CN102072308A - Bevel gear with combined arc tooth profile curves and involute tooth profile curves - Google Patents
Bevel gear with combined arc tooth profile curves and involute tooth profile curves Download PDFInfo
- Publication number
- CN102072308A CN102072308A CN 201110023995 CN201110023995A CN102072308A CN 102072308 A CN102072308 A CN 102072308A CN 201110023995 CN201110023995 CN 201110023995 CN 201110023995 A CN201110023995 A CN 201110023995A CN 102072308 A CN102072308 A CN 102072308A
- Authority
- CN
- China
- Prior art keywords
- involute
- tooth
- gear
- circular arc
- line segment
- 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
Images
Abstract
The invention discloses a bevel gear with combined arc tooth profile curves and involute tooth profile curves, wherein the tooth profile curves of the bevel gear comprise a top convex-arc segment, an involute segment and a root concave-arc segment, wherein the top convex-arc segment, the involute segment and the root concave-arc segment are sequentially connected from the top to the root; the top convex-arc segment and the root concave-arc segment are both tangential to the involute segment; and the radius of the root concave-arc segment is larger than that of the top convex-arc segment. The bevel gear of the invention has the advantages of separability of center distance of the involute gear; the bevel gear is simple in manufacturing, convenient in measuring, large in contact strength of the arc gear, excellent in running-in performance and the like; the contact stress of the gear surface can be largely reduced and the loading ability of the gear surface can be largely improved. In addition, the bevel gear does not have undercutting phenomenon, and the minimum number of teeth can be one, so that the bevel gear has remarkable meaning for realizing light weight of the gear and the transmission device thereof.
Description
Technical field
The present invention relates to a kind of gear, particularly a kind of helical gear.
Background technique
Gear is a kind of typical mechanical basic part, is widely used in the every field of national economy.In mechanical transmission, gear is to guarantee its transmission accuracy by special flank profil.In various gear transmissions, Involutes Gears Transmission is because many advantages such as the separability of its centre distance and manufacturing, measurement convenience make it obtain using widely.But involute gear also exists some shortcomings, and is far away more from node such as contact points, and the speed of slide relative is also big more between two mesh tooth faces, and these wearing and tearing for the flank of tooth, transmission stability, transmission efficiency and gear life etc. all have adverse effect; Secondly the transmission of involute external gear pump is the engagement driving of double wedge to double wedge, and from contact strength, the bearing capacity of this gear is poor.Along with producing and development of science and technology, high speed, heavy duty, powerful gear drive are had higher requirement, so circular tooth gear has obtained great development.Circular tooth gear is the some Contact Transmission form with the convex and concave teeth engagement, and its outstanding advantage is to have very high contact strength.And circular tooth gear has good running-in, its normal radius of curvature is more much bigger than the normal radius of curvature of involute gear, therefore compare with involute gear, its contact strength is greatly enhanced, but it also exists such as to some shortcomings such as centre distance sensitivity, teeth bending strength be low, hindered the raising of its bearing capacity and transmission accuracy, be difficult to satisfy of the requirement of some key areas the circular tooth gear transmission device.
Therefore a kind of gear of current needs can have the advantage of involute gear and circular tooth gear concurrently, satisfies the requirement of current social production to high-mechanic, high efficiency, lightweight gear.
Summary of the invention
In view of this, the invention provides a kind of tooth curve is the helical gear that circular arc and involute combine, it has had involute gear centre distance separability concurrently, makes advantages such as simple, that measurement is convenient and the circular tooth gear contact strength is big, running-in is good, has improved the transmission performance of gear.
Tooth curve of the present invention is the helical gear that circular arc and involute combine, described tooth profile of helical gear curve comprises tooth top dome arc, involute line segment and the tooth root concave circular arc line segment that connects successively from the tooth top to the tooth root, described tooth top dome arc and tooth root concave circular arc line segment are all tangent with the involute line segment, and tooth root concave circular arc line segment radius is greater than tooth top dome arc radius.
