CN104440419B - The numerical control grinding and machining method of planar secondary enveloping ring surface worm gear hob side relief - Google Patents
The numerical control grinding and machining method of planar secondary enveloping ring surface worm gear hob side relief Download PDFInfo
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- CN104440419B CN104440419B CN201410613061.5A CN201410613061A CN104440419B CN 104440419 B CN104440419 B CN 104440419B CN 201410613061 A CN201410613061 A CN 201410613061A CN 104440419 B CN104440419 B CN 104440419B
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- hobboing cutter
- rear corner
- point
- turntable
- corner surface
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B3/00—Sharpening cutting edges, e.g. of tools; Accessories therefor, e.g. for holding the tools
- B24B3/02—Sharpening cutting edges, e.g. of tools; Accessories therefor, e.g. for holding the tools of milling cutters
- B24B3/12—Sharpening cutting edges, e.g. of tools; Accessories therefor, e.g. for holding the tools of milling cutters of hobs
Abstract
The present invention relates to the numerical control grinding and machining method of a kind of planar secondary enveloping ring surface worm gear hob side relief, the processing method belonging to planar secondary enveloping ring surface worm gear hob.Obtain each point unit normal vector on blade zone face in each cutter tooth two side relief start line；According to given side relief angle, obtain each point unit normal vector on two side relief in two side relief start lines；Adjust hobboing cutter corner makes emery wheel generating surface law vector consistent with each point unit normal vector on two side relief in two side relief start lines respectively with turntable corner, adjust turntable center relative to the radial distance at hobboing cutter center and axial distance, make each point cantact in emery wheel generating surface respectively with two side relief start line, and making grinding wheel cylindrical tangent with hobboing cutter tooth root anchor ring, grinding goes out to ensure planar secondary enveloping ring surface worm gear hob two side relief of blade bandwidth concordance and side relief angle.Realize the numerical control grinding processing of planar secondary enveloping ring surface worm gear hob side relief.
Description
Technical field
The present invention relates to the numerical control grinding and machining method of a kind of planar secondary enveloping ring surface worm gear hob side relief, belong to plane two
The processing method of secondary double enveloping worm gear hob.The flat of blade bandwidth concordance and side relief angle is ensured particularly to a kind of
The grinding processing method of face twice-enveloping enveloping worm hob side relief, in order to meet and have that blade bandwidth is conforming and side
The digital control processing demand of the planar secondary enveloping ring surface worm gear hob side relief of rear corner surface angle.
Background technology
Comparing with cylindrical worm gearing transmission, enveloping worm drive bearing capacity is strong, volume is little, transmission efficiency is high, service life is long,
It is widely used in mining and metallurgy, petrochemical industry, lifting transport, boats and ships, power and the actuating device of light industry and machinery, especially plane, Double-conical-surface
Deng twice-enveloping enveloping worm drive, ratio double enveloping worm gearing, there is more superior performance.But, for rolling cut snail
The making of the twice-enveloping enveloping worm hob of wheel is sufficiently complex, and is difficult to make, because twice-enveloping enveloping worm hob and two
The worm screw of secondary double enveloped hourglass worm drives has identical helicoid, and the cutting edge of each of which cutter tooth both sides is all different curve, sword
On mouthful curve every on hobboing cutter helicoid helical angle the most different, and needing on each cutter tooth to retain width is 0.1-0.2mm
Twice-enveloping enveloping worm worm gear hob helicoid as blade band, and grinding relief angles is the side relief of 6-8 °.
In order to solve the processing of twice-enveloping enveloping worm hob side relief, Chinese patent (ZL93120467.4) presses each cutter
The normal direction of tooth cuts shape finishing emery wheel, by screwfeed, uses the method process side rear corner surface of grinding, to control blade bandwidth,
But need to repair different grinding wheel section shapes during each cutter tooth of grinding, and side relief angle is it cannot be guaranteed that consistent；Chinese patent
(ZL201010104684.1) work by changing hobboing cutter and emery wheel place with Chinese patent (application number 201110206581.0)
The gear ratio grinding side relief of platform, is respectively adopted truncated cone-shaped emery wheel grinding-head and tapered plane emery wheel that tapering pressure abrading block supports, but sword
Bandwidth with side relief angle it cannot be guaranteed that consistent；Chinese patent (application number 201310172562.X) provides twice-enveloping ring
The method for designing of face worm gear hob side relief, after obtaining rear corner surface start line, by the lead angle rotation of each point in rear corner surface start line
Turn corresponding rear corner surface angle, then obtain the helix bunch in rear corner surface by rear corner surface shaping gear ratio, then can use numerical control
By rear corner surface milling out, but working (machining) efficiency is the highest for the method for lathe Machining of Curved Surface.
