CN109858168A - A kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation - Google Patents
A kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation Download PDFInfo
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- CN109858168A CN109858168A CN201910113524.4A CN201910113524A CN109858168A CN 109858168 A CN109858168 A CN 109858168A CN 201910113524 A CN201910113524 A CN 201910113524A CN 109858168 A CN109858168 A CN 109858168A
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Abstract
The present invention relates to a kind of wheel face abrasive grain placement optimized calculation methods based on discrete element emulation, mainly include the following contents: the definition of grinding wheel cohesive body and wheel face abrasive grain；The foundation of grinding wheel initial model；The generation of grinding wheel cohesive body and Abrasive Grain intersecting point coordinate；The foundation of grinding wheel final mask.The present invention mainly uses random coordinates and the method for equation defines grinding wheel cohesive body and wheel face abrasive grain, the final grinding wheel based on rigid wall established for discrete element emulation, the model and the practical Configuration of Grinding-wheel Surface goodness of fit are preferable, the grinding wheel cohesive body and Abrasive Grain established by the way of rigid wall, it can reflect the microstructure characteristic of practical grinding wheel strictly according to the facts and greatly improve simulation velocity and efficiency.
Description
Technical field
The invention belongs to Configuration of Grinding-wheel Surface to emulate field, and in particular to a kind of wheel face mill based on discrete element emulation
Grain arrangement optimized calculation method.
Background technique
In Grinding Process, since abrasive grain quantity is more, geometry is irregular, grinding speed is high, grinding depth is small
And the reasons such as inconsistent, Germicidal efficacy and analysis grinding process are relatively difficult, and therefore, lot of domestic and foreign scholar draws emulation technology
Entered in Study on grinding, for the powerful descriptive power of strong dynamic process, just suitable for research high speed, it is complicated,
It is difficult to the grinding process observed.
One critically important task of Simulation of Grinding work is exactly grinding wheel modeling, and establishing accurate grinding wheel model is various mills
Cut simulation study first problem all to be solved.Grinding is a kind of processing method of complexity, has very strong randomness, and this
Randomness is determined by the randomness of wheel face landforms, is more connect so only establishing with practical grinding wheel
Close grinding wheel model is possible to accurately carry out subsequent Simulation of Grinding work.In recent years, distinct element method obtains in Simulation of Grinding
Application has been arrived, in terms of grinding wheel modeling, patent (application publication number: 106903623 A of CN) and patent (application publication number: CN
108871770 A) use distinct element method to establish the two-dimensional discrete meta-model of grinding wheel, final grinding wheel model is mainly with discrete
First particle characterization, however, the discrete element amounts of particles for characterizing grinding wheel is also quite a lot of when establishing biggish grinding wheel model, emulation
Speed and efficiency can decrease.In order to solve the above problem, the present invention provides a kind of grinding wheel tables based on discrete element emulation
Face abrasive grain placement optimized calculation method, can effectively improve simulation velocity and efficiency, bring great convenience to simulation work.
Summary of the invention
In order to achieve the above object, the present invention provide it is a kind of by discrete element emulation wheel face abrasive grain placement optimization based on
Calculation method.
The invention patent the technical solution adopted is that: it is a kind of by discrete element emulation wheel face abrasive grain placement optimization based on
Calculation method, which comprises the following steps:
(1) define grinding wheel and bond body portion: grinding wheel cohesive body is defined as round wall；
(2) it defines wheel face abrasive grain part: generating several random coordinates points, adjacent coordinates point successively connects counterclockwise
Closed random polygon is formed, wheel face abrasive grain is defined as random polygon wall；
(3) it establishes grinding wheel initial model: firstly generating a round wall, regenerate multiple random polygon walls, build
Vertical discrete element grinding wheel initial model；
(4) grinding wheel cohesive body and Abrasive Grain intersecting point coordinate are generated: solving the friendship of random polygon wall and round wall
Point coordinate deletes the coordinate points of random polygon wall in circular wall body；
(5) grinding wheel final mask is established: by the intersecting point coordinate of round wall and random polygon wall and not deleted
Random polygon wall residue coordinate points, are sequentially connected by counter-clockwise, establish discrete element grinding wheel final mask.
