CN103223533B - Method for designing side rear angle surfaces of double-enveloping ring surface worm gear hob - Google Patents
Method for designing side rear angle surfaces of double-enveloping ring surface worm gear hob Download PDFInfo
- Publication number
- CN103223533B CN103223533B CN201310172562.XA CN201310172562A CN103223533B CN 103223533 B CN103223533 B CN 103223533B CN 201310172562 A CN201310172562 A CN 201310172562A CN 103223533 B CN103223533 B CN 103223533B
- Authority
- CN
- China
- Prior art keywords
- rear corner
- corner surface
- side rear
- helicoid
- enveloping
- 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.)
- Active
Links
Landscapes
- Gear Processing (AREA)
Abstract
The invention relates to a method for designing side rear angle surfaces of a double-enveloping ring surface worm gear hob and belongs to a design method for a ring surface worm gear hob. The method comprises the following steps of: according to a given blade belt width, acquiring two side blade belt surfaces and two side rear angle surface start lines of each cutter tooth; according to a formation principle of a hob spiral surface, respectively acquiring a spiral surface lead angle of each point on the two side rear angle surface start lines, and according to a given rear angle surface angle, acquiring a rear angle surface lead angle of each point on the two side rear angle surface start lines; according to the rear angle surface lead angle, respectively acquiring a rear angle surface forming transmission ratio of each point on the two side rear angle surface start lines; and according to the rear angle surface forming transmission ratio, respectively acquiring a right side family of curves on a right side rear angle surface and a left side family of curves on a left side rear angle surface, and thus obtaining two side rear angle surfaces. The shape design of the side rear angle surfaces is provided for realizing the numerical control processing of the side rear angle surfaces of the double-enveloping ring surface worm gear hob.
Description
Technical field
The present invention relates to a kind of method for designing of twice-enveloping enveloping worm hob side relief, belong to the method for designing of enveloping worm hob.In particular to a kind of method for designing of double enveloping worm gear hob side relief, to meet the digital control processing demand of double enveloping worm gear hob side relief.
Background technology
Compare with cylindrical worm gearing transmission, enveloping worm drive bearing capacity is strong, volume is little, transmission efficiency is high, long service life, be widely used in the transmission device of mining and metallurgy, petrochemical industry, lifting transport, boats and ships, power and light industry and machinery, especially the twice-enveloping enveloping worm drive of plane, Double-conical-surface etc., than double enveloping worm gearing, there is more superior performance.But, making for the twice-enveloping enveloping worm hob of rolling cut worm gear is very complicated, and be difficult to make, because twice-enveloping enveloping worm hob has identical helicoid with the worm screw of twice-enveloping enveloping worm drive, the cutting edge of its each cutter tooth both sides is different curves, on blade curve often on hobboing cutter helicoid helical angle all different, and each cutter tooth needs reservation width be that the twice-enveloping enveloping worm worm gear hob helicoid of 0.1-0.2mm is as blade band, and grinding relief angles is the side relief of 6-8 °, therefore, the shape of side relief is unknown.
In order to solve the processing of twice-enveloping enveloping worm hob side relief, Chinese patent (ZL93120467.4) cuts shape trimming wheel by the normal direction of each cutter tooth, by screwfeed, adopt the method process side rear corner surface of grinding, to control blade bandwidth, but need during each cutter tooth of grinding to repair different grinding wheel section shapes, and side relief angle can not ensure unanimously; Chinese patent (ZL201010104684.1) and Chinese patent (application number 201110206581.0) are by changing the gearratio grinding side relief of hobboing cutter and emery wheel place workbench, adopt the tapered plane emery wheel that truncated cone-shaped emery wheel grinding-head and tapering pressure abrading block support respectively, but margin width can not ensure with side relief angle consistent.
Summary of the invention
The object of the invention is the method for designing that a kind of twice-enveloping enveloping worm hob side relief will be provided, for the digital control processing realizing twice-enveloping enveloping worm hob side relief provides the profile design of side relief.