Further, described helical gear tooth profile curve equation is:
Wherein
With
Be parameter,
With
Be respectively the parameter value of involute line segment two-end-point;
With
Be respectively the parameter value of dome curved tooth exterior feature and concave circular arc flank profil end points;
With
Be respectively the radius of curvature of tooth top dome arc and tooth root concave circular arc line segment;
With
Radius for the involute profile two-end-point;
With
Be respectively the exhibition angle of involute profile two-end-point;
Be the involute angle of swing;
Base radius for gear;
Further, described involute end points equates to the perpendicular distance of pitch circle line;
Further, the described helical gear number of teeth is one.
Beneficial effect of the present invention: tooth curve of the present invention is the helical gear that circular arc and involute combine, it has involute gear centre distance separability, and make, measure convenient and advantage such as the circular tooth gear contact strength is big, running-in is good, significantly reduced Contact Stress of Gear, flank of tooth bearing capacity is greatly improved, and Gear Processing of the present invention only needs one hobboing cutter, and is easy to process.The tooth curve that it is special, avoided the Undercutting Phenomenon of master gear, made the minimum number of teeth of this gear can reach 1 tooth, compared with other gears under the equal conditions, reduced gear weight and size greatly, had remarkable meaning for the lightweight that realizes gear and transmission device thereof.
Description of drawings
Below in conjunction with drawings and Examples the present invention is further described.
Fig. 1 is the helical gear Normal section of a present invention tooth curve schematic representation;
Fig. 2 is the helical gear Normal section of a present invention overall schematic;
Fig. 3 is the space schematic representation of the helical gear flank of tooth of the present invention.
Embodiment
Fig. 1 is the helical gear Normal section of a present invention tooth curve schematic representation; Fig. 2 is the helical gear Normal section of a present invention overall schematic; Fig. 3 is the space schematic representation of the helical gear flank of tooth of the present invention.
As shown in Figure 1: its tooth curve of present embodiment helical gear comprises tooth top dome arc 1, involute line segment 2 and the tooth root concave circular arc line segment 3 that connects successively from the tooth top to the tooth root, described tooth top circular arc 1 and tooth root circular arc 3 are all tangent with involute line segment 2, and tooth root concave circular arc line segment 3 radiuses are greater than tooth top dome arc 1 radius.The helical gear special tooth profile curve of the present invention, make this helical gear have involute gear centre distance separability, and make, measure convenient and advantage such as the circular tooth gear contact strength is big, running-in is good, significantly reduced Contact Stress of Gear, flank of tooth bearing capacity is greatly improved, and Gear Processing of the present invention only needs one hobboing cutter, and is easy to process.
The helical gear tooth profile curve equation of the present invention is:
Wherein
With
Be parameter,
With
Be respectively the parameter value of involute line segment two-end-point;
With
Be respectively the parameter value of dome curved tooth exterior feature and concave circular arc flank profil end points;
With
Be respectively the radius of curvature of tooth top dome arc and tooth root concave circular arc line segment;
With
Radius for the involute profile two-end-point;
With
Be respectively the exhibition angle of involute profile two-end-point;
Be the involute angle of swing;
Base radius for gear.
In the present embodiment: the difference that tooth root concave circular arc line segment 3 radiuses subtract tooth top dome arc 1 radius equals the twice of the selected modulus of gear, the helical gear modulus is 8mm in the present embodiment, the number of teeth is 6, pressure angle is 20 °, to be 0.8mm(be involute line segment 2 two-end-points to the involute two-end-point equates to the distance of pitch circle line 4 to the distance of pitch circle line 4, can make the helical gear transmission more steady), addendum is 2.4mm, dedendum of the tooth is 4.8mm, pitch is 25.2327mm, Outside radius is 3mm, and root radius is 19mm; Present embodiment helical gear Normal section schematic representation as shown in Figure 2.