Summary of the invention
The invention aims to provide a kind of plane-generated double enveloping anchor ring ensureing blade bandwidth concordance and side relief angle
The grinding processing method of worm gear hob side relief, it is achieved there is blade bandwidth concordance and the Planar Quadratic of side relief angle
The numerical control grinding processing of double enveloping worm gear hob side relief.
Each cutter tooth of planar secondary enveloping ring surface worm gear hob by 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 are constituted, rake face 3 and right side helicoid 5
It is respectively right side cutting edge 9 and left side cutting edge 10 with the intersection of left side helicoid 6；According to given blade bandwidth, respectively on the right side
Right side rear corner surface start line 11 and left side rear corner surface start line 12, right side spiral is obtained on side helicoid 5 and left side helicoid 6
The face 5 part between right side cutting edge 9 and right side rear corner surface start line 11 is right side blade zone face 13, and left side helicoid 6 exists
Part between left side cutting edge 10 and left side rear corner surface start line 12 is left side blade zone face 14.
The technical scheme taked to reach the purpose of the present invention includes that P point is any point in right side rear corner surface start line 11,
nP1For right side blade zone face 13 at the unit normal vector of P point, Q point is any point in left side rear corner surface start line 12, nQ1
For left side blade zone face 14 at the unit normal vector of Q point, tPFor right side rear corner surface start line 11 at the tangent vector of P point, tQFor
Left side rear corner surface start line 12 is in the tangent vector of Q point, by unit normal vector nP1Around tangent vector tPAfter rotating forward by the right-hand rule
Edged surface angle λ, by unit normal vector nQ1Around tangent vector tQRotate rear corner surface angle λ by right-hand rule negative sense, respectively obtain the right side
Side relief 7 is at the unit normal vector n of P pointP2With left side rear corner surface 8 at the unit normal vector n of Q pointQ2；O1For hobboing cutter 31
Center, OdFor the center of turntable 32, the center O of turntable 32dCenter O relative to hobboing cutter 311Along hobboing cutter radial distance it is
X, the center O of turntable 32dCenter O relative to hobboing cutter 311It is z along hobboing cutter axial distance；The left sand being connected on turntable 32
On the right side of the left generating surface 17 grinding hobboing cutter of wheel 15 in rear corner surface 7 during P point, it is connected by the axis coaxle controlled with hobboing cutter 31
The B axle that lathe C axle and the axis coaxle with turntable 32 are connected changes hobboing cutter cornerWith turntable cornerMake left generating surface
The law vector of 17 and unit normal vector nP2Unanimously；Radial distance x is changed by the lathe X-axis and Z axis controlling turntable 32 place
With axial distance z, make left generating surface 17 and P point cantact, and make the cylindrical of left emery wheel 15 tangent with the tooth root anchor ring of hobboing cutter 31；
On the left of the right generating surface 18 grinding hobboing cutter of the right emery wheel 16 being connected on turntable 32 in rear corner surface 8 during Q point, by control with
Lathe C axle and the B axle connected with the axis coaxle of turntable 32 that the axis coaxle of hobboing cutter 31 is connected change hobboing cutter cornerWith
Turntable cornerMake law vector and the unit normal vector n of right generating surface 18Q2Unanimously；By controlling the lathe X at turntable 32 place
Axle and Z axis change radial distance x and axial distance z, make right generating surface 18 and Q point cantact, and make right emery wheel 16 cylindrical with
The tooth root anchor ring of hobboing cutter 31 is tangent；Respectively to each point in each point in right side rear corner surface start line 11 and left side rear corner surface start line 12,
Employing said method obtainsThe a series of respective value of x, z, establishment C, B, X and the four-axle linked numerical control program of Z axis,
Grinding goes out right side rear corner surface 7 and left side rear corner surface 8 respectively；Each cutter tooth of hobboing cutter 31 is carried out numerical control grinding as stated above,
Complete the hobboing cutter side relief numerical control grinding processing ensureing blade bandwidth concordance and rear corner surface angle of hobboing cutter 31.
