CN117226186B - Continuous shift calculation method for worm grinding wheel - Google Patents
Continuous shift calculation method for worm grinding wheel Download PDFInfo
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- CN117226186B CN117226186B CN202311518132.9A CN202311518132A CN117226186B CN 117226186 B CN117226186 B CN 117226186B CN 202311518132 A CN202311518132 A CN 202311518132A CN 117226186 B CN117226186 B CN 117226186B
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- 238000004364 calculation method Methods 0.000 title claims abstract description 40
- 238000006073 displacement reaction Methods 0.000 claims abstract description 107
- 238000000034 method Methods 0.000 claims abstract description 49
- 230000008569 process Effects 0.000 claims abstract description 13
- 238000013507 mapping Methods 0.000 claims description 18
- 206010006514 bruxism Diseases 0.000 claims description 13
- 230000004323 axial length Effects 0.000 claims description 4
- 238000007493 shaping process Methods 0.000 claims description 4
- 230000008878 coupling Effects 0.000 claims 1
- 238000010168 coupling process Methods 0.000 claims 1
- 238000005859 coupling reaction Methods 0.000 claims 1
- 230000000875 corresponding effect Effects 0.000 description 25
- 238000005299 abrasion Methods 0.000 description 15
- 230000007423 decrease Effects 0.000 description 6
- 230000009467 reduction Effects 0.000 description 6
- 230000009286 beneficial effect Effects 0.000 description 4
- 230000008859 change Effects 0.000 description 4
- 238000004519 manufacturing process Methods 0.000 description 3
- 230000002596 correlated effect Effects 0.000 description 2
- 230000003247 decreasing effect Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 230000005465 channeling Effects 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
- 238000012937 correction Methods 0.000 description 1
- 238000001514 detection method Methods 0.000 description 1
- 238000009434 installation Methods 0.000 description 1
- 238000011835 investigation Methods 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 230000002093 peripheral effect Effects 0.000 description 1
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P90/00—Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
- Y02P90/30—Computing systems specially adapted for manufacturing
Abstract
The invention discloses a method for calculating continuous displacement of a worm grinding wheel, which comprises the following steps of: the method comprises the following steps: s1: obtaining the actual diameter d of the grinding wheel x The method comprises the steps of carrying out a first treatment on the surface of the S2: according to the actual diameter d of the grinding wheel x And helix datum line length L of grinding wheel β Determining the actual displacement L of the gear along the axial movement of the grinding wheel, wherein the length L of a spiral datum line of the grinding wheel β The spiral length of the grinding wheel passing through in the process of finishing grinding for the single gear. The worm grinding wheel continuous displacement calculation method can improve the accuracy of the gears ground when the diameters of the grinding wheels are smaller, and improve the consistency of the overall grinding accuracy of the gears and the grinding stability of the grinding wheels. The invention is applied to the field of gear grinding machine tools.
Description
Technical Field
The invention relates to the field of gear grinding machine tools, in particular to a continuous shift calculation method for a worm grinding wheel.
Background
In the related art, the worm grinding wheel of the gear grinding machine tool is used for grinding teeth, and the cutter channeling is continuously shifted in the axial direction of the grinding wheel, so that a new unused grinding wheel is always kept to participate in the grinding process when a workpiece is ground, and the problems of too high grinding wheel abrasion and low grinding precision caused by continuously using a grinding wheel of a certain grinding section are avoided. The method is realized by setting a fixed continuous tool shifting amount, for example, on a numerical control worm grinding wheel gear grinding machine tool, the grinding wheel axially continuously moves by a fixed amount delta mm every time a grinding stroke is completed in the radial direction of the grinding wheel, and the method can effectively solve the abrasion problem of the grinding wheel on the current width and achieve the consistency of the grinding precision of workpieces.
However, according to actual application conditions of the interview investigation, the grinding precision of the gear changes along with the change of the diameter of the grinding wheel, so that the grinding precision of the gear is lower when the diameter of the grinding wheel is smaller, and the precision consistency of the whole gear is poor.
Disclosure of Invention
The present invention aims to solve at least one of the technical problems existing in the prior art. Therefore, the invention provides a worm grinding wheel continuous shift calculation method, which can improve the accuracy of the grinding wheel after the diameter of the grinding wheel is reduced, and further improve the consistency of the overall accuracy of the gear and the grinding stability of the grinding wheel.
A gear grinding method is also provided.
According to an embodiment of the first aspect of the invention, the method for calculating the continuous displacement of the worm grinding wheel comprises the following steps:
s1: obtaining the actual diameter d of the grinding wheel x ；
S2: according to the actual diameter d of the grinding wheel x And helix datum line length L of grinding wheel β Determining the actual displacement L of the gear along the axial movement of the grinding wheel, wherein the length L of a spiral datum line of the grinding wheel β The spiral length of the grinding wheel passing through in the process of finishing grinding for the single gear.
The method for calculating the continuous displacement of the worm grinding wheel according to the embodiment of the first aspect of the invention has at least the following beneficial effects: at the actual diameter d of the grinding wheel x Reducing the spiral datum line length L for the gear grinding to pass β For a fixed value, it is necessary to increase the actual displacement L of the gear in the axial direction of the grinding wheel, i.e. the actual diameter d of the grinding wheel x Is inversely related to the actual displacement L of the gear along the axial direction of the grinding wheel, so that the actual diameter d of the grinding wheel is as follows x After the spiral line length of the grinding wheel passing through the grinding wheel by each gear is reduced, the spiral line length is the spiral line reference line length L β Each gear is subjected to the same grinding amount of the grinding wheel, the accuracy of the gears after grinding is higher, the consistency of the overall accuracy of the gears is also higher, the consistency of the spiral line length of the grinding wheel during grinding is ensured, the consistency of the relative movement amount on the grinding meshing line is also ensured, the consistency of the abrasion of the grinding wheel is ensured, and the grinding stability can be effectively improved.
