CN106670991A - Optimal selection method for pattern of bonded abrasive grinding disc with phyllotaxis pattern - Google Patents

Optimal selection method for pattern of bonded abrasive grinding disc with phyllotaxis pattern Download PDF

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Publication number
CN106670991A
CN106670991A CN201611063310.3A CN201611063310A CN106670991A CN 106670991 A CN106670991 A CN 106670991A CN 201611063310 A CN201611063310 A CN 201611063310A CN 106670991 A CN106670991 A CN 106670991A
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China
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pattern
phyllotaxy
abrasive
phyllotaxis
grinding disc
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CN201611063310.3A
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CN106670991B (en
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方从富
赵再兴
刘冲
胡中伟
徐西鹏
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Huaqiao University
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Huaqiao University
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B24—GRINDING; POLISHING
    • B24D—TOOLS FOR GRINDING, BUFFING OR SHARPENING
    • B24D18/00—Manufacture of grinding tools or other grinding devices, e.g. wheels, not otherwise provided for
    • B24D18/0054—Manufacture of grinding tools or other grinding devices, e.g. wheels, not otherwise provided for by impressing abrasive powder in a matrix
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B24—GRINDING; POLISHING
    • B24D—TOOLS FOR GRINDING, BUFFING OR SHARPENING
    • B24D2203/00—Tool surfaces formed with a pattern
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00—Details relating to CAD techniques
    • G06F2111/10—Numerical modelling

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Manufacturing & Machinery (AREA)
  • Mechanical Engineering (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Manufacturing Of Magnetic Record Carriers (AREA)
  • Finish Polishing, Edge Sharpening, And Grinding By Specific Grinding Devices (AREA)

Abstract

The invention relates to an optimal selection method for a pattern of a bonded abrasive grinding disc with the phyllotaxis pattern. The optimal selection method comprises the steps that firstly, the diameter of the grinding disc, and the optimal selection range for the phyllotaxis parameter of the pattern on the surface of the grinding disc are set; secondly, a graphic primitive type is constructed and the distribution density of abrasive particles on the surface of a graphic primitive is set; thirdly, a digital model of the pattern of the grinding disc with the phyllotaxis pattern and an abrasive particle position information matrix are generated according to an H.Vogel plane phyllotaxis model; fourthly, the digital model is subjected to grinding motion, a workpiece is dispersed into M*N areas, statistics of the abrasive particle scratching densities of all the dispersed areas are made, and the overall evaluation coefficient of the scratching density of abrasive particles on the surface of the workpiece is established and calculated. By repeating the process, the overall evaluation coefficients of all patterns are calculated in sequence, and accordingly the grinding disc phyllotaxis pattern with the minimum overall evaluation coefficient is optimally selected. By adoption of the method, through computer calculation, the experimental cost can be saved, the design efficiency of the phyllotaxis grinding disc pattern is improved, and the design scope of the phyllotaxis grinding disc pattern is extended.

Description

A kind of pattern method for optimizing of concretion abrasive phyllotaxy abrasive disk
Technical field
The present invention relates to mill design and manufacture field, more particularly to a kind of theoretical and kinesiology coupling based on phyllotaxy The pattern method for optimizing of concretion abrasive phyllotaxy abrasive disk.
Background technology
Grinding and polishing processes the precision and ultra-precision machining as a kind of high surface precision of acquisition surface of the work and surface quality Technical method, is used widely in ceramics, optical crystal and semiconductor substrate materials manufacture field.As grinding and polishing process One of crucial consumptive material solidified abrasive grinding disk, with high shape retention and grain motion trajectory controllability, by closing The patterning of reason planning and designing disc surface, can cause lapping liquid flowing smooth, change grain motion distribution, prevent mill Panel surface is blocked, to improving working (machining) efficiency, surface of the work crudy and extending abrasive disk abrasion etc. with positive effect.Consolidation Abrasive material phyllotaxy mill is used as a kind of new patterning milling tool, and have that general pattern milling tool is difficult to surmount is excellent Gesture, its reason is that phyllotaxy pattern meets spiral radiation arrangement, enables to lapping liquid work in-process and more uniformly smoothly flows It is dynamic, be conducive to grinding bits waste and discharge in time；And adjusting phyllotaxy coefficient can very easily change phyllotaxy pattern so that disc surface Abrasive particle can more uniformly scratch cutting workpiece, improve workpiece surface quality and working (machining) efficiency.It is therefore preferable that suitable leaf Sequence pattern has great importance to lifting the processing characteristics of mill and improving workpiece surface quality.
Phyllotaxy theory comes from the phyllotaxy arrangement mode of natural plant flowers, blade, meets strict Mathematical rule. H.Vogel is theoretical by research phyllotaxy, obtains 137.508 ° of gold phyllotaxy angle.Subsequently, scholars are according to gold phyllotaxy angle system Standby abrasive disk, and carried out lot of experiments, it was confirmed that the phyllotaxy mill under the phyllotaxy parameter have it is more excellent plus Work performance.According to phyllotaxy theoretical formula θ=α × n,Wherein θ is polar angle of the phyllotaxy unit in polar coordinate, and r is leaf Polar diameter of the sequence unit in polar coordinate, n is phyllotaxy unit ordinal number, and α and c is phyllotaxy constants.By adjust phyllotaxy parameter alpha and C values, it is possible to obtain a large amount of phyllotaxy patterns.However, in these phyllotaxy parameter alphas and c combinations, being not suitable for preparing phyllotaxy and grinding Mill, its reason is the change with phyllotaxy parameter alpha and c, and its phyllotaxy disc surface abrasive material scratches the motion of cutting workpiece Change therewith, have impact on grinding track distribution.The method for optimizing of existing phyllotaxy mill is relied primarily on and calculates limited phyllotaxy ginseng Array is closed, by preparing corresponding phyllotaxy mill and being aided with lot of experiments, according to result of the test come preferably optimal phyllotaxy parameter Combination, the method investigate phyllotaxy parameter combination is limited, preferred cycle length, experimentation cost are high, preferred scope is narrow.
In order to solve the above problems, quickly seek more more preferably phyllotaxy parameter combinations to prepare phyllotaxy abrasive disk, this Invention provides a kind of pattern method for optimizing of concretion abrasive phyllotaxy abrasive disk.
The content of the invention
The problem that the present invention exists for prior art, there is provided a kind of calculating speed is fast, preferred scope wide and preferred effect The pattern method for optimizing of really good concretion abrasive phyllotaxy abrasive disk.
To realize the purpose, a kind of pattern method for optimizing of concretion abrasive phyllotaxy abrasive disk of the present invention solves technology and asks The scheme of topic comprises the steps：
Step S1：Lap diameter, the phyllotaxy parameter preferred scope of abrasive disk picture on surface are set, with the grinding dish type Basic cell structure into phyllotaxy pattern is pel, constructs primitive types, and arranges the abrasive particle distribution density of primitive surface；
Step S2：According to H.Vogel plane phyllotaxy models, the abrasive disk pattern of the construction pel phyllotaxy arrangement is generated Digital model, and generate abrasive disk Abrasive Grain positional information matrix；
Step S3：Apply grinding motion to the digital model, workpiece is separated into into M × n-quadrant, count each discrete Abrasive particle scratching density in region, sets up and calculates the global assessment coefficient that surface of the work abrasive particle scratches density, wherein M ＞ 1, N ＞ 1, M, N is integer；
Step S4：Repeat said process, sequentially generating need to carry out the phyllotaxy abrasive disk pattern of phyllotaxy parameter calculating, and successively Its global assessment coefficient is calculated, so as to the phyllotaxy abrasive disk pattern more minimum than more preferably going out global assessment coefficient value.
Preferably, the diameter range of the abrasive disk is 100mm~1200mm.