Above-mentioned a kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation, in the step (1)
Round wall, the center of circle is located at coordinate origin, radius R, the equation of circle are as follows:
x2+y2=R2 (1)
Above-mentioned a kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation, in the step (2)
Round wall near zone of the random coordinates point in step (1) generate, the number of random coordinates point is n:
N=int (N+2m) (2)
In formula, N is the initial coordinate point number assigned, and integer of the N between (3~8), m are to obey in (- 1~1)
The random number of even distribution.
Above-mentioned a kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation, in the step (3)
Random polygon wall by the random coordinates point in step (2) counterclockwise be connected form, random coordinates point is more
The vertex of side shape wall, the line segment between two adjacent vertexs are the side of polygon wall, multiple by generating in round wall peripheral region
Nonoverlapping random polygon wall, establishes grinding wheel initial model.
A kind of above-mentioned wheel face abrasive grain placement optimized calculation method based on discrete element emulation:
(a) in the step (4) intersecting point coordinate of random polygon wall and round wall by random polygon side and
Round relationship determines that the equation of random polygon edge is characterized by the two point form of linear equation, and round equation is the formula (1),
Solve system of equation are as follows:
(b) coordinate points to be deleted are determined by putting with round positional relationship in the step (4), judge formula are as follows:
x2+y2-R2< 0 (4)
A kind of above-mentioned wheel face abrasive grain placement optimized calculation method based on discrete element emulation, the step (5)
Realization process are as follows: be sequentially connected the coordinate points for meeting formula (1) counterclockwise, the intersection coordinate points and not that formula (3) solves
The coordinate points for the random polygon deleted, establish discrete element grinding wheel final mask, wherein random polygon wall characterizes wheel face
Abrasive grain, circular wall characterize grinding wheel cohesive body.
Detailed description of the invention
Fig. 1 is a kind of wheel face abrasive grain placement optimized calculation method flow chart based on discrete element emulation.
Fig. 2 is the schematic illustration that cohesive body wall generates.
Fig. 3 is the schematic illustration that random coordinates point generates.
Fig. 4 is random polygon QiThe schematic illustration of generation.
Fig. 5 is the schematic illustration that cohesive body and single abrasive grain generate.
Fig. 6 is the grinding wheel two-dimensional discrete meta-model diagram established.
Specific embodiment
The present invention will be further explained below with reference to the attached drawings.
A kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation, which is characterized in that including following
Step:
(1) define grinding wheel and bond body portion: grinding wheel cohesive body is defined as round wall；
(2) it defines wheel face abrasive grain part: generating several random coordinates points, adjacent coordinates point successively connects counterclockwise
Closed random polygon is formed, wheel face abrasive grain is defined as random polygon wall；
(3) it establishes grinding wheel initial model: firstly generating a round wall, regenerate multiple random polygon walls, build
Vertical discrete element grinding wheel initial model；
(4) grinding wheel cohesive body and Abrasive Grain intersecting point coordinate are generated: solving the friendship of random polygon wall and round wall
Point coordinate deletes the coordinate points of random polygon wall in circular wall body；
(5) grinding wheel final mask is established: by the intersecting point coordinate of round wall and random polygon wall and not deleted
Random polygon wall residue coordinate points, are sequentially connected by counter-clockwise, establish discrete element grinding wheel final mask.
Detailed process are as follows:
(1) a round wall is initially set up, grinding wheel cohesive body is characterized with this, the center of circle is located at coordinate origin, and half
Diameter is R, as shown in Fig. 2, the equation of its circle are as follows:
x2+y2=R2 (1)
(2) random coordinates point is generated, random coordinates point is located at circular wall body near zone, and the number of random coordinates point is n,
N=int (N+2m) (2)
In formula, N is the initial coordinate point number assigned, and integer of the N between (3~8), m are to obey in (- 1~1)
The random number of even distribution.When it is 6 that m, which is 0, N, then 6 coordinate points generated at random are denoted as: pa(xpa,ypa)、pb(xpb,ypb)、
pc(xpc,ypc)、pd(xpd,ypd)、pe(xpe,ype)、pf(xpf,ypf), as shown in Figure 3.