According to some embodiments of the invention, in S2, the spiral datum line length L β The acquisition method of (1) comprises the following steps:
s21: obtaining the reference diameter d of the grinding wheel j ；
S22: at the reference diameter of the grinding wheeld j Obtaining the passing axial reference length L in the grinding process of the gear j ；
S23: according to the reference diameter d j With the axial reference length L j Determining the reference line length L of the spiral line β 。
According to some embodiments of the invention, in S23, the spiral datum line length L β The acquisition method of (a) further comprises the following steps:
s231: according to the reference diameter d of the grinding wheel j Obtaining the reference line length L of the spiral line β Diameter d of cylinder corresponding to spiral line in y ；
S232: according to the diameter d of the cylinder y And the axial reference length L j Determining the reference line length L of the spiral line β 。
According to some embodiments of the invention, the reference diameter d j For the initial diameter of the grinding wheel, the cylinder diameter d y The pitch circle diameter, the base circle diameter, the root circle diameter or the tip circle diameter of the grinding teeth of the grinding wheel.
According to some embodiments of the invention, in S22, the axial reference length L j The preset value is set as follows: at the reference diameter d of the grinding wheel j When the grinding wheel is axially divided into a plurality of grinding sections, the axial length corresponding to one grinding section is the axial reference length L j 。
According to some embodiments of the invention, the worm grinding wheel continuous shift calculation method further comprises the steps of:
s3: and redistributing the length of each grinding section according to the actual displacement L of the axial movement of the grinding wheel.
According to some embodiments of the invention, in S1, the actual diameter d of the grinding wheel is obtained x The method of (1) is as follows: the actual diameter d is obtained when the grinding wheel finishes shaping each time x 。
According to the embodiment of the second aspect of the invention, the continuous displacement calculation method of the worm grinding wheel comprises the following steps:
s1: according to the maximum diameter d of the grinding wheel max Diameter d of minimum use min And helix datum line length L of grinding wheel β With the length L of the spiral line passing by each gear β The same is used as a benchmark to obtain the actual diameter d of the grinding wheel x And the actual displacement L of the gear along the axial movement of the grinding wheel, wherein the spiral datum line length L of the grinding wheel β The acquisition method of the reference line length L is the spiral line reference line length L in the continuous shift calculation method of the worm grinding wheel according to the embodiment of the first aspect of the invention β Is obtained by the method;
s2: obtaining the actual diameter d of the grinding wheel x Substituting the mapping relation to obtain the actual displacement L of the gear along the axial movement of the grinding wheel.
The method for calculating the continuous displacement of the worm grinding wheel according to the embodiment of the second aspect of the invention has at least the following beneficial effects: by obtaining the mapping relation, the actual diameter d of the grinding wheel is calculated x The actual displacement L of the axial movement of the grinding wheel to be distributed is simplified, the calculation mode is simplified, the calculation is simpler, and the parameter use is more convenient; at the actual diameter d of the grinding wheel x When the gear is reduced, the actual displacement L of the gears along the axial movement of the grinding wheel is increased, so that the spiral line length of the grinding wheel passing through the grinding wheel of each gear is still the same, each gear is subjected to the same grinding amount of the grinding wheel, the accuracy of the gears after grinding is higher, the consistency of the whole accuracy of the gears is higher, the consistency of the spiral line length of the grinding wheel during grinding is ensured, the consistency of the relative movement amount on the grinding meshing line is ensured, the consistency of the abrasion of the grinding wheels is ensured, and the grinding stability can be effectively improved.
According to some embodiments of the invention, in S1, the actual diameter d of the grinding wheel x The method for acquiring the mapping relation of the actual displacement L of the gear along the axial movement of the grinding wheel comprises the following steps:
s11: according to the maximum diameter d max And the minimum diameter d min Calculating to obtain the maximum actual displacement L of the axial movement of the grinding wheel max ；
S12: obtaining the actual diameter d of the grinding wheel x According to the maximum diameter d of the grinding wheel max And a minimum diameter d min Calculating to obtain the ratio of the actual diameter of the grinding wheel to the total used diameter of the grinding wheel;
s13: according to the maximum actual displacement L of the grinding wheel max And the actual diameter d x The occupied ratio is used for distributing the actual displacement L of the axial movement of the grinding wheel;
or:
s11: according to the maximum diameter d max And the minimum diameter d min Calculating to obtain a compensation coefficient k of the axial movement of the grinding wheel;
s12: obtaining the actual diameter d of the grinding wheel x According to the maximum diameter d of the grinding wheel max And a minimum diameter d min Calculating to obtain the ratio of the actual diameter of the grinding wheel to the total used diameter of the grinding wheel;
s13: based on the compensation coefficient k of the grinding wheel and the actual diameter d x And the actual displacement L of the axial movement of the grinding wheel is distributed according to the occupied ratio.
According to the embodiment of the third aspect of the invention, the continuous displacement calculation method of the worm grinding wheel comprises the following steps:
s1: according to the maximum diameter d of the grinding wheel max And the actual diameter d of the grinding wheel x Obtaining the actual diameter d of the grinding wheel x The mapping relation with the actual displacement L of the gear along the axial movement of the grinding wheel;
s2: obtaining the actual diameter d of the grinding wheel x Substituting the mapping relation to obtain the actual displacement L of the gear along the axial movement of the grinding wheel.
According to the embodiment of the third aspect of the invention, the continuous displacement calculation method of the worm grinding wheel has at least the following beneficial effects: by maximum diameter d of grinding wheel max And the actual diameter d of the grinding wheel x Obtaining the mapping relation and then calculating the actual diameter d of the grinding wheel x The actual displacement L of the axial movement of the grinding wheel required to be distributed is simplified in calculationThe mode is simpler to calculate, and the parameters are more convenient to use; at the actual diameter d of the grinding wheel x When the gear is reduced, the actual displacement L of the gears along the axial movement of the grinding wheel is increased, so that the spiral line length of the grinding wheel passing through the grinding wheel of each gear is still the same, each gear is subjected to the same grinding amount of the grinding wheel, the accuracy of the gears after grinding is higher, the consistency of the whole accuracy of the gears is higher, the consistency of the spiral line length of the grinding wheel during grinding is ensured, the consistency of the relative movement amount on the grinding meshing line is ensured, the consistency of the abrasion of the grinding wheels is ensured, and the grinding stability can be effectively improved.
According to the embodiment of the fourth aspect of the invention, the continuous displacement calculation method of the worm grinding wheel comprises the following steps:
s1: according to the different actual diameters d of the grinding wheels x The gear completely grinds the actual displacement L moving along the axial direction of the grinding wheel, and the actual diameter d of the grinding wheel is established x And the data base of the mapping relation of the actual displacement L of the gear along the axial movement of the grinding wheel;
s2: obtaining the actual diameter d of the grinding wheel x Substituting the mapping relation to obtain the actual displacement L of the gear along the axial movement of the grinding wheel.