Each cutter tooth that the technical scheme taked to reach object of the present invention comprises twice-enveloping enveloping worm hob is made up of tooth top anchor ring 1, tooth root anchor ring 2, rake face 3, rear knife face 4, right side helicoid 5, left side helicoid 6, right side rear corner surface 7, left side rear corner surface 8, and rake face 3 is respectively right side cutting edge 9 and left side cutting edge 10 with the intersection of right side helicoid 5 and left side helicoid 6; According to given blade bandwidth, right side rear corner surface start line 11 and left side rear corner surface start line 12 is obtained respectively on right side helicoid 5 and left side helicoid 6, the part of right side helicoid 5 between right side cutting edge 9 and right side rear corner surface start line 11 is land face, right side 13, and the part of left side helicoid 6 between left side cutting edge 10 and left side rear corner surface start line 12 is land face, left side 14; By the formation basic theory of right side helicoid 5 and left side helicoid 6, to try to achieve in right side rear corner surface start line 11 the left side helicoid lead angle of each point on left side helicoid 6 in the right side helicoid lead angle of each point on right side helicoid 5, left side rear corner surface start line 12 respectively, according to given rear corner surface angle, by increase and decrease rear corner surface angle, to obtain in right side rear corner surface start line 11 the left side rear corner surface lead angle of each point in left side rear corner surface 8 in the right side rear corner surface lead angle of each point in right side rear corner surface 7, left side rear corner surface start line 12 respectively; By right side rear corner surface lead angle and left side rear corner surface lead angle, try to achieve the anchor ring corner of twice-enveloping enveloping worm hob in the anchor ring corner of the twice-enveloping enveloping worm hob in right side rear corner surface start line 11 corresponding to each point and ratio i.e. right side rear corner surface shaping gearratio, the left side rear corner surface start line 12 of axial corner corresponding to each point and the ratio i.e. left side rear corner surface shaping gearratio of axial corner respectively; According to right side rear corner surface shaping gearratio and left side rear corner surface shaping gearratio, rotate twice-enveloping enveloping worm hob, the right side graph race 15 in the rear corner surface 7 of right side and leftmost curve race 16 in left side rear corner surface 8 can be tried to achieve respectively, thus obtain right side rear corner surface 7 and left side rear corner surface 8(as figure).
Beneficial effect of the present invention is, according to right side rear corner surface 7 and the left side rear corner surface 8 of the twice-enveloping enveloping worm hob obtained, Digit Control Machine Tool can be adopted to process two side relief of twice-enveloping enveloping worm hob by the method for Machining of Curved Surface, realize the digital control processing of twice-enveloping enveloping worm hob two side relief, obtain the twice-enveloping enveloping worm hob of margin width and the side relief angles needed.
Accompanying drawing explanation
Fig. 1 is that two side relief of the single cutter tooth of twice-enveloping enveloping worm hob form schematic diagram;
Fig. 2 is that the single cutter tooth of twice-enveloping enveloping worm hob is containing the schematic diagram during helicoid of both sides;
Fig. 3 is the schematic diagram of single cutter tooth containing both sides helicoid and two side relief start lines of twice-enveloping enveloping worm hob;
Fig. 4 is two side relief schematic diagrames of the single cutter tooth of twice-enveloping enveloping worm hob.
Detailed description of the invention
With reference to the accompanying drawings embodiments of the invention are described below.
Fig. 1 is the schematic diagram that two side relief of the single cutter tooth of twice-enveloping enveloping worm hob are formed, this twice-enveloping enveloping worm hob is used for the worm gear of rolling cut planar double-enveloping toroid worm gear, the parameter of planar double-enveloping toroid worm gear is: centre-to-centre spacing a=225mm, the head number z of right-hand worm
1=2, worm gear number of teeth z
2=64, gearratio i
12=32, reference diameter of worm d
1=80mm, reference circle of wormwheel diameter d
2=370mm.