The beneficial effects of the present invention is, by adjusting hobboing cutter cornerWith turntable cornerAnd radial distance x and axial distance
Z carries out numerical control grinding, it is possible to achieve ensure that the hobboing cutter side relief numerical control grinding of blade bandwidth concordance and rear corner surface angle adds
Work.
Accompanying drawing explanation
Fig. 1 is the structural representation of the single cutter tooth of planar secondary enveloping ring surface worm gear hob；
Fig. 2 is on the right side of the planar secondary enveloping ring surface worm gear hob on the four-shaft linkage numerical control machine with C, B, X and Z axis
Rear corner surface grinding schematic diagram；
Fig. 3 is on the left of the planar secondary enveloping ring surface worm gear hob on the four-shaft linkage numerical control machine with C, B, X and Z axis
Rear corner surface grinding schematic diagram；
Fig. 4 is cutter tooth land and the rear flank of the planar secondary enveloping ring surface worm gear hob that nc machining simulation software emulation result shows
Edged surface.
Detailed description of the invention
Below according to accompanying drawing, embodiments of the invention are described.
Planar secondary enveloping ring surface worm gear hob, for the worm gear of rolling cut planar double-enveloping toroid worm gear, takes plane-generated double enveloping
The parameter of enveloping worm pair is: centre-to-centre spacing a=225mm, the head number z of right-hand worm1=2, worm gear number of teeth z2=64, gear ratio i12=32,
Reference diameter of worm d1=80mm, reference circle of wormwheel diameter d2=370mm.
By the principle of planar double-enveloping worm, can obtain 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, after opening straight chip flute, obtain rake face 3 and rear knife face 4, the rake face of each cutter tooth
3 respectively intersection with right side helicoid 5 and left side helicoid 6 be right side cutting edge 9 and left side cutting edge 10；According to given blade
Bandwidth e=0.2mm, after obtaining right side rear corner surface start line 11 and left side respectively on right side helicoid 5 and left side helicoid 6
Edged surface start line 12, the right side helicoid 5 part between right side cutting edge 9 and right side rear corner surface start line 11 is right side land
Face 13, the left side helicoid 6 part between left side cutting edge 10 and left side rear corner surface start line 12 is land face, left side 14, as
Fig. 1 shows.
Right side rear corner surface start line 11 takes 1 P, obtains the right side blade zone face 13 unit normal vector n at P pointP1And it is right
Side relief start line 11 is in tangent vector t of P pointP, left side rear corner surface start line 12 takes 1 Q, obtains left side blade
Zone face 14 is at the unit normal vector n of Q pointQ1And left side rear corner surface start line 12 is in tangent vector t of Q pointQ；After given
Edged surface angle λ=6 °, by unit normal vector nP1Around tangent vector tPRotate forward rear corner surface angle λ by the right-hand rule, per unit system is vowed
Amount nQ1Around tangent vector tQRotate rear corner surface angle λ by right-hand rule negative sense, obtain right side rear corner surface 7 and vow in the per unit system of P point
Amount nP2With left side rear corner surface 8 at the unit normal vector n of Q pointQ2, as Fig. 1 shows.
Digit Control Machine Tool in Fig. 2 has four-axle linked B axle, C axle, X-axis and Z axis, is arranged on C axle by hobboing cutter 31,
Hobboing cutter axis overlaps with Z axis, and throat's mid-plane of hobboing cutter is through X-axis；Left emery wheel 15 is connected on turntable 32, turns
The axis of platform 32 is coaxially connected with B axle；B axle controls turntable cornerC axle controls hobboing cutter cornerX-axis control radially away from
From x, Z axis controls axial distance z.
Digit Control Machine Tool in Fig. 3 has four-axle linked B axle, C axle, X-axis and Z axis, is arranged on C axle by hobboing cutter 31,
Hobboing cutter axis overlaps with Z axis, and throat's mid-plane of hobboing cutter is through X-axis；Right emery wheel 16 is connected on turntable 32, turns
The axis of platform 32 is coaxially connected with B axle；B axle controls turntable cornerC axle controls hobboing cutter cornerX-axis control radially away from
From x, Z axis controls axial distance z.