The helical gear number of teeth of the present invention is minimum can be one, and the gear of comparing other type when velocity ratio and modulus are certain, can significantly reduce gear-driven size and weight, realizes the lightweight of gear and transmission device.Fig. 3 is the helical gear gear teeth face of a monodentate space schematic representation in concrete the enforcement, and tooth top dome arc helicoid 5 is made up of tooth top dome arc 1 among the figure, and tooth root concave circular arc helicoid 6 is made up of concave circular arc line segment 3, and involute helicoid 7 is made up of involute line segment 2.The involute helicoid zone is the Line of contact zone, and contact line length is different and different with the engaging position, instantaneous line contact.Instantaneous contact line is an oblique line, and length changes over time.At convex-concave circular helicoid and involute helicoid adjacent, the convex-concave engagement.
Explanation is at last, above embodiment is only unrestricted in order to technological scheme of the present invention to be described, although the present invention is had been described in detail with reference to preferred embodiment, those of ordinary skill in the art is to be understood that, can make amendment or be equal to replacement technological scheme of the present invention, and not breaking away from the aim and the scope of technical solution of the present invention, it all should be encompassed in the middle of the claim scope of the present invention.
Claims (4)
1. a tooth curve is the helical gear that circular arc and involute combine, it is characterized in that: described tooth profile of helical gear curve comprises tooth top dome arc (1), involute line segment (2) and the tooth root concave circular arc line segment (3) that connects successively from the tooth top to the tooth root, described tooth top dome arc (1) and tooth root concave circular arc line segment (3) are all tangent with involute line segment (2), and tooth root concave circular arc line segment (3) radius is greater than tooth top dome arc (1) radius.
2. tooth curve according to claim 1 is the helical gear that circular arc and involute combine, and it is characterized in that: described helical gear tooth profile curve equation is:
Wherein
With
Be parameter,
With
Be respectively the parameter value of involute line segment two-end-point;
With
Be respectively the parameter value of dome curved tooth exterior feature and concave circular arc flank profil end points;
With
Be respectively the radius of curvature of tooth top dome arc and tooth root concave circular arc line segment;
With
Radius for the involute profile two-end-point;
With
Be respectively the exhibition angle of involute profile two-end-point;
Be the involute angle of swing;
Base radius for gear.
3. tooth curve according to claim 2 is the helical gear that circular arc and involute combine, and it is characterized in that: described involute line segment (2) two-end-point equates to the perpendicular distance of pitch circle line (4).
4. tooth curve according to claim 3 is the helical gear that circular arc and involute combine, and it is characterized in that: the described helical gear number of teeth is one.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201110023995 CN102072308A (en) | 2011-01-21 | 2011-01-21 | Bevel gear with combined arc tooth profile curves and involute tooth profile curves |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201110023995 CN102072308A (en) | 2011-01-21 | 2011-01-21 | Bevel gear with combined arc tooth profile curves and involute tooth profile curves |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN102072308A true CN102072308A (en) | 2011-05-25 |
Family
ID=44030979
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 201110023995 Pending CN102072308A (en) | 2011-01-21 | 2011-01-21 | Bevel gear with combined arc tooth profile curves and involute tooth profile curves |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN102072308A (en) |
Cited By (13)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102330805A (en) * | 2011-11-07 | 2012-01-25 | 上海师范大学 | Novel straight-tooth bevel gear |
| CN102359568A (en) * | 2011-10-26 | 2012-02-22 | 涂鹏远 | Tu's involute arc gear tooth |
| CN102829155A (en) * | 2012-09-10 | 2012-12-19 | 三一能源重工有限公司 | Method for shaping cylindrical gear |
| CN103711840A (en) * | 2013-12-31 | 2014-04-09 | 汕头三辉无纺机械厂有限公司 | High-speed gear transmission mechanism of needling machine |
| CN103939575A (en) * | 2014-04-10 | 2014-07-23 | 重庆大学 | Point contact gear and meshing pair based on conjugate curves and machining tool thereof |
| CN104832622A (en) * | 2015-05-20 | 2015-08-12 | 蒋桂云 | Harmonic reducer of improved structure |
| CN106321776A (en) * | 2016-09-26 | 2017-01-11 | 重庆大学 | Bevel gear with double-point contact tooth profile curve |
| CN108036038A (en) * | 2017-12-07 | 2018-05-15 | 西南大学 | A kind of herringbone bear of circular arc parabola Multi-contact |
| CN110052666A (en) * | 2019-04-26 | 2019-07-26 | 南京高速齿轮制造有限公司 | A kind of Two bors d's oeuveres curvilinear style gear hob |
| CN110645319A (en) * | 2019-09-24 | 2020-01-03 | 武汉理工大学 | Multi-tooth-profile meshing cylindrical gear transmission |
| CN110848331A (en) * | 2019-11-11 | 2020-02-28 | 天津工业大学 | Novel gear orthogonal transmission mechanism |
| CN111902657A (en) * | 2018-04-05 | 2020-11-06 | 株式会社美姿把 | Speed reduction mechanism and motor with speed reduction mechanism |
| CN113536483A (en) * | 2018-05-29 | 2021-10-22 | 中国航发常州兰翔机械有限责任公司 | Method for measuring and calculating parameters of involute gear and application thereof |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| GB439908A (en) * | 1934-09-28 | 1935-12-17 | Brown David & Sons Ltd | Improvements in rotors for pumps and blowers |
| CN1282642A (en) * | 1999-07-29 | 2001-02-07 | 黄小平 | Gear-rack with only rolling contact and its cutting tool |
-
2011
- 2011-01-21 CN CN 201110023995 patent/CN102072308A/en active Pending
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| GB439908A (en) * | 1934-09-28 | 1935-12-17 | Brown David & Sons Ltd | Improvements in rotors for pumps and blowers |
| CN1282642A (en) * | 1999-07-29 | 2001-02-07 | 黄小平 | Gear-rack with only rolling contact and its cutting tool |
Cited By (23)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102359568A (en) * | 2011-10-26 | 2012-02-22 | 涂鹏远 | Tu's involute arc gear tooth |
| CN102330805B (en) * | 2011-11-07 | 2014-04-02 | 上海师范大学 | Straight-tooth bevel gear |
| CN102330805A (en) * | 2011-11-07 | 2012-01-25 | 上海师范大学 | Novel straight-tooth bevel gear |
| CN102829155A (en) * | 2012-09-10 | 2012-12-19 | 三一能源重工有限公司 | Method for shaping cylindrical gear |
| CN102829155B (en) * | 2012-09-10 | 2015-04-15 | 三一能源重工有限公司 | Method for shaping cylindrical gear |
| CN103711840A (en) * | 2013-12-31 | 2014-04-09 | 汕头三辉无纺机械厂有限公司 | High-speed gear transmission mechanism of needling machine |
| CN103939575A (en) * | 2014-04-10 | 2014-07-23 | 重庆大学 | Point contact gear and meshing pair based on conjugate curves and machining tool thereof |
| CN103939575B (en) * | 2014-04-10 | 2016-05-11 | 重庆大学 | Point contact gear, Meshing Pair and process tool thereof based on conjugate curves |
| CN104832622A (en) * | 2015-05-20 | 2015-08-12 | 蒋桂云 | Harmonic reducer of improved structure |
| CN106321776B (en) * | 2016-09-26 | 2019-09-17 | 重庆大学 | Helical gear with two point contact tooth curve |