By the principle of planar double enveloping worm, the tooth top anchor ring 1 of the single cutter tooth of hobboing cutter, tooth root anchor ring 2, right side helicoid 5 and left side helicoid 6 can be obtained, after opening straight chip flute, obtain rake face 3 and the rear knife face 4 of each cutter tooth, rake face 3 is right side cutting edge 9 and left side cutting edge 10 with the intersection of right side helicoid 5 and left side helicoid 6 respectively.Now, the single cutter tooth of twice-enveloping enveloping worm hob contains both sides helicoid, as Fig. 2 shows.
According to given blade bandwidth e=0.2mm, right side rear corner surface start line 11 and left side rear corner surface start line 12 is obtained respectively on right side helicoid 5 and left side helicoid 6, the part of right side helicoid 5 between right side cutting edge 9 and right side rear corner surface start line 11 is land face, right side 13, and the part of left side helicoid 6 between left side cutting edge 10 and left side rear corner surface start line 12 is land face, left side 14.Now, the single cutter tooth of twice-enveloping enveloping worm hob contains both sides helicoid and two side relief start lines, as Fig. 3 shows.
By the formation basic theory of the planar double enveloping worm helicoid of right side helicoid 5 and left side helicoid 6, try to achieve the right side helicoid lead angle λ of each point on right side helicoid 5 in right side rear corner surface start line 11 respectively
1, the left side helicoid lead angle λ of each point on left side helicoid 6 in left side rear corner surface start line 12
2, each cutter tooth is from tooth top anchor ring 1 to the right side helicoid lead angle λ on the different anchor rings of tooth root anchor ring 2
1with left side helicoid lead angle λ
2all different.According to given rear corner surface angle λ=6 °, by increase and decrease rear corner surface angle, obtain the right side rear corner surface lead angle λ of each point in right side rear corner surface 7 in right side rear corner surface start line 11 respectively
3=λ
1the left side rear corner surface lead angle λ of each point in left side rear corner surface 8 in+λ, left side rear corner surface start line 12
4=λ
2-λ.
By right side rear corner surface lead angle λ
3with left side rear corner surface lead angle λ
4, according to i
dg=2R
1tan λ
3,4/ d
2, try to achieve the anchor ring corner of the twice-enveloping enveloping worm hob in right side rear corner surface start line 11 corresponding to each point and the ratio i.e. right side rear corner surface shaping gearratio i of circumferential corner
dg1, the anchor ring corner of twice-enveloping enveloping worm hob in left side rear corner surface start line 12 corresponding to each point and the ratio i.e. left side rear corner surface shaping gearratio i of circumferential corner
dg2, wherein R
1for the radius of gyration of each point in each point in right side rear corner surface start line 11 and left side rear corner surface start line 12; According to right side rear corner surface shaping gearratio i
dg1with left side rear corner surface shaping gearratio i
dg2, rotate twice-enveloping enveloping worm hob, can try to achieve respectively in the rear corner surface 7 of right side and only draw out 3 in the family of curves 15(Fig. 1 of right side) and left side rear corner surface 8 upper left side family of curves 16(Fig. 1 in only draw out 3).
Right side rear corner surface 7 can be obtained by right side graph race 15, left side rear corner surface 8, i.e. two side relief of the single cutter tooth of twice-enveloping enveloping worm hob can be obtained, as Fig. 4 shows by leftmost curve race 16.
According to two side relief of the single cutter tooth of the twice-enveloping enveloping worm hob designed, Digit Control Machine Tool can be adopted to process two side relief of twice-enveloping enveloping worm hob by the method for Machining of Curved Surface, obtain the twice-enveloping enveloping worm hob of margin width and the side relief angles needed.