The method for calculating the continuous displacement of the worm grinding wheel according to the fourth aspect of the invention has at least the following beneficial effects: the actual diameter d of the grinding wheel is calculated again by obtaining a database of the mapping relation x The actual displacement L of the axial movement of the grinding wheel to be distributed is simplified, the calculation mode is simplified, the calculation is simpler, and the parameter use is more convenient; at the actual diameter d of the grinding wheel x When the gear is reduced, the actual displacement L of the gears along the axial movement of the grinding wheel is increased, so that the spiral line length of the grinding wheel passing through the grinding wheel of each gear is still the same, each gear is subjected to the same grinding amount of the grinding wheel, the accuracy of the gears after grinding is higher, the consistency of the whole accuracy of the gears is higher, the consistency of the spiral line length of the grinding wheel during grinding is ensured, the consistency of the relative movement amount on the grinding meshing line is ensured, the consistency of the abrasion of the grinding wheels is ensured, and the grinding stability can be effectively improved.
An embodiment of the gear grinding method according to the fifth aspect of the present invention includes the steps of:
s1: according to the actual diameter d of the grinding wheel x Determining the actual displacement L of the gear along the axial movement of the grinding wheel;
s2: according to the actual displacement L, the driving gear is ground and passes through the actual displacement L along the axial direction of the grinding wheel.
The gear grinding method according to the fifth aspect of the embodiment of the present invention has at least the following advantageous effects: obtaining the actual diameter d of the grinding wheel x Then, determining the actual displacement L of the gear along the axial direction of the grinding wheel, converting the actual displacement L into the actual axial grinding passing displacement of the gear along the grinding wheel, so that the actual diameter d of the grinding wheel x When the gear is reduced, the actual displacement L of the gears along the axial movement of the grinding wheel is increased, so that the spiral line length of the grinding wheel passing through the grinding wheel of each gear is still the same, each gear is subjected to the same grinding amount of the grinding wheel, the accuracy of the gears after grinding is higher, the consistency of the whole accuracy of the gears is higher, the consistency of the spiral line length of the grinding wheel during grinding is ensured, the consistency of the relative movement amount on the grinding meshing line is ensured, the consistency of the abrasion of the grinding wheels is ensured, and the grinding stability can be effectively improved.
Additional aspects and advantages of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention.
Drawings
The invention is further described with reference to the accompanying drawings and examples, in which:
FIG. 1 is a schematic view of the structure of a worm grinding wheel with maximum diameter in use and gear grinding;
FIG. 2 is a schematic view of the structure of a conventional worm grinding wheel with a minimum diameter for use and for grinding gears;
fig. 3 is a schematic view of the structure of a worm wheel with a minimum diameter and for grinding gears according to an embodiment of the present invention.
Reference numerals:
grinding wheel 100; a gear 200; grinding segment 300.
Detailed Description
Embodiments of the present invention are described in detail below, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to like or similar elements or elements having like or similar functions throughout. The embodiments described below by referring to the drawings are illustrative only and are not to be construed as limiting the invention.
In the description of the present invention, it should be understood that the direction or positional relationship indicated with respect to the description of the orientation, such as up, down, etc., is based on the direction or positional relationship shown in the drawings, is merely for convenience of describing the present invention and simplifying the description, and does not indicate or imply that the apparatus or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus should not be construed as limiting the present invention.
In the description of the present invention, a plurality means one and more, and a plurality means two and more. The description of the first and second is for the purpose of distinguishing between technical features only and should not be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated or implicitly indicating the precedence of the technical features indicated.
In the description of the present invention, unless explicitly defined otherwise, terms such as arrangement, installation, connection, etc. should be construed broadly and the specific meaning of the terms in the present invention can be reasonably determined by a person skilled in the art in combination with the specific contents of the technical scheme.
In the related art, referring to fig. 1 and 2, a grinding wheel 100 is cylindrical, the outer circumferential surface of the grinding wheel 100 has grinding teeth which are distributed in a thread form around the axis of the grinding wheel 100, the gear 200 is ground by the grinding teeth, and when the grinding wheel 100 of the numerical control worm grinding wheel 100 grinding machine is grinding teeth, the grinding wheel 100 moves continuously by a fixed amount Δmm in the axial direction every time the grinding stroke of the grinding wheel 100 is completed in the radial direction. For ease of understanding, the grinding wheel 100 is illustrated herein as being axially divided into a plurality of grinding segments 300 (dashed lines are boundaries between two adjacent grinding segments 300 in the drawing), each grinding segment 300 being used for grinding one gear 200, as illustrated in fig. 1, the grinding of the gear 200 being performed starting from the first grinding segment 300 on the rightmost side, and the grinding of the gear 200 being completed when the gear 200 is moved from right to left to the position of the first dashed line on the right side; then, a new gear 200 is replaced to move leftwards at the position of the first dotted line on the right side to grind through the rightmost second grinding section 300, and so on until after the new gear 200 is ground at the leftmost grinding section 300, different gears 200 respectively pass through all the grinding sections 300 of the grinding wheel 100, and the process is one round of gear grinding. In the gear grinding process of multiple rounds, because the grinding wheel 100 and the gear 200 grind each other, the diameter of the grinding wheel 100 gradually decreases, when the diameter decreases to a preset shape correction value, the grinding wheel 100 is shaped, and the gear 200 is ground again, so that the use precision of the grinding wheel 100 is ensured, until the grinding wheel 100 is used to the minimum use diameter, at the moment, the grinding wheel 100 cannot be used continuously, and the grinding wheel 100 can be replaced.
It should be understood that, referring to fig. 1 and 2, during the grinding process of the grinding wheel 100, the diameter of the grinding wheel 100 is reduced, when the length of the grinding section 300 is fixed, the length of the spiral line of the grinding wheel 100 through which the gear 200 is ground is reduced, so that the grinding amount of the gear 200 is reduced, and the grinding precision of the gear 200 is further reduced, but if the radial grinding stroke of the grinding wheel 100 is deepened, the radial grinding speed of the grinding section 300 of the grinding wheel 100 is too high, and the grinding precision of the grinding wheel 100 is also affected.