| CN106321776A (en) * | 2016-09-26 | 2017-01-11 | 重庆大学 | Bevel gear with double-point contact tooth profile curve |
| CN108036038A (en) * | 2017-12-07 | 2018-05-15 | 西南大学 | A kind of herringbone bear of circular arc parabola Multi-contact |
| CN108036038B (en) * | 2017-12-07 | 2023-12-29 | 西南大学 | Herringbone gear with arc parabola and multipoint contact |
| CN111902657A (en) * | 2018-04-05 | 2020-11-06 | 株式会社美姿把 | Speed reduction mechanism and motor with speed reduction mechanism |
| US11894753B2 (en) | 2018-04-05 | 2024-02-06 | Mitsuba Corporation | Deceleration mechanism and motor having deceleration mechanism installed therein |
| CN111902657B (en) * | 2018-04-05 | 2024-03-08 | 株式会社美姿把 | Speed reducing mechanism and motor with same |
| CN113536483A (en) * | 2018-05-29 | 2021-10-22 | 中国航发常州兰翔机械有限责任公司 | Method for measuring and calculating parameters of involute gear and application thereof |
| CN113536483B (en) * | 2018-05-29 | 2023-11-10 | 中国航发常州兰翔机械有限责任公司 | Application of measuring and calculating method of involute gear parameters |
| CN110052666A (en) * | 2019-04-26 | 2019-07-26 | 南京高速齿轮制造有限公司 | A kind of Two bors d's oeuveres curvilinear style gear hob |
| CN110052666B (en) * | 2019-04-26 | 2024-03-01 | 南京高速齿轮制造有限公司 | Double-spelling curve type gear hob |
| CN110645319A (en) * | 2019-09-24 | 2020-01-03 | 武汉理工大学 | Multi-tooth-profile meshing cylindrical gear transmission |
| CN110645319B (en) * | 2019-09-24 | 2023-01-24 | 武汉理工大学 | Multi-tooth-profile meshing cylindrical gear transmission |
| CN110848331A (en) * | 2019-11-11 | 2020-02-28 | 天津工业大学 | Novel gear orthogonal transmission mechanism |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN102072308A (en) | Bevel gear with combined arc tooth profile curves and involute tooth profile curves | |
| CN101975264B (en) | Involute arc tooth profile bevel gear and meshing pair thereof | |
| US10550914B2 (en) | Concave-convex arc line gear mechanism for parallel shaft transmission | |
| RU2010148371A (en) | GEAR | |
| JP2009210329A (en) | Volumetric flowmeter and helical gear | |
| CN105605196B (en) | High intensity low vibration low noise spiral gear drive mechanism | |
| CN106321776B (en) | Helical gear with two point contact tooth curve | |
| CN202251810U (en) | Segmented curve gear | |
| CN102374273A (en) | Tooth profile design of dual-pressure angle involute helical tooth externally-meshed cylindrical gear | |
| CN108036038B (en) | Herringbone gear with arc parabola and multipoint contact | |
| CN101550935A (en) | Twin-screw compressor screw rotor tooth profile | |
| CN203146313U (en) | Internally-meshed gear pump | |
| CN203453051U (en) | Oil pump rotor | |
| CN107327559B (en) | Circular arc parabola multi-point contact helical gear | |
| CN103234006A (en) | Differential gear train of double circular arc modified cycloid gear | |
| CN103352971A (en) | Involute ring surface gear transmission | |
| WO2005060650B1 (en) | Gear tooth profile curvature | |
| CN104948450A (en) | Oil pump rotor | |
| CN202349153U (en) | Single-cut double-arc gear | |
| CN113062961B (en) | Low-slip-rate gear and design method thereof | |
| CN1651766A (en) | Arc screw tooth shape of large flow double screw pump | |
| CN203175844U (en) | Oil pump rotor | |
| CN208831621U (en) | A kind of point-line meshing worm gearing | |
| CN203189631U (en) | Double-arc correcting cycloid gear differential gear train | |
| CN110645319B (en) | Multi-tooth-profile meshing cylindrical gear transmission |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| C12 | Rejection of a patent application after its publication | ||
| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20110525 |