Claims (1)
1. the method for designing of twice-enveloping enveloping worm hob side relief, it is characterized in that, comprise: each cutter tooth of twice-enveloping enveloping worm hob is made up of tooth top anchor ring (1), tooth root anchor ring (2), rake face (3), rear knife face (4), right side helicoid (5), left side helicoid (6), right side rear corner surface (7), left side rear corner surface (8), rake face (3) is respectively right side cutting edge (9) and left side cutting edge (10) with the intersection of right side helicoid (5) and left side helicoid (6), according to given blade bandwidth, right side rear corner surface start line (11) and left side rear corner surface start line (12) is obtained respectively on right side helicoid (5) and left side helicoid (6), right side helicoid (5) part between right side cutting edge (9) and right side rear corner surface start line (11) is land face, right side (13), and the part of left side helicoid (6) between left side cutting edge (10) and left side rear corner surface start line (12) is land face, left side (14), by the formation basic theory of right side helicoid (5) and left side helicoid (6), try to achieve the upper right side helicoid lead angle of each point on right side helicoid (5) in right side rear corner surface start line (11) respectively, the upper left side helicoid lead angle of each point on left side helicoid (6) in left side rear corner surface start line (12), according to given rear corner surface angle, by increase and decrease rear corner surface angle, obtain the upper right side rear corner surface lead angle of each point in right side rear corner surface (7) in right side rear corner surface start line (11) respectively, the upper left side rear corner surface lead angle of each point in left side rear corner surface (8) in left side rear corner surface start line (12), by right side rear corner surface lead angle and left side rear corner surface lead angle, according to rear corner surface shaping gear ratio calculation formula i=2R
1tan λ/d
2, wherein R
1for the radius of gyration of the upper each point of the upper each point in right side rear corner surface start line (11) and left side rear corner surface start line (12), d
2for reference circle of wormwheel diameter, λ is right side rear corner surface lead angle and left side rear corner surface lead angle, tries to achieve the anchor ring corner of the upper twice-enveloping enveloping worm hob corresponding to each point in right side rear corner surface start line (11) and the ratio i.e. left side rear corner surface shaping gearratio of the ratio i.e. right side rear corner surface shaping gearratio of axial corner, the anchor ring corner of the upper twice-enveloping enveloping worm hob corresponding to each point in left side rear corner surface start line (12) and axial corner respectively, according to right side rear corner surface shaping gearratio and left side rear corner surface shaping gearratio, rotate twice-enveloping enveloping worm hob, the right side graph race (15) in the right side rear corner surface (7) of twice-enveloping enveloping worm hob and the leftmost curve race (16) in left side rear corner surface (8) can be tried to achieve respectively, obtain right side rear corner surface (7) by right side graph race (15), obtain left side rear corner surface (8) by leftmost curve race (16).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201310172562.XA CN103223533B (en) | 2013-05-10 | 2013-05-10 | Method for designing side rear angle surfaces of double-enveloping ring surface worm gear hob |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201310172562.XA CN103223533B (en) | 2013-05-10 | 2013-05-10 | Method for designing side rear angle surfaces of double-enveloping ring surface worm gear hob |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN103223533A CN103223533A (en) | 2013-07-31 |
| CN103223533B true CN103223533B (en) | 2015-04-15 |
Family
ID=48834300
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201310172562.XA Active CN103223533B (en) | 2013-05-10 | 2013-05-10 | Method for designing side rear angle surfaces of double-enveloping ring surface worm gear hob |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN103223533B (en) |