In order to solve the foregoing problems, referring to fig. 1 and 3, the present invention proposes a method for calculating continuous displacement of a worm grinding wheel according to a first aspect, including the following steps:
s1: obtaining the actual diameter d of the grinding wheel 100 x 。
S2: according to the actual diameter d of the grinding wheel 100 x And helix datum line length L of grinding wheel 100 β Determining the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100, and determining the helix datum line length L of the grinding wheel 100 β In the process of finishing grinding of the single gear 200, the spiral length of the grinding wheel 100 passes through, and the spiral length of each gear 200 passes through, so that the grinding amount of each gear 200 is the same, and the grinding precision of the gears 200 is improvedAnd the consistency of the precision, the length L of the spiral datum line β Corresponding diameter to the actual diameter d of the grinding wheel 100 x In positive correlation, i.e. at the actual diameter d of the grinding wheel 100 x When decreasing, the reference line length L of the spiral line β The diameter of the corresponding cylinder is correspondingly reduced; actual diameter d of grinding wheel 100 x Is inversely related to the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100, and is the actual diameter d of the grinding wheel 100 x When decreasing, the reference line length L of the spiral line β The corresponding diameter is correspondingly reduced, and the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100 is increased, so that the spiral datum line length L is caused when the diameter of the grinding wheel 100 is reduced β When the diameter of the corresponding cylinder is correspondingly reduced, the displacement of the gear 200 along the axial direction of the grinding wheel 100 is increased so as to ensure that the length of the spiral line through which the gear 200 passes is equal to the length L of the datum line of the spiral line β The method for calculating the continuous displacement of the worm grinding wheel 100 can improve the accuracy of the gear 200 ground when the diameter of the grinding wheel 100 is smaller, and improve the consistency of the overall grinding accuracy of the gear 200 and the grinding stability of the grinding wheel 100.
In this embodiment, the spiral length of the grinding wheel 100 through which the gear 200 is ground is taken as a reference, so that the spiral length of the grinding wheel 100 through which different gears 200 are ground is consistent, the grinding amounts of different gears 200 are consistent, the consistency of the grinding precision of the gears 200 is further improved, and the displacement L of the gears 200 along the axial movement of the grinding wheel 100 is estimated according to the spiral length of the grinding wheel 100 through which the gears 200 are ground S When the diameter of the grinding wheel 100 is smaller, the displacement of the gear 200 along the axial movement of the grinding wheel 100 is prolonged, so that the spiral length of the grinding wheel 100 through which the gear 200 passes can be increased under the condition that the radial grinding depth is not changed by the grinding wheel 100, the spiral length of the grinding wheel 100 through which the gear 200 passes when the diameter of the grinding wheel 100 is smaller is consistent with the spiral length of the grinding wheel 100 through which the gear 200 passes when the diameter of the grinding wheel 100 is larger, the grinding quantity of the gear 200 is consistent, the grinding precision of the gear 200 when the diameter of the grinding wheel 100 is smaller is improved, and the consistency of the integral grinding precision of the gear 200 is improved.
It should be appreciated that at the actual diameter d of the grinding wheel 100 x Reduced time, in order to grind the gear 200Length L of reference line of the passed spiral β For a fixed value, it is necessary to increase the actual displacement L of the gear 200 in the axial direction of the grinding wheel 100, that is, the actual diameter d of the grinding wheel 100 x Is inversely related to the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100, so that the actual diameter d of the grinding wheel 100 is as follows x After the reduction, the spiral line length of the grinding wheel 100 passing through the grinding wheel 100 by each gear 200 is still the same, and is the reference line length L of the spiral line β Each gear 200 is subjected to the same grinding amount of the grinding wheel, the accuracy of the gears 200 after grinding is higher, the consistency of the overall accuracy of the gears 200 is higher, the consistency of the spiral line length of the grinding wheel 100 during grinding is ensured, the consistency of the relative movement amount on the grinding meshing line is ensured, the consistency of the abrasion of the grinding wheel 100 is ensured, and the grinding stability can be effectively improved.
In other embodiments of the present invention, in S2, the helical datum line length L β The acquisition method of (1) comprises the following steps:
s21: obtaining a reference diameter d of the grinding wheel 100 j ；
S22: at a reference diameter d of the grinding wheel 100 j Next, the axial reference length L passed during the grinding of the gear 200 is obtained j ；
S23: according to the reference diameter d j And an axial reference length L j Determining the reference line length L of a spiral line β 。
It should be appreciated that the reference diameter d of the grinding wheel 100 is fixed j And a fixed axial reference length L j Calculate the fixed spiral datum line length L β Then, during the grinding process of the grinding wheel 100, the reference line length L of the spiral line can be used β As a benchmark, each gear 200 is ground to pass through a spiral datum line length L β The grinding amount of each gear 200 is the same, so that the accuracy of the gears 200 after grinding is improved, and the consistency of the overall accuracy of the gears 200 is higher.
In other embodiments of the present invention, in S23, the spiral reference line length L β The acquisition method of (a) further comprises the following steps:
s231: according to the reference diameter of the grinding wheel 100d j Obtaining the reference line length L of the spiral line β Diameter d of cylinder corresponding to spiral line in y ；
S232: according to the diameter d of the cylinder y And an axial reference length L j Determining the reference line length L of the spiral line β 。
It is appreciated that the reference diameter d of the grinding wheel 100 j Can be equal to the diameter d of the cylinder corresponding to the spiral line y The reference diameter d of the grinding wheel 100 may be j And the reference line length L of the spiral line β Diameter d of cylinder corresponding to spiral line in y And the positive correlation proportion relation is presented.
Specifically, cylinder diameter d y The pitch circle diameter, the base circle diameter, the root circle diameter, or the tip circle diameter of the grinding teeth of the grinding wheel 100.
It should be appreciated that during the process of grinding the gear 200, the diameter of the grinding wheel 100 will gradually decrease, but the shape of the spiral grinding teeth on the outer peripheral surface of the grinding wheel 100 remains unchanged, and the pitch circle diameter or the base circle diameter or the root circle diameter or the tip circle diameter corresponding to the grinding teeth will decrease with the decrease of the diameter of the grinding wheel 100, so that the spiral datum line length L β The corresponding diameter can be reduced along with the reduction of the diameter of the grinding wheel 100, and the two diameters are positively correlated, so that the length of the spiral line corresponding to the reference circle diameter, the base circle diameter, the root circle diameter or the top circle diameter is taken as the reference line length L of the spiral line β And (3) using.