(3) the 6 coordinate points p generated at randoma(xpa,ypa)、pb(xpb,ypb)、pc(xpc,ypc)、pd(xpd,ypd)、pe(xpe,
ype)、pf(xpf,ypf), from pa(xpa,ypa) start, it is connected is sequentially connected counterclockwise, obtains as shown in Figure 4 random
Polygon wall.Random coordinates point is the vertex of polygon wall, and the line segment between two adjacent vertexs is the side of polygon wall, by
Round wall peripheral region generates multiple nonoverlapping random polygon walls, establishes grinding wheel initial model.
(4) (a) in grinding wheel initial model, random polygon wall and circular wall know from experience the part for having intersection, in Fig. 4
Two intersection point pm(xpm,ypm)、pn(xpn,ypn), intersecting point coordinate can be determined by the side of random polygon and the relationship of circle, with
The equation of machine polygon edge is characterized by the two point form of linear equation, and round equation is formula (1), passes through the random polygon edge of simultaneous
The equation of equation and circle can solve its intersecting point coordinate pm(xpm,ypm)、pn(xpn,ypn), equation group are as follows:
(b) the intracorporal random coordinates point of circular wall is deleted, the coordinate points of deletion are determined by putting with round positional relationship, are sentenced
Disconnected formula are as follows:
x2+y2-R2< 0 (4)
(5) it is sequentially connected the coordinate points for meeting formula (1) counterclockwise, the intersection coordinate points and not that formula (3) solves
The coordinate points for the random polygon deleted, establish discrete element grinding wheel final mask.Assuming that intersect coordinate points p in Fig. 4n(xpn,
ypn) it is origin coordinates point, the then order of connection are as follows: pn(xpn,ypn)、pe(xpe,ype)、pf(xpf,ypf)、pa(xpa,ypa)、pb(xpb,
ypb)、pm(xpm,ypm), with coordinate points p when discrete element grinding wheel final mask is closedn(xpn,ypn) it is the last one end point of model.
Wherein the abrasive grain of random polygon wall characterization wheel face, circular wall characterize grinding wheel cohesive body, as shown in Figure 6.
Claims (6)
1. a kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation, which is characterized in that including following step
It is rapid:
(1) define grinding wheel and bond body portion: grinding wheel cohesive body is defined as round wall；
(2) it defines wheel face abrasive grain part: generating several random coordinates points, successively connection is formed adjacent coordinates point counterclockwise
Closed random polygon, wheel face abrasive grain are defined as random polygon wall；
(3) establish grinding wheel initial model: firstly generating a round wall, regenerate multiple random polygon walls, establish from
Dissipate member grinding wheel initial model；
(4) generate grinding wheel cohesive body and Abrasive Grain intersecting point coordinate: the intersection point for solving random polygon wall and round wall is sat
Mark deletes the coordinate points of random polygon wall in circular wall body；
(5) grinding wheel final mask is established: by the intersecting point coordinate of round wall and random polygon wall and not deleted random
Polygon wall residue coordinate points, are sequentially connected by counter-clockwise, establish discrete element grinding wheel final mask.
2. a kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation according to claim 1,
It is characterized in that, the round wall in the step (1), the center of circle is located at coordinate origin, radius R, the equation of circle are as follows:
x2+y2=R2 (1)
3. a kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation according to claim 1,
It is characterized in that, round wall near zone of the random coordinates point in the step (2) in step (1) generates, random coordinates
The number of point is n:
N=int (N+2m) (2)
In formula, N is the initial coordinate point number assigned, and integer of the N between (3~8), m are that uniform point is obeyed in (- 1~1)
The random number of cloth.
4. a kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation according to claim 1,
It is characterized in that, the random polygon wall in the step (3) is by the phase counterclockwise of the random coordinates point in step (2)
Company forms, and random coordinates point is the vertex of polygon wall, and the line segment between two adjacent vertexs is the side of polygon wall, by circle
Wall peripheral region generates multiple nonoverlapping random polygon walls, establishes grinding wheel initial model.
5. a kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation according to claim 1,
It is characterized in that:
(a) in the step (4) intersecting point coordinate of random polygon wall and round wall by random polygon side and justify
Relationship determines that the equation of random polygon edge is characterized by the two point form of linear equation, and round equation is as stated in claim 2
Formula (1), solve system of equation are as follows:
(b) coordinate points to be deleted are determined by putting with round positional relationship in the step (4), judge formula are as follows:
x2+y2-R2< 0 (4)
6. a kind of wheel face abrasive grain placement optimized calculation method based on discrete element emulation according to claim 1,
It is characterized in that, the realization process of the step (5) are as follows: be sequentially connected the coordinate points for meeting formula (1), formula counterclockwise
(3) coordinate points of the intersection coordinate points and not deleted random polygon that solve, establish discrete element grinding wheel final mask, wherein with
Machine polygon wall characterizes the abrasive grain of wheel face, and circular wall characterizes grinding wheel cohesive body.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110704985A (en) * | 2019-10-16 | 2020-01-17 | 北京航空航天大学 | Involute grinding wheel grinding surface appearance simulation method |
| CN114580244A (en) * | 2022-03-10 | 2022-06-03 | 苏州科技大学 | Grinding wheel landform simulation method based on polyhedral abrasive particles |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105574249A (en) * | 2015-12-14 | 2016-05-11 | 北京工业大学 | Grinding force model for worm-shaped grinding wheel gear grinding |
| CN106503289A (en) * | 2016-09-18 | 2017-03-15 | 南京航空航天大学 | The polycrystalline CBN abrasive particles soldering that is split based on Thiessen polygon and the synergistic stress simulation method of grinding |
| US20170370193A1 (en) * | 2016-06-27 | 2017-12-28 | Trican Well Service, Ltd. | System for determining formation stresses using drill cuttings |
| CN108687683A (en) * | 2018-06-04 | 2018-10-23 | 湘潭大学 | A kind of grinding wheel discrete element modeling method considering abrasive grain shape and its distribution randomness |
| CN108818337A (en) * | 2018-07-05 | 2018-11-16 | 南京航空航天大学 | Form grinding single layer soldering CBN grinding wheel abrasive grain placement design and implementation methods |
-
2019
- 2019-02-14 CN CN201910113524.4A patent/CN109858168B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105574249A (en) * | 2015-12-14 | 2016-05-11 | 北京工业大学 | Grinding force model for worm-shaped grinding wheel gear grinding |
| US20170370193A1 (en) * | 2016-06-27 | 2017-12-28 | Trican Well Service, Ltd. | System for determining formation stresses using drill cuttings |
| CN106503289A (en) * | 2016-09-18 | 2017-03-15 | 南京航空航天大学 | The polycrystalline CBN abrasive particles soldering that is split based on Thiessen polygon and the synergistic stress simulation method of grinding |
| CN108687683A (en) * | 2018-06-04 | 2018-10-23 | 湘潭大学 | A kind of grinding wheel discrete element modeling method considering abrasive grain shape and its distribution randomness |
| CN108818337A (en) * | 2018-07-05 | 2018-11-16 | 南京航空航天大学 | Form grinding single layer soldering CBN grinding wheel abrasive grain placement design and implementation methods |
Non-Patent Citations (5)
| Title |
|---|
| HAONAN LI,ETC.: "Modeling and simulation of grinding wheel by discrete element method and experimental validation", 《INT J ADV MANUF TECHNOL》 * |
| J.L. OSA,ETC.: "Discrete-element modelling of the grinding contact length combining the wheel-body structure and the surface-topography models", 《INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE》 * |
| SEBASTIAN BARTH，ETC.: "MODELING OF THE GRINDING WHEEL TOPOGRAPHY DEPENDING ON THE RECIPE-DEPENDENT VOLUMETRIC COMPOSITION", 《JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING》 * |
| 宿崇等: "陶瓷CBN砂轮地貌建模与磨削仿真", 《中国机械工程》 * |
| 邓朝晖，等: "基于球切多面体和光密度的砂轮建模与测量", 《机械工程学报》 * |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110704985A (en) * | 2019-10-16 | 2020-01-17 | 北京航空航天大学 | Involute grinding wheel grinding surface appearance simulation method |
| CN114580244A (en) * | 2022-03-10 | 2022-06-03 | 苏州科技大学 | Grinding wheel landform simulation method based on polyhedral abrasive particles |
| CN114580244B (en) * | 2022-03-10 | 2024-04-26 | 苏州科技大学 | Grinding wheel topography simulation method based on polyhedral abrasive particles |
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