Families Citing this family (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104440419B (en) * | 2014-11-04 | 2016-09-21 | 中国农业大学 | The numerical control grinding and machining method of planar secondary enveloping ring surface worm gear hob side relief |
| CN104722851B (en) * | 2015-03-06 | 2017-04-12 | 天津大学 | Envelope planing formation method of straight bevel gear |
| CN105522227B (en) * | 2015-12-13 | 2018-05-25 | 北京工业大学 | A kind of profile correction method for cycloid bevel gears processing cutter tooth main cutting edge |
| CN114147419B (en) * | 2021-12-08 | 2022-08-19 | 天津理工大学 | Design method of side rear angle surface of torus worm gear hob |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1101871A (en) * | 1993-12-17 | 1995-04-26 | 天津华盛昌齿轮有限公司 | Method for grinding tooth back of worm hob with secondary enveloping ring surface |
| CN201267905Y (en) * | 2007-12-29 | 2009-07-08 | 山东省德州市金宇机械有限公司 | Planar secondary enveloping ring surface worm gear hob |
| CN101791772A (en) * | 2010-01-29 | 2010-08-04 | 浙江大学 | Numerical control relief grinding method for enveloping worm hob and machine tool for realizing same |
| CN102275016A (en) * | 2011-07-22 | 2011-12-14 | 重庆大学 | Double-side accurate grinding method and equipment for toothed surface of toroid enveloping worm |
| CN202174298U (en) * | 2011-07-29 | 2012-03-28 | 台州金剑机械制造有限公司 | Finish machining cutter for machining torus worm wheels |
-
2013
- 2013-05-10 CN CN201310172562.XA patent/CN103223533B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1101871A (en) * | 1993-12-17 | 1995-04-26 | 天津华盛昌齿轮有限公司 | Method for grinding tooth back of worm hob with secondary enveloping ring surface |
| CN201267905Y (en) * | 2007-12-29 | 2009-07-08 | 山东省德州市金宇机械有限公司 | Planar secondary enveloping ring surface worm gear hob |
| CN101791772A (en) * | 2010-01-29 | 2010-08-04 | 浙江大学 | Numerical control relief grinding method for enveloping worm hob and machine tool for realizing same |
| CN102275016A (en) * | 2011-07-22 | 2011-12-14 | 重庆大学 | Double-side accurate grinding method and equipment for toothed surface of toroid enveloping worm |
| CN202174298U (en) * | 2011-07-29 | 2012-03-28 | 台州金剑机械制造有限公司 | Finish machining cutter for machining torus worm wheels |
Also Published As
| Publication number | Publication date |
|---|---|
| CN103223533A (en) | 2013-07-31 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN103223533B (en) | Method for designing side rear angle surfaces of double-enveloping ring surface worm gear hob | |
| CN207309044U (en) | A kind of reducing layered milling cutter | |
| CN104209565B (en) | A kind of three sword forming cutters | |
| CN204053052U (en) | A kind of three sword forming cutters | |
| CN102441711B (en) | Single-side edge tooth cutting tool for cylindrical gear | |
| CN104440419A (en) | Numerical control grinding method for planar double-enveloping ring surface worm gear hob rear side edged surfaces | |
| CN102922010B (en) | Self-lubricating twist drill and machining method thereof | |
| CN104400095A (en) | End face seal groove processing method | |
| CN204234845U (en) | A kind of three sword aluminium milling cutters | |
| CN103464997B (en) | One is scrapped race tapering milling cutter recycling method | |
| CN203817523U (en) | Anti-vibration reamer | |
| CN204148600U (en) | A kind of PCD maize milling cutter | |
| CN105921826A (en) | Hourglass worm turning and grinding complex machine tool based on turning center | |
| CN202174298U (en) | Finish machining cutter for machining torus worm wheels | |
| CN204183046U (en) | Band fillet dovetail escape gear shaver | |
| CN203209804U (en) | Composite cutter bar for pipe thread machining | |
| CN104690368A (en) | Spiral gear processing method | |
| CN203739022U (en) | Reducer special for stone cutter and having grinding head | |
| CN203091885U (en) | Chamfering machine and chamfering tool | |
| CN201519790U (en) | Dual lead end milling cutter | |
| CN207629324U (en) | Process the hobboing cutter of screw rotor | |
| RU103771U1 (en) | WORM TYPE TOOL FOR CLEAN PROCESSING OF GEARS | |
| CN203621645U (en) | Straight outline helicoid worm gear | |
| CN205183930U (en) | Two circular arc plunger broaches | |
| CN104191011B (en) | A kind of three sword aluminium milling cutters |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant |