CN86103890B - Linear dressing for concave curved surface diamond wheel - Google Patents
Linear dressing for concave curved surface diamond wheel Download PDFInfo
- Publication number
- CN86103890B CN86103890B CN86103890A CN86103890A CN86103890B CN 86103890 B CN86103890 B CN 86103890B CN 86103890 A CN86103890 A CN 86103890A CN 86103890 A CN86103890 A CN 86103890A CN 86103890 B CN86103890 B CN 86103890B
- Authority
- CN
- China
- Prior art keywords
- grinding wheel
- equation
- parameter
- dressing
- wheel
- 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.)
- Expired
Links
Images
Abstract
The present invention relates to a new trimming method for a concave curved surface diamond grinding wheel, which is characterized in that the diamond grinding wheel which only makes a feeding motion can trim a required concave curved surface accurately on the trimmed diamond grinding wheel, and the mutual space cross installation position of an axial line of the grinding wheel which is trimmed is determined and guaranteed by optimization calculation. The linear trimming method is used for trimming the diamond grinding wheel (the required and obtained concave curved surface)when a negative rake angle hard alloy gear hobbing cutter is grounded. The new trimming method can be applied to a common tool grinding machine. The present invention has three work modes, simple operation and high trimming efficiency, and grinding is carried out by accurately adjusting the grinding wheel trimmed by a machine tool according to a calculation result to obtain the hobbing cutter with AA grade tooth shape profile accuracy.
Description
The invention belongs to the correction method that skive adopts.
During the negative rake carbide hob relief grinding of different modulus specifications, the grinding wheel profile of its requirement is analyzed with computer, found all to have the feature of concave curvatures condition.Correction of the flank shape is the outstanding difficult point that runs in the negative rake carbide hob relief grinding technology to this concave curvatures skive, and the correction of the flank shape quality has critical impact to the accuracy of manufacture of hobboing cutter, and is therefore all very secret to this correction of the flank shape technology both at home and abroad.When prior art is repaiied plain wheel, diamond pen by radial plane shifting one distance, is moved along a straight line, emery wheel is accomplished recessed hyperbola.But the difficulty for the skive correction of the flank shape is: motionless with general diamond nib finishing, can only use boart boart crop rotation dressing tool, but all press the shaping principle usually, repair the feed motion of crop rotation curve by diamond, the diamond relief grinding wheel that to be repaiied is trimmed to the theoretical concave curvatures that requires, this very difficult realization particularly often needs examination repeatedly to gather more difficult in the correction of the flank shape process.
The present both at home and abroad technology of this respect all is limited to by the shaping principle and considers a problem, and three kinds of processing schemes are arranged: (1) abandons correction of the flank shape, directly uses standard tapered wheel relief grinding hobboing cutter, and the hob profile curve is divided into several sections relief grindings, is similar to and finishes requirement; (2) adopt special-purpose correction of the flank shape device, the diamond on the correction of the flank shape device is repaiied wheel can do the straight-line feed motion simultaneously in conjunction with small sway, so that accomplish required curve shape by rule of thumb; (3) with profile grinder or copying apparatus, by the curve form correction of the flank shape of theoretical requirement.Therefore, generally speaking, this curvilinear motion correction of the flank shape with the shaping principle needs special lathe or device, and operating technology requires high, and production efficiency is low, and the correction of the flank shape precision is not really reliable.The utmost point need propose the easy new method of carrying out accurate correction of the flank shape of a kind of energy for this reason.
For overcoming the above-mentioned shortcoming of prior art, the present invention proposes a kind of easy, accurate linear dressing method, its characteristics are: (1) diamond is repaiied the motion of crop rotation straight-line feed or is not done feed motion, just can be repaiied at quilt to repair concave curvatures on the skive, but both axis is space crossed; (2) with optimizing result calculated, the mutual installation site of adjusting two emery wheels just can obtain satisfied correction of the flank shape precision.Purpose of the present invention that Here it is.
