sectional view of a modified example of a process of processing an outer ring of a bearing with a resin pulley according to an embodiment of the present invention.
【図7】 本発明の一実施の形態における樹脂プーリ付
き軸受の変形例の外輪の正面図である。FIG. 7 is a front view of an outer race of a modified example of the bearing with a resin pulley according to one embodiment of the present invention.
【図8】 本発明の一実施の形態における樹脂プーリ付
き軸受のさらにその他の変形例の外輪の正面図である。FIG. 8 is a front view of an outer ring of still another modified example of the bearing with a resin pulley according to one embodiment of the present invention.
10 樹脂プーリ付き軸受 11 外輪 12 外周面 13 プーリ 15 外輪組立体 20,40 加工工具 22,42,43 切削刃 23 支持治具 L 滑り止め溝 DESCRIPTION OF SYMBOLS 10 Bearing with resin pulley 11 Outer ring 12 Outer peripheral surface 13 Pulley 15 Outer ring assembly 20, 40 Processing tool 22, 42, 43 Cutting blade 23 Supporting jig L Non-slip groove
Claims (7)
ーリを一体成形した樹脂プーリ付き軸受であって、前記
外輪の外周面に周方向に対し傾斜した滑り止め溝を形成
したことを特徴とする樹脂プーリ付き軸受。1. A bearing with a resin pulley in which a resin pulley is integrally formed on an outer peripheral surface of an outer ring of a rolling bearing, wherein a non-slip groove inclined with respect to a circumferential direction is formed on an outer peripheral surface of the outer ring. Bearing with resin pulley.
を特徴とする請求項1記載の樹脂プーリ付き軸受。2. The bearing with a resin pulley according to claim 1, wherein a plurality of non-slip grooves are provided side by side.
に配置されていることを特徴とする請求項2記載の樹脂
プーリ付き軸受。3. The bearing with a resin pulley according to claim 2, wherein each of the non-slip grooves is arranged evenly with respect to a center axis of the outer ring.
に充填固化した状態で外輪の外周面に射出成形されてい
ることを特徴とする請求項1ないし請求項3記載の樹脂
プーリ付き軸受。4. The bearing with a resin pulley according to claim 1, wherein the resin pulley is injection-molded on the outer peripheral surface of the outer race in a state where molten resin is filled in the non-slip groove and solidified. .
いる転がり軸受の外輪を製造する方法であって、内周面
に連続した螺旋状の切削刃を有した筒状の加工工具内
に、複数の外輪を軸方向隣り合わせにて密に並設してな
る外輪組立体を押入し、前記外輪組立体と前記加工工具
との一方を回転させることにより、前記外輪組立体の外
周面に対して滑り止め溝を形成することを特徴とする軸
受外輪の製造方法。5. A method for manufacturing an outer race of a rolling bearing used for a bearing with a resin pulley according to claim 1, wherein the cylindrical processing tool has a continuous helical cutting blade on an inner peripheral surface thereof. By pushing in an outer ring assembly in which a plurality of outer rings are densely juxtaposed axially adjacent to each other and rotating one of the outer ring assembly and the processing tool, the outer ring assembly is moved toward the outer peripheral surface of the outer ring assembly. A method of manufacturing a bearing outer ring, wherein a non-slip groove is formed.
いる転がり軸受の外輪を製造する方法であって、内周面
に連続した螺旋状の切削刃を有した筒状の加工工具内
に、複数個分の外輪に相当する円筒母材を押入し、前記
円筒母材と前記加工工具との一方を回転させることによ
り、前記円筒母材の外周面に対して滑り止め溝を形成し
た後、前記円筒母材を切断して外輪を形成することを特
徴とする軸受外輪の製造方法。6. A method for manufacturing an outer race of a rolling bearing used for a bearing with a resin pulley according to claim 1, wherein the cylindrical working tool has a continuous spiral cutting blade on an inner peripheral surface thereof. After pressing a cylindrical base material corresponding to a plurality of outer rings, and rotating one of the cylindrical base material and the processing tool, after forming a non-slip groove on the outer peripheral surface of the cylindrical base material, A method of manufacturing a bearing outer ring, comprising cutting the cylindrical base material to form an outer ring.
設されていることを特徴とする請求項5または請求項6
記載の軸受外輪の製造方法。7. The processing tool according to claim 5, wherein a plurality of cutting blades are arranged in parallel on an inner peripheral surface of the processing tool.
The manufacturing method of the bearing outer ring described in the above.
Priority Applications (1)
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JP2001015521A JP3919067B2 (en) | 2001-01-24 | 2001-01-24 | Method for manufacturing outer ring of rolling bearing used for bearing with resin pulley |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP2001015521A JP3919067B2 (en) | 2001-01-24 | 2001-01-24 | Method for manufacturing outer ring of rolling bearing used for bearing with resin pulley |
Publications (2)
Publication Number | Publication Date |
---|---|
JP2002213579A true JP2002213579A (en) | 2002-07-31 |
JP3919067B2 JP3919067B2 (en) | 2007-05-23 |
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JP2001015521A Expired - Fee Related JP3919067B2 (en) | 2001-01-24 | 2001-01-24 | Method for manufacturing outer ring of rolling bearing used for bearing with resin pulley |
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JP (1) | JP3919067B2 (en) |
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US11391324B1 (en) | 2021-04-07 | 2022-07-19 | Schaeffler Technologies AG & Co. KG | Creep mitigation design for bearing assembly |
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- 2001-01-24 JP JP2001015521A patent/JP3919067B2/en not_active Expired - Fee Related
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