O1For the center of hobboing cutter 31, OdFor the center of turntable 32, the center O of turntable 32dCenter O relative to hobboing cutter 311
It is x along hobboing cutter radial distance, the center O of turntable 32dCenter O relative to hobboing cutter 311It is z along hobboing cutter axial distance；It is connected
On the right side of the left generating surface 17 grinding hobboing cutter of the left emery wheel 15 on turntable 32 in rear corner surface 7 during P point, by controlling and hobboing cutter
Lathe C axle and the B axle connected with the axis coaxle of turntable 32 that the axis coaxle of 31 is connected change hobboing cutter cornerAnd turntable
CornerMake law vector and the unit normal vector n of left generating surface 17P2Unanimously；By controlling the lathe X-axis at turntable 32 place
Change radial distance x and axial distance z with Z axis, make left generating surface 17 and P point cantact, and make the cylindrical of left emery wheel 15 with
The tooth root anchor ring of hobboing cutter 31 is tangent；Rear corner surface on the left of the right generating surface 18 grinding hobboing cutter of the right emery wheel 16 being connected on turntable 32
On 8 during Q point, the lathe C axle connected with the axis coaxle of hobboing cutter 31 by control and the axis coaxle with turntable 32 are connected
B axle changes hobboing cutter cornerWith turntable cornerMake law vector and the unit normal vector n of right generating surface 18Q2Unanimously；Pass through
The lathe X-axis and the Z axis that control turntable 32 place change radial distance x and axial distance z, make right generating surface 18 and Q point connect
Touch, and make right emery wheel 16 cylindrical tangent with the tooth root anchor ring of hobboing cutter 31；Respectively to each point and a left side in right side rear corner surface start line 11
Each point in side relief start line 12, uses said method to obtainThe a series of respective value of x, z, works out C, B, X
With the four-axle linked numerical control program of Z axis, grinding goes out right side rear corner surface 7 and left side rear corner surface 8 respectively；Each cutter to hobboing cutter 31
Tooth carries out numerical control grinding as stated above, and complete hobboing cutter 31 ensures blade bandwidth concordance and the hobboing cutter side of side relief angle
Rear corner surface numerical control grinding is processed.
Using nc machining simulation software to be processed emulation according to preceding method numerical programming processor, result such as Fig. 4 shows,
Ensure that blade bandwidth concordance and side relief angle.
Claims (1)
1. the numerical control grinding and machining method of planar secondary enveloping ring surface worm gear hob side relief, planar secondary enveloping ring surface worm gear hob
Each cutter tooth by 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) are constituted, rake face (3) and right side helicoid (5)
It is respectively right side cutting edge (9) and left side cutting edge (10) with the intersection of left side helicoid (6)；According to given blade bandwidth
Degree, after obtaining right side rear corner surface start line (11) and left side respectively on right side helicoid (5) and left side helicoid (6)
Edged surface start line (12), right side helicoid (5) is between right side cutting edge (9) and right side rear corner surface start line (11)
Part is right side blade zone face (13), and left side helicoid (6) is in left side cutting edge (10) and left side rear corner surface start line (12)
Between part be left side blade zone face (14)；It is characterized in that, including: P point is right side rear corner surface start line (11)
Upper any point, nP1For right side blade zone face (13) at the unit normal vector of P point, Q point is left side rear corner surface start line
(12) upper any point, nQ1For left side blade zone face (14) at the unit normal vector of Q point, tPRise for right side rear corner surface
Initial line (11) is at the tangent vector of P point, tQFor left side rear corner surface start line (12) in the tangent vector of Q point, per unit system is vowed
Amount nP1Around tangent vector tPRear corner surface angle λ is rotated forward, by unit normal vector n by the right-hand ruleQ1Around tangent vector tQBy the right side
Hand rule negative sense rotates rear corner surface angle λ, respectively obtains right side rear corner surface (7) the unit normal vector n at P pointP2And a left side
Side relief (8) is at the unit normal vector n of Q pointQ2；O1For the center of hobboing cutter (31), OdFor in turntable (32)
