CN105937602A - Double-arc gear - Google Patents
Double-arc gear Download PDFInfo
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- CN105937602A CN105937602A CN201610402761.9A CN201610402761A CN105937602A CN 105937602 A CN105937602 A CN 105937602A CN 201610402761 A CN201610402761 A CN 201610402761A CN 105937602 A CN105937602 A CN 105937602A
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- circular arc
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- 238000000034 method Methods 0.000 abstract description 9
- 230000005540 biological transmission Effects 0.000 abstract description 7
- 230000007704 transition Effects 0.000 abstract description 7
- 238000005260 corrosion Methods 0.000 abstract description 4
- 230000007797 corrosion Effects 0.000 abstract description 4
- 101100537937 Caenorhabditis elegans arc-1 gene Proteins 0.000 description 5
- 238000010586 diagram Methods 0.000 description 4
- 230000033001 locomotion Effects 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
Classifications
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- 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
- F16H55/17—Toothed wheels
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- 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
- F16H55/0826—Novikov-Wildhaber profile
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- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Gears, Cams (AREA)
Abstract
本发明公开了一种双圆弧齿轮,包括多个轮齿,每个轮齿的基本齿廓包括凸圆弧和凹圆弧,所述凸圆弧通过凹槽线段与所述凹圆弧连接,所述凹槽线段由所述凸圆弧与所述凹圆弧的公切线向所述凸圆弧的内侧方向平移形成;本发明的一种双圆弧齿轮在跑合的过程中,凹槽线段所形成的齿形不参与啮合,能够有效避免普通公切线式双圆弧齿轮的渐开线齿形跑合过程中产生的点蚀,经过跑合后,原凹槽线段所形成的渐开线齿形与该轮齿的凸圆弧和凹圆弧平滑过渡,能减轻凸圆弧和凹圆弧的载荷,提高齿轮的使用寿命,并且由于渐开线齿形的重合度相对分阶式双圆弧齿轮的过渡圆弧齿形的重合度较高,因此传动更加平稳。
The present invention discloses a double circular arc gear, comprising a plurality of gear teeth, wherein the basic tooth profile of each gear tooth comprises a convex circular arc and a concave circular arc, wherein the convex circular arc is connected to the concave circular arc by a groove line segment, and the groove line segment is formed by translating the common tangent of the convex circular arc and the concave circular arc toward the inner side of the convex circular arc; during the running-in process of the double circular arc gear of the present invention, the tooth profile formed by the groove line segment does not participate in meshing, and can effectively avoid pitting corrosion generated during the running-in process of the involute tooth profile of the ordinary tangent type double circular arc gear; after the running-in, the involute tooth profile formed by the original groove line segment smoothly transitions with the convex circular arc and the concave circular arc of the gear tooth, and can reduce the load of the convex circular arc and the concave circular arc, and improve the service life of the gear; and because the overlap degree of the involute tooth profile is higher than the overlap degree of the transition circular arc tooth profile of the stepped double circular arc gear, the transmission is smoother.
Description
技术领域technical field
本发明属于传递运动和动力的机械元件,具体是一种齿轮,更为具体的是一种双圆弧齿轮。The invention belongs to a mechanical element for transmitting motion and power, specifically a gear, more specifically a double-arc gear.
背景技术Background technique
现有的公切线式双圆弧齿轮的基本齿廓由凸圆弧、凹圆弧及与凸圆弧和凹圆弧的公切线组成,用这种齿廓制成的滚刀所加工的齿轮的工作齿形分为两部分:一部分是其双圆弧部分所加工的是双圆弧齿形,另一部分是其公切线部分所加工的是渐开线齿形。这种齿形的双圆弧齿轮在跑合时的渐开线的齿形处容易发生点蚀,从而导致齿轮失效。为解决点蚀的问题,齿轮的国家标准文件GB12759-91提出了分阶式双圆弧齿轮,使用过渡圆弧替代凸圆弧和凹圆弧的公切线。但是,由于分阶式双圆弧齿轮的过渡圆弧是不参与啮合的,而公切线式双圆弧齿轮的渐开线齿形是参与啮合的,所以分阶式双圆弧齿轮的重合度较公切线式的双圆弧齿轮的重合度小。因此,与公切线式的双圆弧齿轮相比,分阶式双圆弧齿轮的轮齿进入啮合和脱离啮合的冲击较大,平稳性较公切线式双圆弧齿轮差,影响齿轮的使用寿命。The basic tooth profile of the existing common tangent type double arc gear is composed of convex arc, concave arc and common tangent to the convex arc and concave arc. The gear processed by the hob made of this tooth profile The working tooth shape is divided into two parts: one part is the double arc tooth shape processed by its double arc part, and the other part is the involute tooth shape processed by the common tangent part. This kind of double-arc gear is prone to pitting at the involute tooth profile during running-in, resulting in gear failure. In order to solve the problem of pitting, the national standard file of gears GB12759-91 proposes a stepped double-arc gear, using a transitional arc to replace the common tangent of the convex and concave arcs. However, since the transition arc of the stepped double-arc gear does not participate in the meshing, while the involute tooth profile of the common tangent double-arc gear participates in the meshing, so the coincidence degree of the stepped double-arc gear Compared with the common tangent type double circular arc gear, the coincidence degree is smaller. Therefore, compared with the common tangent double-arc gear, the gear teeth of the stepped double-arc gear have a greater impact on meshing and disengagement, and the stability is worse than that of the common tangent double-arc gear, which affects the use of the gear. life.
发明内容Contents of the invention
为了解决上述问题,本发明的目的在于提供一种在跑合时不易发生点蚀且跑合完成后传动平稳的双圆弧齿轮。In order to solve the above problems, the object of the present invention is to provide a double circular arc gear which is less prone to pitting during running-in and has stable transmission after running-in.
本发明为解决其技术问题而采用的技术方案是:The technical scheme that the present invention adopts for solving its technical problem is:
一种双圆弧齿轮,包括多个轮齿,每个轮齿的基本齿廓包括凸圆弧和凹圆弧,所述凸圆弧通过凹槽线段与所述凹圆弧连接,所述凹槽线段由所述凸圆弧与所述凹圆弧的公切线向所述凸圆弧的内侧方向平移形成。A double arc gear, comprising a plurality of teeth, the basic tooth profile of each tooth includes a convex arc and a concave arc, the convex arc is connected with the concave arc through a groove line segment, and the concave The groove segment is formed by the translation of the common tangent of the convex arc and the concave arc to the inner side of the convex arc.
作为本发明的优选的实施方式,所述的凹槽线段由公切线平移凹圆弧的曲率半径与凸圆弧的曲率半径的差值的一半的距离形成。As a preferred embodiment of the present invention, the groove line segment is formed by translating the common tangent by half the difference between the radius of curvature of the concave arc and the radius of curvature of the convex arc.
本发明的有益效果是:本发明的一种双圆弧齿轮的每个轮齿的基本齿廓使用了凹槽线段替代凸圆弧与凹圆弧的公切线,所述凹槽线段是由凸圆弧与凹圆弧的公切线平移而形成的,在齿轮跑合的过程中,凹槽线段所形成的渐开线齿形不参与啮合,能够有效避免普通公切线式双圆弧齿轮的渐开线齿形跑合过程中产生点蚀,经过跑合后,凸圆弧和凹圆弧所形成的双圆弧齿形与凹槽线段所形成的渐开线齿形平滑过渡。渐开线齿形能够承受齿轮啮合时的一部分载荷,减轻了凸圆弧和凹圆弧的载荷,提高齿轮的使用寿命,并且由于渐开线齿形的重合度相对分阶式双圆弧齿轮的过渡圆弧齿形的重合度较高,因此传动更加平稳。The beneficial effect of the present invention is: the basic tooth profile of each gear tooth of a kind of double circular arc gear of the present invention has used groove line segment to replace the common tangent line of convex arc and concave arc, and described groove line segment is formed by convex The common tangent of the circular arc and the concave circular arc is formed by translation. During the running-in process of the gear, the involute tooth shape formed by the groove line segment does not participate in the meshing, which can effectively avoid the involute of the common common tangent double arc gear. Pitting corrosion occurs during the running-in process of the open-line tooth profile. After the running-in process, the double-arc tooth profile formed by the convex arc and the concave arc and the involute tooth profile formed by the groove line segment transition smoothly. The involute tooth shape can bear part of the load when the gears mesh, which reduces the load of the convex arc and the concave arc, and improves the service life of the gear. The transitional arc tooth shape has a high degree of coincidence, so the transmission is more stable.
附图说明Description of drawings
图1是本发明的轮齿的基本齿廓的结构示意图;Fig. 1 is the structural representation of the basic tooth profile of gear tooth of the present invention;
图2是分阶式双圆弧齿轮的基本齿廓的结构示意图;Fig. 2 is a structural schematic diagram of the basic tooth profile of the stepped double arc gear;
图3是公切线式双圆弧齿轮的基本齿廓结构示意图;Fig. 3 is a schematic diagram of the basic tooth profile structure of the common tangent type double circular arc gear;
图4是分阶式双圆弧齿轮的轮齿的油膜压力与宽度的关系的示意图;Fig. 4 is a schematic diagram of the relationship between the oil film pressure and the width of the teeth of the stepped double arc gear;
图5是本发明的轮齿的油膜压力与宽度的关系的示意图。Fig. 5 is a schematic diagram of the relationship between the oil film pressure and the width of the gear teeth of the present invention.
具体实施方式detailed description
下面结合附图和具体实施方式对本发明作进一步详细的说明,但是,需要说明的是,对以下实施方式的说明是示意性的,并不构成对本发明的具体限定。The present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments. However, it should be noted that the description of the following embodiments is schematic and does not constitute a specific limitation to the present invention.
参照图1,本发明的一种双圆弧齿轮,包括多个轮齿,每个轮齿的基本齿廓包括凸圆弧1和凹圆弧2,图中中心线线段为该齿轮的节圆,凸圆弧1通过凹槽线段3与凹圆弧2连接,所述凹槽线段3由凸圆弧1与凹圆弧2的公切线4向凸圆弧1的内侧方向平移形成,其中,Δr=Pb-Pa,式中Pb为凹圆弧的曲率半径,Pa为凸圆弧的曲率半径,的距离是单个轮齿的跑合量,经过跑合后所述凸圆弧1和所述凹圆弧2与所述凹槽线段3之间平滑过渡。所述凹槽线段3相对于公切线4平移的距离根据齿轮传动的具体跑合条件可作出调整,不限于的固定值。Referring to Fig. 1, a double-arc gear of the present invention includes a plurality of teeth, and the basic tooth profile of each tooth includes a convex arc 1 and a concave arc 2, and the center line segment in the figure is the pitch circle of the gear , the convex arc 1 is connected to the concave arc 2 through the groove line segment 3, and the groove line segment 3 is translated to the inner side of the convex arc 1 by the common tangent line 4 of the convex arc 1 and the concave arc 2 Formed, where, Δ r =P b -P a , where P b is the radius of curvature of the concave arc, P a is the radius of curvature of the convex arc, The distance is the running-in amount of a single gear tooth, after the running-in, there is a smooth transition between the convex arc 1 and the concave arc 2 and the groove line segment 3 . The translation distance of the groove line segment 3 relative to the common tangent line 4 can be adjusted according to the specific running-in conditions of the gear transmission, and is not limited to fixed value.
参照图1至图3,由于在跑合过程中凹槽线段3所形成的齿形不参与啮合,因此,避免了跑合过程中该凹槽线段3所形成的齿形发生点蚀,解决了图3所示的普通公切线式双圆弧齿轮在跑合过程中出现点蚀的问题,同时,凹槽线段3所形成的齿形为渐开线齿形,而渐开线齿形较图2所示的齿轮的国家标准文件GB12759-91提出的分阶式双圆弧齿轮的每个轮齿的过渡圆弧部分的齿形的重合度更高,因此本发明的一种双圆弧齿轮的整体重合度较分阶式双圆弧齿轮更高,传动运动更平稳。Referring to Figures 1 to 3, since the tooth shape formed by the groove line segment 3 does not participate in the meshing during the running-in process, pitting corrosion of the tooth shape formed by the groove line segment 3 during the running-in process is avoided, and the problem is solved. The ordinary public tangent double circular arc gear shown in Figure 3 has the problem of pitting corrosion during the running-in process. At the same time, the tooth shape formed by the groove line segment 3 is an involute tooth shape, and the involute tooth shape is compared with that in Fig. The national standard document GB12759-91 of the gear shown in 2 shows that the tooth profile of the transition arc part of each gear tooth of the stepped double arc gear proposed by the national standard file GB12759-91 has a higher coincidence degree, so a double arc gear of the present invention The overall coincidence degree is higher than that of the stepped double arc gear, and the transmission movement is more stable.
参照图4,现有的分阶式双圆弧齿轮在齿轮传动的过程中形成了两个分离的油膜,图中的横坐标W为油膜宽度,竖坐标P为油膜压力,其中A1与A2之间距离为分阶式双圆弧齿轮的凸圆弧的齿形所对应的油膜宽度,A2与A3之间距离为过渡圆弧的齿形对应的油膜宽度,A3与A4之间距离为凹圆弧的齿形对应的油膜宽度,所述的两个油膜两边的油压均为零,因此共有四个泄漏点。参照图5,图中的横坐标W为油膜宽度,竖坐标P为油膜压力,本发明的一种双圆弧齿轮将所述分阶式双圆弧齿轮的两个油膜连成了一个油膜,油膜的泄漏点为A5和A6,油膜泄露点相对于分阶式双圆弧齿轮的油膜由四个变为两个,油膜中心的油膜压力明显升高,油膜的面积是分阶式双圆弧齿轮的油膜面积的数倍,齿轮的齿面间的摩擦、磨损减小,一方面提高了传动效率,另一方面有助于延长齿轮的使用寿命。Referring to Figure 4, the existing stepped double arc gear forms two separate oil films during the gear transmission process, the abscissa W in the figure is the width of the oil film, and the vertical coordinate P is the pressure of the oil film, where the difference between A1 and A2 The distance between A2 and A3 is the oil film width corresponding to the tooth shape of the transition arc, and the distance between A3 and A4 is the concave circle The tooth shape of the arc corresponds to the oil film width, and the oil pressure on both sides of the two oil films is zero, so there are four leakage points. Referring to Fig. 5, the abscissa W in the figure is the oil film width, and the vertical coordinate P is the oil film pressure. A double-arc gear of the present invention connects the two oil films of the stepped double-arc gear into one oil film, The leakage points of the oil film are A5 and A6. Compared with the oil film of the stepped double-arc gear, the oil film leakage point has changed from four to two. The oil film area of the gear is several times larger, and the friction and wear between the tooth surfaces of the gear are reduced. On the one hand, the transmission efficiency is improved, and on the other hand, it helps to prolong the service life of the gear.
以上所述仅为本发明的优先实施方式,只要以基本相同手段实现本发明目的的技术方案都属于本发明的保护范围之内。The above descriptions are only the preferred implementation modes of the present invention, as long as the technical solutions to achieve the purpose of the present invention by basically the same means fall within the scope of protection of the present invention.
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Cited By (3)
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CN107327559A (en) * | 2017-09-01 | 2017-11-07 | 西南大学 | A kind of helical gear of circular arc parabola Multi-contact |
CN112518045A (en) * | 2020-12-25 | 2021-03-19 | 南京航空航天大学 | Method for processing gear texture surface |
CN113090716A (en) * | 2021-03-25 | 2021-07-09 | 郑州爱丁宝机电科技有限公司 | Fixed few tooth difference reduction gearing of fluted disc |
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CN205841667U (en) * | 2016-06-07 | 2016-12-28 | 中山爱耕压缩机有限公司 | A kind of Novikov gears with double circular arc tooth profiles |
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CN107327559B (en) * | 2017-09-01 | 2023-04-07 | 西南大学 | A helical gear with arc-parabola multi-point contact |
CN112518045A (en) * | 2020-12-25 | 2021-03-19 | 南京航空航天大学 | Method for processing gear texture surface |
CN112518045B (en) * | 2020-12-25 | 2022-04-08 | 南京航空航天大学 | Method for processing gear texture surface |
CN113090716A (en) * | 2021-03-25 | 2021-07-09 | 郑州爱丁宝机电科技有限公司 | Fixed few tooth difference reduction gearing of fluted disc |
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