As another embodiment, the user may also preset the helix of any diameter formed around the axis of the grinding wheel 100 inside or outside the grinding wheel 100 to be the helix reference line length L β A corresponding spiral line, the diameter of which is linearly and positively correlated with the diameter of the grinding wheel 100, so that the diameter of the spiral line is also reduced along with the reduction of the diameter of the grinding wheel 100, and the corresponding length of the spiral line is taken as the reference line length L of the spiral line β And (3) using.
In other embodiments of the present invention, in S22, the axial reference length L j The preset value is set as follows: at the reference diameter d of the grinding wheel 100 j When the grinding wheel 100 is axially divided into a plurality of grinding segments 300, one for grindingThe axial length corresponding to the segment 300 is the axial reference length L j 。
It is understood that the reference diameter d j The helix length of the grinding wheel 100 corresponding to the grinding section 300 is the helix datum line length L β To determine the reference line length L of the spiral line β So that the reference line length L of the spiral line β Is of a fixed value, is convenient for the reference line length L of the spiral line β As a reference. Specifically, the axial length of the grinding wheel 100 corresponding to the grinding segment 300 is a preset value, and is set by the user.
In the present embodiment, the reference diameter d j The helix reference line length L is the original diameter of the grinding wheel 100 β Diameter d of cylinder corresponding to spiral line in y Which is the pitch circle diameter of the grinding teeth of grinding wheel 100.
It should be understood that, when the grinding wheel 100 leaves the factory, that is, when the diameter of the grinding wheel 100 is the largest, and the diameter of the grinding wheel 100 is a known value, and when the grinding wheel 100 leaves the factory, the displacement L of the gear 200 along the axial direction of the grinding wheel 100 is generally preset S ，L S With a known value, without testing or calculation, subsequent calculations are more convenient.
Of course, the position L of the corresponding gear 200 along the axial direction of the grinding wheel 100 may be determined based on the diameter of the other grinding wheel 100 S Further determining the pitch circle helix length L of the grinding wheel 100 β 。
Specifically, the pitch circle helix length L of the grinding wheel 100 through which the gear 200 is ground β The specific calculation mode of (2) is as follows:
the meaning of each letter in the formula is as follows:
L S : presetting the displacement of the gear 200 along the axial movement of the grinding wheel 100;
d a0 : the original diameter of the grinding wheel 100 is typically the diameter of the brand new grinding wheel 100;
h a : grinding wheel 100 tooth top;
p 0 : lead at the initial diameter of the grinding wheel 100;
β 0 : the pitch angle of the reference circle of the grinding wheel 100;
z: 100 heads of grinding wheels;
M n : the grinding wheel 100 modulus.
As another embodiment, the spiral datum line length L β Diameter d of cylinder corresponding to spiral line in y The base circle diameter, the root circle diameter, or the tip circle diameter of the grinding teeth of the grinding wheel 100, wherein the base circle of the grinding wheel 100, the root circle of the grinding wheel 100, and the tip circle of the grinding wheel 100 can be converted with the reference circle of the grinding wheel 100 by a formula, and the conversion formula is common knowledge in the art, and will not be described herein.
In other embodiments of the present invention, the method for calculating the continuous shift of the worm grinding wheel further comprises the steps of:
s3: the length of each grinding segment 300 is redistributed according to the actual displacement L of the grinding wheel 100 in the axial direction.
It should be appreciated that by reassigning the length of grinding segment 300 to increase the wire length of the helix traversed by gear 200 to the helix reference wire length L as the actual diameter of grinding wheel 100 decreases β So that the grinding amount of the gear 200 is increased by the reference line length L of the spiral line β The corresponding grinding amount further enables the consistency of the grinding degree of each gear 200 to be higher, and the grinding precision of the gears 200 is improved.
In other embodiments of the present invention, in S1, the actual diameter d of the grinding wheel is obtained x The method of (1) is as follows: the actual diameter d is obtained when the grinding wheel finishes shaping each time x 。
It should be understood that after the grinding wheel 100 is worn to a preset shape-modifying diameter, the grinding wheel 100 needs to be modified, so that the shape of the grinding wheel 100 is kept consistent, the effect of grinding the gear 200 by the grinding wheel 100 is improved, the gear 200 cannot be ground when the grinding wheel 100 is modified, after the grinding wheel 100 is modified, the displacement of the gear 200 along the axial direction of the grinding wheel 100 is adjusted, the phenomenon that the equipment measures the diameter of the grinding wheel 100 for many times, the measuring error is overlarge is avoided, and the adjustment times are more reasonable.
It should be appreciated that after the grinding wheel 100 is shaped, the shape of the grinding teeth on the grinding wheel 100 is closer to the shape of the grinding teeth on the brand new grinding wheel 100, the shape accuracy is higher, and when the diameter of the grinding wheel 100 is measured, the measurement accuracy is higher, and the measured actual diameter d of the grinding wheel 100 is higher x More accurate.
Alternatively, the diameter of the grinding wheel 100 may be reduced to the predetermined value d x After that, the displacement amount L of the gear 200 in the axial direction of the grinding wheel 100 is recalculated to improve the grinding accuracy of the gear 200. Specifically, the preset value d x The gear 200 can be selected according to actual needs, for example, when the diameter of the grinding wheel 100 is reduced by 1mm, the displacement of the gear 200 moving along the axial direction of the grinding wheel 100 is calculated, the precision of the gear 200 can fluctuate within a certain range, and the gear 200 can improve the precision of the gear 200 while meeting the manufacturing efficiency; or, after all the grinding sections 300 of the grinding wheel 100 finish grinding the gear 200, the displacement amount of the gear 200 moving along the axial direction of the grinding wheel 100 is calculated, so that the accuracy range of the gear 200 is smaller, and the accuracy consistency of the whole gear 200 is higher. The diameter of the grinding wheel 100 can be directly measured by a detection device.