The heart, the center O of turntable (32)dCenter O relative to hobboing cutter (31)1It is x along hobboing cutter radial distance, turntable (32)
Center OdCenter O relative to hobboing cutter (31)1It is z along hobboing cutter axial distance；It is connected in the left sand on turntable (32)
On the right side of left generating surface (17) the grinding hobboing cutter of wheel (15) during the upper P point of rear corner surface (7), by controlling and hobboing cutter (31)
The lathe C axle that is connected of axis coaxle and the B axle being connected with the axis coaxle of turntable (32) change hobboing cutter cornerWith
Turntable cornerMake law vector and the unit normal vector n of left generating surface (17)P2Unanimously；By controlling turntable (32) institute
Lathe X-axis and Z axis change radial distance x and axial distance z, make left generating surface (17) and P point cantact, and make
The cylindrical of left emery wheel (15) is tangent with the tooth root anchor ring of hobboing cutter (31)；The right emery wheel (16) being connected on turntable (32)
Right generating surface (18) grinding hobboing cutter on the left of rear corner surface (8) upper Q point time, by control axis with hobboing cutter (31) with
Lathe C axle and the B axle connected with the axis coaxle of turntable (32) that axle is connected change hobboing cutter cornerWith turntable cornerMake law vector and the unit normal vector n of right generating surface (18)Q2Unanimously；By controlling the lathe at turntable (32) place
X-axis and Z axis change radial distance x and axial distance z, make right generating surface (18) and Q point cantact, and make right emery wheel (16)
Cylindrical is tangent with the tooth root anchor ring of hobboing cutter (31)；Each point upper to right side rear corner surface start line (11) and left side rear corner surface respectively
The upper each point of start line (12), uses said method to obtainThe a series of respective value of x, z, establishment C, B, X and
The four-axle linked numerical control program of Z axis, grinding goes out right side rear corner surface (7) and left side rear corner surface (8) respectively；To hobboing cutter (31)
Each cutter tooth carry out numerical control grinding as stated above, complete guarantee blade bandwidth concordance and the rear corner surface of hobboing cutter (31)
The hobboing cutter side relief numerical control grinding processing of angle.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410613061.5A CN104440419B (en) | 2014-11-04 | 2014-11-04 | The numerical control grinding and machining method of planar secondary enveloping ring surface worm gear hob side relief |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410613061.5A CN104440419B (en) | 2014-11-04 | 2014-11-04 | The numerical control grinding and machining method of planar secondary enveloping ring surface worm gear hob side relief |
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| Publication Number | Publication Date |
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| CN104440419A CN104440419A (en) | 2015-03-25 |
| CN104440419B true CN104440419B (en) | 2016-09-21 |
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Families Citing this family (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106312699B (en) * | 2016-08-25 | 2018-04-17 | 西安交通大学 | A kind of grinding processing method of the thick segment cutting tooth of spiral ring gear broaching tool |
| CN106956171B (en) * | 2017-04-05 | 2019-01-08 | 中国农业大学 | The numerical control grinding method of Double-conical-surface twice-enveloping enveloping worm hob side relief |
| 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 |
Family Cites Families (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN86107189A (en) * | 1986-10-13 | 1987-05-20 | 冶金部西安冶金机械厂 | The processing method of ring surface-worm with envelop curved face |
| CN1042007C (en) * | 1993-12-17 | 1999-02-10 | 天津华盛昌齿轮有限公司 | Method for grinding tooth back of worm hob with secondary enveloping ring surface |
| CN2414866Y (en) * | 2000-04-11 | 2001-01-17 | 刘晓荣 | Rotating and swinging spectial double grinding head for grinding plane second enveloping ring surface worm tooth face |
| CN101791772B (en) * | 2010-01-29 | 2011-09-21 | 浙江大学 | Numerical control relief grinding method for enveloping worm hob and machine tool for realizing same |
| CN102275016B (en) * | 2011-07-22 | 2013-03-06 | 重庆大学 | Double-side accurate grinding method and equipment for toothed surface of toroid enveloping worm |
| CN103223533B (en) * | 2013-05-10 | 2015-04-15 | 中国农业大学 | Method for designing side rear angle surfaces of double-enveloping ring surface worm gear hob |
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