Preferably, the cross section of the pel includes circle, tetragon, hexagon and triangle, abrasive particle on the pel Density is 0.1~2mm2。
Preferably, the digital model is based on the abrasive grain locations information square under polar coordinate system and cartesian coordinate system Battle array.
Preferably, the grinding motion includes one side grinding motion and twin grinding campaign.
Preferably, the workpiece is discrete using XY grids or concentric circular grid is discrete, and discrete magnitude is 0.5~3mm.
Preferably, the global assessment coefficient selection standard difference or relative standard deviation.
Present invention advantage compared with prior art is：
1. the present invention is for the difference of grinding motion mode and the advantage of the bionical disk of performance phyllotaxy, it is proposed that one kind is based on leaf The pattern method for optimizing of order theory and the concretion abrasive phyllotaxy abrasive disk of kinesiology coupling, the method had both remained phyllotaxy structure Spiral radiation characteristic, flows and grinds bits waste discharge beneficial to lapping liquid；Also according to Global motion planning mill the characteristics of grinding motion The arrangement mode of picture on surface, scratches being uniformly distributed for cutting path, so as to improve the processing on grinding work-piece surface beneficial to abrasive particle Quality and working (machining) efficiency.The pattern method for optimizing of concretion abrasive phyllotaxy abrasive disk is applied to single-side/double-side grinding and polishing.
2. the method for the present invention, realizes on computers, simple to operate, with favor speed is fast, preferred scope is wide and excellent The characteristics of selecting effect good, preferably after pattern only need a small amount of verification experimental verification, design and the preparation cost of mill can be substantially reduced.
The present invention is described in further detail below in conjunction with drawings and Examples；But a kind of concretion abrasive leaf of the present invention The pattern method for optimizing of sequence abrasive disk is not limited to embodiment.
Description of the drawings
Fig. 1 is the flow chart of phyllotaxy pattern method for optimizing of the present invention；
Fig. 2 is the preferred phyllotaxy abrasive disk pattern of one embodiment of the invention.
Specific embodiment
The flow chart of the inventive method with reference to shown in Fig. 1, treats preferred gold with the phyllotaxy pattern of a diameter of 500mm below Hard rock micropowder phyllotaxy abrasive disk is specifically described for example, the example to realize the inventive method specific implementation step such as Under：
Step S1：The component units structure (pel) of construction phyllotaxy abrasive disk pattern, primitive shapes are circle, primitive surface Abrasive material surface density is 0.5mm-2, the phyllotaxy parameter alpha scope of investigation is 70~100 °, and phyllotaxy parameter c scope is 1.8~8；
Step S2：Using H.Vogel plane phyllotaxy models, the numeral of the abrasive disk pattern of construction pel phyllotaxy arrangement is generated Change model, and the disc surface abrasive grain locations information matrix (R of construction is preserved using Matlab softwaresp,θp)；
Step S3：Apply one side grinding motion to pattern digital model, concrete grain motion form is：
Wherein, (xp,yp) for abrasive particle in the scratching cutting path position of surface of the work, (Rp,θp) it is the mill under polar coordinate The positional information matrix of panel surface abrasive particle, ωwFor workpiece rotational frequency, ωgFor speed of grinding plate, e is workpiece centre to the inclined of mill center Heart distance.
The workpiece of a diameter of 100mm is separated into 100 × 100 regions by step S4. using XY grids, statistics 100 × 100 from Abrasive particle scratching number of times in scattered region, and calculate the global assessment coefficient MU that the abrasive particle of discretization surface of the work scratches number of times；
Wherein, ρiFor abrasive particle scratch i-th each zone of dispersion scratching density,It is average in the overall situation of surface of the work for abrasive particle Scratching density, N is the total zone of dispersion quantity of surface of the work.
Step S5：Repeat said process, sequentially generate the phyllotaxy abrasive disk pattern of different phyllotaxy parameters, calculate its overall situation and comment Valency coefficient, by comparing global assessment coefficient MU, preferably goes out the phyllotaxy parameter of the little phyllotaxy pattern abrasive disk of global assessment coefficient For θ=86 ° × n,Its pattern is as shown in Figure 2.
In another embodiment of the invention, lap diameter is set as 500mm, fixed phyllotaxy parameter alpha is 137.508 °, Pel structure is circle, and primitive surface abrasive material surface density is 0.5mm-2, it is 1.8~8 by investigating phyllotaxy parameter c scope, finally It is preferred that the phyllotaxy parameter of the optimal phyllotaxy pattern abrasive disk for going out is θ=137.508 ° × n,
The pattern that above-described embodiment is only used for a kind of concretion abrasive phyllotaxy abrasive disk for further illustrating the present invention is preferably square Method and manufacture method, but embodiment is the invention is not limited in, every technical spirit according to the present invention is to above example institute Any simple modification, equivalent variations and the modification made, each falls within the protection domain of technical solution of the present invention.

Claims (7)

1. a kind of pattern method for optimizing of concretion abrasive phyllotaxy abrasive disk, it is characterised in that comprise the following steps：
Step S1：Lap diameter, the phyllotaxy parameter preferred scope of abrasive disk picture on surface are set, leaf is formed with the abrasive disk The basic cell structure of sequence pattern is pel, constructs primitive types, and arranges the abrasive particle distribution density of primitive surface；
Step S2：According to H.Vogel plane phyllotaxy models, the numeral of the abrasive disk pattern of the construction pel phyllotaxy arrangement is generated Change model, and generate abrasive disk Abrasive Grain positional information matrix；
Step S3：Apply grinding motion to the digital model, workpiece is separated into into M × n-quadrant, count each zone of dispersion Interior abrasive particle scratches density, sets up and calculate the global assessment coefficient that surface of the work abrasive particle scratches density, wherein M ＞ 1, N ＞ 1；
Step S4：Repeat said process, sequentially generating need to carry out the phyllotaxy abrasive disk pattern of phyllotaxy parameter calculating, and calculate successively Its global assessment coefficient, so as to the phyllotaxy abrasive disk pattern more minimum than more preferably going out global assessment coefficient value.
2. method for optimizing according to claim 1, it is characterised in that the diameter range of the abrasive disk be 100mm~ 1200mm。
3. method for optimizing according to claim 1, it is characterised in that the cross section of the pel include circle, tetragon, Hexagon and triangle, abrasive grain density is 0.1~2mm on the pel2。
4. method for optimizing according to claim 1, it is characterised in that the digital model is based on polar coordinate system and flute Abrasive grain locations information matrix under karr coordinate system.
5. method for optimizing according to claim 1, it is characterised in that the grinding campaign includes one side grinding motion and double Face grinding motion.
6. method for optimizing according to claim 1, it is characterised in that the workpiece is using XY grids are discrete or concentric cylinder Lattice are discrete, and discrete magnitude is 0.5~3mm.
7. method for optimizing according to claim 1, it is characterised in that the global assessment coefficient selection standard difference or relative Standard deviation.
CN201611063310.3A 2016-11-28 2016-11-28 A kind of pattern preferred method of concretion abrasive phyllotaxy abrasive disk Active CN106670991B (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114193342A (en) * 2021-12-15 2022-03-18 长春工业大学 Structured grinding wheel based on combined bionic thought

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20060094340A1 (en) * 2004-10-29 2006-05-04 Ouderkirk Andrew J Process for manufacturing optical and semiconductor elements
CN101469252A (en) * 2007-12-28 2009-07-01 福吉米股份有限公司 Polishing composition
CN102601747A (en) * 2011-01-20 2012-07-25 中芯国际集成电路制造(上海)有限公司 Grinding pad as well as producing method and using method therefor
WO2015167899A1 (en) * 2014-05-02 2015-11-05 3M Innovative Properties Company Interrupted structured abrasive article and methods of polishing a workpiece
CN105408064A (en) * 2013-07-02 2016-03-16 3M创新有限公司 Abrasive article and adapter therefore

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20060094340A1 (en) * 2004-10-29 2006-05-04 Ouderkirk Andrew J Process for manufacturing optical and semiconductor elements
CN101469252A (en) * 2007-12-28 2009-07-01 福吉米股份有限公司 Polishing composition
CN102601747A (en) * 2011-01-20 2012-07-25 中芯国际集成电路制造(上海)有限公司 Grinding pad as well as producing method and using method therefor
CN105408064A (en) * 2013-07-02 2016-03-16 3M创新有限公司 Abrasive article and adapter therefore
WO2015167899A1 (en) * 2014-05-02 2015-11-05 3M Innovative Properties Company Interrupted structured abrasive article and methods of polishing a workpiece

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114193342A (en) * 2021-12-15 2022-03-18 长春工业大学 Structured grinding wheel based on combined bionic thought

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