Specifically, after each dressing of the grinding wheel 100, the displacement L of the gear 200 along the axial direction of the grinding wheel 100 is calculated as follows:
p 0 the diameter of the grinding wheel 100 is d x Corresponding leads.
In other embodiments of the present invention, in S2, the diameter change of the grinding wheel 100 after each modification is a constant value.
It is understood that the grinding wheel 100 is shaped after being worn by the same diameter, so that the program on the gear grinding machine tool is simpler to set, only one grinding wheel 100 wear diameter is needed, a plurality of grinding wheel 100 wear diameter values are not needed to be set because of different grinding wheel 100 wear diameters, the use is more convenient, the diameters of the grinding wheels 100 wear are consistent, the influence of the grinding wheel 100 wear on the gear 200 is smaller, the precision error of the gear 200 caused by the grinding wheel 100 wear is smaller, and the manufacturing precision of the gear 200 is higher. And when the diameter of abrasion of the grinding wheel 100 is a fixed value, in order to maintain the pitch circle spiral length of the grinding wheel 100 through which the gear 200 is ground to be a fixed value along with the reduction of the diameter of the grinding wheel 100, the axial moving distance of the gear 200 along the grinding wheel 100 is increased, the axial moving distance of the grinding wheel 100 is fixed, and the number of the gears 200 which can be ground by the grinding wheel 100 is reduced, so that after the diameter of the grinding wheel 100 is reduced, the number of the gears 200 which can be ground by the grinding wheel 100 after each shaping is reduced.
Specifically, the diameter change formula after the grinding wheel 100 wears the same diameter is:
d x the actual diameter of the grinding wheel 100 during use;
l, when the grinding wheel 100 is dressed several times, the total amount of each dressing is set by a user;
number of dressing times of the grinding wheel 100.
As another embodiment, the diameter variation of the grinding wheel 100 after at least one modification may be a variable value.
Specifically, the diameter change formula after the abrasion variable diameter of the grinding wheel 100 is:
d x the actual diameter of the grinding wheel 100 during use;
l, when the grinding wheel 100 is dressed several times, the total amount of each dressing is set by a user;
n, number of dressing times of the grinding wheel 100.
Therefore, the total usage amount of each dressing of the grinding wheel 100 may be the same or different, the specific total usage amount of each dressing may be set by the user, the degree of freedom of the user is higher, and the user may manufacture gears 200 with different precision requirements according to the diameter of the grinding wheel 100.
As a second way to solve the foregoing problem, the present invention proposes a worm grinding wheel continuous shift calculation method of the second aspect, including the steps of:
s1: according to the maximum diameter d of the grinding wheel 100 max Diameter d of minimum use min And helix datum line length L of grinding wheel 100 β With the reference line length L of the spiral line through which each gear 200 passes β Taking the same as a reference, obtaining the actual diameter d of the grinding wheel 100 x And the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100, wherein the spiral datum line length L of the grinding wheel 100 β The acquisition method is the spiral line datum length L in the continuous shift calculation method of the worm grinding wheel according to the embodiment of the first aspect of the invention β Is obtained by the method;
s2: obtaining the actual diameter d of the grinding wheel 100 x Substituting the map relation yields the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100.
It should be appreciated that by obtaining the mapping, the actual diameter d of the grinding wheel 100 is recalculated x The actual displacement L of the axial movement of the grinding wheel 100 to be distributed is simplified, the calculation mode is simplified, the calculation is simpler, and the parameter use is more convenient; at the actual diameter d of the grinding wheel 100 x When the gear 200 is reduced, the actual displacement L of the gears 200 along the axial direction of the grinding wheel 100 is increased, so that the spiral length of the grinding wheel 100 passing through the grinding wheel 100 by each gear 200 is still the same, each gear 200 is subjected to the same grinding amount of the grinding wheel 100, the accuracy of the gears 200 after grinding is higher, the consistency of the overall accuracy of the gears 200 is higher, the consistency of the spiral length of the grinding wheel 100 during grinding is ensured, the consistency of the relative movement amount on the grinding meshing line is also ensured, the consistency of the abrasion of the grinding wheel 100 is ensured, and the grinding stability can be effectively improved.
In some embodiments of the present invention, in S1, the actual diameter d of the grinding wheel 100 x The method for acquiring the mapping relation between the gear 200 and the actual displacement L of the gear moving along the axial direction of the grinding wheel 100 comprises the following steps:
s11: according to the maximum diameter d of the grinding wheel 100 max And a minimum diameter d min Calculating to obtain the maximum actual displacement L of the axial movement of the grinding wheel 100 max ；
S12: obtaining the actual diameter d of the grinding wheel 100 x According to the maximum diameter d of the grinding wheel 100 max And a minimum diameter d min Calculating to obtain the ratio of the actual diameter of the grinding wheel 100 to the total used diameter of the grinding wheel 100;
s13: according to the maximum actual displacement L of the grinding wheel 100 max And an actual diameter d x The ratio of the actual displacement L of the axially displaced distributor wheel 100.
It should be appreciated that the maximum actual displacement L of the grinding wheel 100 in the axial direction is calculated max Based on the actual diameter d of the grinding wheel 100 x The ratio of the total diameter of the grinding wheel 100 to the actual diameter d of the grinding wheel 100 is calculated x The actual displacement L of the axially displaced grinding wheel 100 to be dispensed is such that, at the actual diameter d of the grinding wheel 100 x After the reduction, the spiral line length of the grinding wheel 100 passing through the grinding wheel 100 by each gear 200 is still the same, and is the reference line length L of the spiral line β Each gear 200 receives the same amount of grinding by the grinding wheel 100, the accuracy after grinding of the gears 200 is higher, and the consistency of the overall accuracy of the gears 200 is also higher, while the grinding wheel 10 is grindingThe consistency of the length of the 0 spiral line also ensures the consistency of the relative movement amount on the grinding meshing line, ensures the consistency of the abrasion of the grinding wheel 100 and can effectively improve the grinding stability.
As another embodiment, in S1, the actual diameter d of the grinding wheel 100 x The method for acquiring the mapping relation between the gear 200 and the actual displacement L of the gear moving along the axial direction of the grinding wheel 100 comprises the following steps:
s11: according to the maximum diameter d max And a minimum diameter d min Calculating to obtain a compensation coefficient k of the axial movement of the grinding wheel 100;
s12: obtaining the actual diameter d of the grinding wheel 100 x According to the maximum diameter d of the grinding wheel 100 max And a minimum diameter d min Calculating to obtain the ratio of the actual diameter of the grinding wheel 100 to the total used diameter of the grinding wheel 100;
s13: according to the compensation coefficient k and the actual diameter d of the grinding wheel 100 x The ratio of the actual displacement L of the axially displaced distributor wheel 100.
It should be appreciated that the compensation coefficient k of the axial movement of the grinding wheel 100 is calculated and then based on the actual diameter d of the grinding wheel 100 x The ratio of the total diameter of the grinding wheel 100 to the actual diameter d of the grinding wheel 100 is calculated x The actual displacement L of the axially displaced grinding wheel 100 to be dispensed is such that, at the actual diameter d of the grinding wheel 100 x After the reduction, the spiral line length of the grinding wheel 100 passing through the grinding wheel 100 by each gear 200 is still the same, and is the reference line length L of the spiral line β Each gear 200 is subjected to the same grinding amount of the grinding wheel 100, the accuracy of the gears 200 after grinding is higher, the consistency of the overall accuracy of the gears 200 is higher, the consistency of the spiral line length of the grinding wheel 100 during grinding is ensured, the consistency of the relative movement amount on the grinding meshing line is ensured, the consistency of the abrasion of the grinding wheel 100 is ensured, and the grinding stability can be effectively improved.
Specifically, the calculation formula of the actual displacement amount L of the gear 200 in the axial direction of the grinding wheel 100 is as follows:
L S : presetting the displacement of the gear 200 along the axial movement of the grinding wheel 100;
d x the actual diameter of the grinding wheel 100;
p x actual diameter d of grinding wheel 100 x A corresponding lead;
in other embodiments of the present invention, the compensation coefficient k is calculated as follows:
d max the maximum diameter of the grinding wheel 100 is determined by the grinding wheel 100 selected for purchase;
d min the minimum diameter of the grinding wheel 100 is determined by the spindle structure of the machine tool;
p max the lead of the grinding wheel 100 when the diameter is maximum;
p min the lead at which the diameter of the grinding wheel 100 is smallest.
/>
h a Grinding wheel 100 tooth top;
β max the corresponding pitch angle of the reference circle when the diameter of the grinding wheel 100 is maximum;
β min the pitch angle of the reference circle corresponding to the smallest diameter of the grinding wheel 100.
It is appreciated that d when determining the type of grinding wheel 100 and the shape of the gear 200 max 、d min 、p max 、p min 、h a 、β max 、β min Since the compensation coefficient k is also a constant value, the actual displacement L of different magnitudes is distributed according to the calculation formula of the actual displacement L when the diameters of the grinding wheels 100 are different.
According to some embodiments of the invention, the compensation factor k > 1. It is understood that the compensation coefficient can be calculated by the above calculation formula, but may also be selected by the user according to the magnitude of the k value within a certain range, and only the k > 1 is required to be ensured. Wherein, when the k value is larger, the actual displacement L is larger, the accuracy of the gears 200 ground by the single grinding wheel 100 is higher, but the number of the gears 200 ground by the single grinding wheel 100 is smaller; when the k value is smaller, the actual displacement L is smaller, the accuracy of the gears 200 ground by the single grinding wheel 100 is higher, but the number of the gears 200 ground by the single grinding wheel 100 is larger; therefore, the user can balance the accuracy of the gear 200 and the number of the gears 200 by adjusting the k value, thereby improving the quality of the gears 200 and maintaining high efficiency.
As a third way to solve the foregoing problem, the present invention proposes a worm grinding wheel continuous shift calculation method according to an embodiment of the third aspect, including the steps of:
s1: according to the maximum diameter d of the grinding wheel 100 max And the actual diameter d of the grinding wheel 100 x Obtaining the actual diameter d of the grinding wheel 100 x A mapping relation with an actual displacement amount L of the gear 200 along the axial movement of the grinding wheel 100;
s2: obtaining the actual diameter d of the grinding wheel 100 x Substituting the map relation yields the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100.
It should be understood that when the compensation coefficient can be calculated by the above calculation formula, the k value can be substituted into the calculation formula of the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100, so as to obtain a new formula as follows:
therefore, in determining the maximum diameter d of the grinding wheel 100 max And the actual diameter d of the grinding wheel 100 x The actual diameter d of the grinding wheel 100 is then obtained x And the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100, and can be based on the actual diameter d of the grinding wheel 100 x The actual displacement L of the gear 200 along the axial direction of the grinding wheel 100 is calculated, and the calculation is faster and simpler.
As a fourth way to solve the foregoing problems, the present invention proposes a worm wheel 100 continuous shift calculation method of a fourth aspect, including the steps of:
s1: according to the actual diameter d of the grinding wheel 100 x The gear 200 completely grinds the actual displacement L moving along the axial direction of the grinding wheel 100, and establishes the actual diameter d of the grinding wheel 100 x A database of the mapping relation with the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100;
s2: obtaining the actual diameter d of the grinding wheel 100 x Substituting the map relation yields the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100.
It is appreciated that the grinding wheel 100 is at a different actual diameter d x In the following process, when the gear 200 is completely ground by grinding the gear 200 and the grinding wheel 100, the displacement of the gear 200 along the axial direction of the grinding wheel 100 is obtained, and the data is summarized to obtain the actual diameter d of the grinding wheel 100 x The mapping relation between the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100, and only the actual diameter d of the grinding wheel 100 is required to be measured in use x The actual displacement L of the gear 200 along the axial movement of the grinding wheel 100 can be obtained, and the calculation is simpler and more convenient.
By obtaining a database of the mapping relationship, the actual diameter d of the grinding wheel 100 is calculated again x The actual displacement L of the axial movement of the grinding wheel 100 to be distributed is simplified, the calculation mode is simplified, the calculation is simpler, and the parameter use is more convenient; at the actual diameter d of the grinding wheel 100 x When it becomes smaller, by increasing the actual displacement amount L of the gears 200 along the axial direction of the grinding wheel 100, each gear 200 is caused to pass over the grinding wheel 100The spiral length of the grinding wheel 100 is still the same, each gear 200 is subjected to the same grinding amount of the grinding wheel 100, the accuracy of the gears 200 after grinding is higher, the consistency of the overall accuracy of the gears 200 is higher, the consistency of the spiral length of the grinding wheel 100 during grinding is ensured, the consistency of the relative movement amount on the grinding meshing line is also ensured, the consistency of the abrasion of the grinding wheel 100 is ensured, and the grinding stability can be effectively improved.