Basic principle of the present invention is: the curved surface of being repaiied skive is the envelope surface of finishing with the skive working face, under the space crossed condition of axis, take turns the working face that forms with the normal sand of simple shape and (form cylinder or oval cylinder as sheet emery wheel moving linearly, tapered wheel formation cone), can grind the revolving body curved surface of spill.Therefore, select different emery wheel dimensional parameters and motion schemes, change the mutual alignment parameter of space crossed axis, just can grind all different concave curvatures.Utilize optimization method to choose the relative installation parameter, the curved surface that grinds is had approach most the effect of the theoretical concave curvatures that requires of relief grinding wheel, adjust lathe, can reach the requirement of correction of the flank shape precision easily with this.
The present invention can realize that on general purpose tool grinding machine or special fixture following three kinds of working methods are arranged:
(1) recessed ellipsoid correction of the flank shape (accompanying drawing 1,2) is repaiied wheel 1 center and is respectively B, A to the distance of X, Y-axis, repaiies and takes turns self axis ox and OX axle clamp angle α, repair simultaneously wheel around self axis ox inclination γ angle to form ellipse.Repair wheel 1 when the lamellar gold hard rock and move as straight-line feed along 3 direction, direction of feed motion with repaiied the square crossing of grinding wheel spindle space of lines, being repaiied a part 2 that grinds recessed ellipsoid on the workpiece, make Z=0, on the XOY face, its equation is:
R in the formula
0For repairing the wheel radius, do not make parameter and consider.The installation parameter of this mode is A, B, alpha, gamma.
(2) single leaf hyperbolic equidistant surface correction of the flank shape (accompanying drawing 3,4), diaxon angle of the crossing α, distance between axles A, t
0Reflected the axial installation site of being repaiied the big end of emery wheel, the lamellar gold hard rock is repaiied wheel 1 and is moved as straight-line feed along the direction of self axis 3, being repaiied the part 2 that emery wheel is worn into single leaf hyperbolic equidistant surface.Among Fig. 3, t is axial coordinate, R
SBe coordinate radially, its equation is:
（t
0-t）sinαsinθ
1-Acos
2αcosθ
1-R
0sin
2αsinθ
1cosθ
1＝0 （2）
tgθ
2=tgθ
1/cosα(3）
R
s=A-R
0Sinθ
2/Sinθ
2（4）
θ in the formula
1, θ
2Be intermediate parameters, the cancellation intermediate parameters just obtains the functional equation of single leaf hyperbolic equidistant surface, and this mode installation parameter has three A, α, t
0
(3) sex change hyperboloid of one sheet correction of the flank shape (accompanying drawing 5,6), two grinding wheel spindle space of lines angle of the crossing α, distance between axles A, two emery wheel mutual alignment parametric t
0, taper this moment is repaiied wheel 1 and is not done feed motion, can grind the sex change hyperboloid of one sheet 2, t, R with the surface of repairing wheel
SThe axial coordinate of emery wheel and coordinate are radially repaiied in representative, and its equation is:
R in the formula
0For repairing the big end of wheel radius, β and X
uBe intermediate parameters, the cancellation intermediate parameters can obtain the functional equation of the sex change hyperboloid of one sheet, and this mode installation parameter has three A, α, t
0More than three kinds of working methods all be applicable to the relief grinding wheel correction of the flank shape, higher with first and third kind of mode theoretical fitting precision.
The correct relative position of adjusting emery wheel and workpiece on the lathe of installing when actual correction of the flank shape precision of the present invention depends on theoretical fitting precision and correction of the flank shape.Can be by desired theory contour, accurately adjust correction of the flank shape behind the installation parameter according to optimizing result of calculation.
The step that the present invention optimizes calculating is: write out the equation of trimming wheel and the workpiece equation that is ground with method of movement principle, the latter is compared with the theoretical relief grinding wheel spill profile that requires, obtain the radially maximum formula that replaces error, the minimum that replaces error with maximum is an object function, use the general program of optimization method, calculate optimum installation parameter on computers.With this result of calculation, carefully accurately adjust lathe, can once obtain the effect of accurate correction of the flank shape.
Adopting single leaf hyperbolic equidistant surface correction of the flank shape working method provided by the invention, is example with the skive correction of the flank shape of relief grinding M12 negative rake carbide hob.The theoretical spill grinding wheel profile that requires is one group of set point (t
i, R
Ti) (annotate: set point asks method to see " the parsing new method of relief grinding wheel profile ", two nd Annual Meeting collection of Jin Qie research association of Chinese colleges and universities, publishing house of Shanghai Communications University), according to formula (2), (3), (4) are with each t
iSubstitution respectively can solve R correspondingly
Si, then the radially replacement error of each set point is:
△
i=R
ti-R
si（8）
In actual production, the criterion of error judgment is a worst error, consider that theoretical the replacement do not have accidental error, it is object function that the present invention adopts the maximum minimum that replaces error, promptly select the forward maximum radial in the four corner to replace the maximum absolute value sum minimum that replaces error of sum of errors negative sense as object function, formula is
minf（A，α，t
0）＝min｛（+△
max）+｜（-△
max）｜｝ （9）
Establishing set point in accompanying drawing 7 is 11, i.e. (t
i, R
Ti) i=1,2 ... 11, at given one group of A, α, t
0Situation under, replacing curve has error with theoretical curve, this moment as forward maximum replacement error are at the 3rd point, negative sense is at the 8th point, then worst error △
Max=△
3+ | △
8|.Change installation parameter A, α, t
0, use then that can to find out its worst error with quadrat method corresponding with every group of installation parameter, utilize optimizer, according to certain rules on computers, finding out one group at last, to make worst error be minimum optimum installation parameter.With the example of emery wheel, optimizing result calculated is A=32.166mm to M12 relief grinding right side, α=71.538 °, t
0=89.019mm repaiies the wheel radius R this moment
0=62.5mm, by the correction of the flank shape on cutter and tool grinding machine of this parameter, its correction of the flank shape is theoretical replace error AA level hob profile franchise 1/3rd in, remove the relief grinding hobboing cutter through a correction of the flank shape of practical operation, hobboing cutter meets required precision.
Claims (8)
1, during grinding wheel dressing, the axis of dressing tool is done feed motion by radial plane shifting one distance along straight line, and direction of feed motion intersects with the grinding wheel spindle space of lines, chooses installation parameter with optimization method, and emery wheel is accomplished concave curvatures.It is characterized in that: the standard gold diamond grinding wheel with simple shape is made dressing tool, repairs skive.On relevant grinding machine, adjust with corresponding installation parameter according to the mutual axial location parameter of two emery wheels,, can repair out the concave curvatures of three kinds of different conditions owing to the variation of profiling mode or parameter.
2, the step of correction method is according to claim 1: write out the equation of repairing the skive equation and being repaiied skive with method of movement principle, the latter is made comparisons with the theoretical concave curvatures that requires, write out the maximum formula that replaces error, maximum is replaced the minimum of error as object function, use the general program of optimization method, try to achieve one group on computers the parameter of adjusting lathe is installed.
3, correction method as claimed in claim 1 or 2 is implemented on general purpose tool grinding machine or special fixture, and by recessed ellipsoid profiling mode work, its equation is:
Optimization parameter in the equation is A, B, α, γ, adjusts in view of the above relevant mutual alignment on the lathe is installed, and carries out grinding wheel dressing.
4, correction method as claimed in claim 1 or 2 is implemented on general purpose tool grinding machine or special fixture, and by single leaf hyperbolic equidistant surface profiling mode work, its equation is:
Optimization parameter in the equation is A, α, t
0, adjust in view of the above relevant mutual alignment on the lathe is installed, carry out grinding wheel dressing.
5, correction method as claimed in claim 1 or 2 is implemented on general purpose tool grinding machine or special fixture, and tapered wheel is made dressing tool, does not do feed motion, and by the work of sex change hyperboloid of one sheet profiling mode, its equation is:
Optimization parameter in the equation is A, α, t
0, adjust the relevant mutual alignment of installing on the lathe in view of the above, carry out grinding wheel dressing.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN86103890A CN86103890B (en) | 1986-06-10 | 1986-06-10 | Linear dressing for concave curved surface diamond wheel |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN86103890A CN86103890B (en) | 1986-06-10 | 1986-06-10 | Linear dressing for concave curved surface diamond wheel |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN86103890A CN86103890A (en) | 1987-04-08 |
| CN86103890B true CN86103890B (en) | 1987-04-08 |
Family
ID=4802229
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN86103890A Expired CN86103890B (en) | 1986-06-10 | 1986-06-10 | Linear dressing for concave curved surface diamond wheel |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN86103890B (en) |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1055885C (en) * | 1994-09-16 | 2000-08-30 | 清华大学 | Dressing method of super-hard abrasive partical grinding wheel |
| CN103862377B (en) * | 2014-02-27 | 2016-03-02 | 大连国威轴承股份有限公司 | The method of straight line trimmer finishing spill emery wheel |
-
1986
- 1986-06-10 CN CN86103890A patent/CN86103890B/en not_active Expired
Also Published As
| Publication number | Publication date |
|---|---|
| CN86103890A (en) | 1987-04-08 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN112222959B (en) | Grinding wheel wear parameter-based grinding track compensation method for rear cutter face of end mill | |
| CN110426992A (en) | A kind of curved surface subregion contour parallel milling cutter path planing method | |
| CN104959667B (en) | Knife face band Unequal distance arc head milling cutter and method for grinding after a kind of eccentric shape | |
| CN106881634A (en) | A kind of processing method of steel part bushing stepped hole axiality | |
| CN104493305B (en) | A kind of skiving processing method adjusted based on gear cutting machine | |
| CN107552852A (en) | A kind of new fine rose cutter and sharpening preparation technology | |
| CN107414860A (en) | A kind of motion path collision prevention method of adjustment for robot belt sanding | |
| CN106514494A (en) | Ball end grinding wheel precision dressing method based on bi-arc fitting error compensation | |
| CN105436623B (en) | Medium accuracy large modulus roller gear Hardened gear face processing method | |
| CN102091980B (en) | Method for processing rotating member with convex function-shaped profile outline through creep feed end face grinding | |
| CN86103890B (en) | Linear dressing for concave curved surface diamond wheel | |
| CN104001979A (en) | Equivalent-arc vertical groove annular milling cutter with taper angle structure, and grinding method | |
| EP1322448B1 (en) | Method and apparatus for making a cutting tool having a flute | |
| CN209021368U (en) | A kind of high-precision external gear broaching tool | |
| US6687566B2 (en) | Method of machining a female screw and dressing a grinding wheel for female screw machining | |
| CN205271625U (en) | High accuracy chamfer grinding machine | |
| CN110471365B (en) | Method for machining drum-shaped spline | |
| CN107097106B (en) | A kind of ball end mill rake face processing algorithm | |
| JP3848779B2 (en) | Internal grinding machine | |
| CN104308484A (en) | Precise tangential feeding prism body forming turning tool manufacturing method and turning tool | |
| CN106256489B (en) | Inside and outside spherical surface method for grinding | |
| CN108415370B (en) | The relative position acquisition methods of arc section class workpiece on rotary table | |
| CN106238831B (en) | Contrate gear becomes the grinding processing method of modulus | |
| CN112775723B (en) | Method for obtaining processing parameters of superhard functional ceramic, processing method and application | |
| CN115592478A (en) | Spiral groove grinding method of complex curved edge based on movable frame |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| C06 | Publication | ||
| C13 | Decision | ||
| GR02 | Examined patent application | ||
| PB01 | Publication | ||
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| C19 | Lapse of patent right due to non-payment of the annual fee | ||
| CF01 | Termination of patent right due to non-payment of annual fee |