The invention also provides a gear grinding method of the fourth aspect, which comprises the following steps:
s1: according to the actual diameter d of the grinding wheel 100 x Determining an actual displacement amount L of the gear 200 along the axial movement of the grinding wheel 100;
s2: according to the actual displacement amount L, the drive gear 200 is ground in the axial direction of the grinding wheel 100 by the actual displacement amount L.
It is understood that the actual diameter d of the grinding wheel 100 is obtained x Then, the actual displacement L of the gear 200 along the axial direction of the grinding wheel 100 is determined, and converted into the actual grinding passing displacement of the gear 200 along the axial direction of the grinding wheel 100, so that the actual diameter d of the grinding wheel 100 is obtained x When the gear 200 is reduced, the actual displacement L of the gears 200 along the axial direction of the grinding wheel 100 is increased, so that the spiral length of the grinding wheel 100 passing through the grinding wheel 100 by each gear 200 is still the same, each gear 200 is subjected to the same grinding amount of the grinding wheel 100, the accuracy of the gears 200 after grinding is higher, the consistency of the overall accuracy of the gears 200 is higher, the consistency of the spiral length of the grinding wheel 100 during grinding is ensured, the consistency of the relative movement amount on the grinding meshing line is also ensured, the consistency of the abrasion of the grinding wheel 100 is ensured, and the grinding stability can be effectively improved.
The embodiments of the present invention have been described in detail with reference to the accompanying drawings, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of one of ordinary skill in the art without departing from the spirit of the present invention.
Claims (7)
1. The continuous displacement calculation method for the worm grinding wheel is characterized by comprising the following steps of:
s1: acquisition ofActual diameter d of grinding wheel x ；
S2: according to the actual diameter d of the grinding wheel x And helix datum line length L of grinding wheel β Determining the actual displacement L of the gear along the axial movement of the grinding wheel, wherein the length L of a spiral datum line of the grinding wheel β In the process of finishing grinding for a single gear, the wire length of the spiral wire passing through the grinding wheel;
in S2, the spiral datum line length L β The acquisition method of (1) comprises the following steps:
s21: obtaining the reference diameter d of the grinding wheel j ；
S22: at the reference diameter d of the grinding wheel j Obtaining the passing axial reference length L in the grinding process of the gear j ；
S23: according to the reference diameter d j With the axial reference length L j Determining the reference line length L of the spiral line β 。
2. The worm grinding wheel continuous shift calculation method according to claim 1, characterized in that: in S23, the spiral datum line length L β The acquisition method of (a) further comprises the following steps:
s231: according to the reference diameter d of the grinding wheel j Obtaining the reference line length L of the spiral line β Diameter d of cylinder corresponding to spiral line in y ；
S232: according to the diameter d of the cylinder y And the axial reference length L j Determining the reference line length L of the spiral line β 。
3. The worm grinding wheel continuous shift calculation method according to claim 2, characterized in that: the reference diameter d j For the initial diameter of the grinding wheel, the cylinder diameter d y The pitch circle diameter, the base circle diameter, the root circle diameter or the tip circle diameter of the grinding teeth of the grinding wheel.
4. The worm-grinding wheel coupling according to claim 1The continuous shift calculation method is characterized in that: in S22, the axial reference length L j The preset value is set as follows: at the reference diameter d of the grinding wheel j When the grinding wheel is axially divided into a plurality of grinding sections, the axial length corresponding to one grinding section is the axial reference length L j 。
5. The method of calculating the continuous shift of the worm wheel according to claim 4, further comprising the steps of:
s3: and redistributing the length of each grinding section according to the actual displacement L of the axial movement of the grinding wheel.
6. The worm grinding wheel continuous shift calculation method according to claim 1, characterized in that: in S1, the actual diameter d of the grinding wheel is obtained x The method of (1) is as follows: the actual diameter d is obtained when the grinding wheel finishes shaping each time x 。
7. The continuous displacement calculation method for the worm grinding wheel is characterized by comprising the following steps of:
s1: according to the maximum diameter d of the grinding wheel max Diameter d of minimum use min And helix datum line length L of grinding wheel β With the length L of the spiral line passing by each gear β The same is used as a benchmark to obtain the actual diameter d of the grinding wheel x And the actual displacement L of the gear along the axial movement of the grinding wheel, wherein the spiral datum line length L of the grinding wheel β The method of obtaining the reference line length L of the spiral line in the continuous shift calculation method of the worm grinding wheel according to any one of claims 1 to 6 β Is obtained by the method;
s2: obtaining the actual diameter d of the grinding wheel x Substituting the mapping relation to obtain the actual displacement L of the gear along the axial movement of the grinding wheel;
in S1, the actual diameter d of the grinding wheel x And the actual movement of the gear wheel along the axial direction of the grinding wheelThe method for acquiring the mapping relation of the displacement L comprises the following steps:
s11: according to the maximum diameter d max And the minimum diameter d min Calculating to obtain the maximum actual displacement L of the axial movement of the grinding wheel max ；
S12: obtaining the actual diameter d of the grinding wheel x According to the maximum diameter d of the grinding wheel max And a minimum diameter d min Calculating to obtain the ratio of the actual diameter of the grinding wheel to the total used diameter of the grinding wheel;
s13: according to the maximum actual displacement L of the grinding wheel max And the actual diameter d x The occupied ratio is used for distributing the actual displacement L of the axial movement of the grinding wheel;
or:
s11: according to the maximum diameter d max And the minimum diameter d min Calculating to obtain a compensation coefficient k of the axial movement of the grinding wheel;
s12: obtaining the actual diameter d of the grinding wheel x According to the maximum diameter d of the grinding wheel max And a minimum diameter d min Calculating to obtain the ratio of the actual diameter of the grinding wheel to the total used diameter of the grinding wheel;
s13: based on the compensation coefficient k of the grinding wheel and the actual diameter d x And the actual displacement L of the axial movement of the grinding wheel is distributed according to the occupied ratio.
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