CN117034635A - Method for predicting relative sizes of lining plate abrasion rates under different grinding parameters based on discrete element method - Google Patents
Method for predicting relative sizes of lining plate abrasion rates under different grinding parameters based on discrete element method Download PDFInfo
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- 238000000227 grinding Methods 0.000 title claims abstract description 44
- 238000005299 abrasion Methods 0.000 title claims abstract description 43
- 238000000034 method Methods 0.000 title claims abstract description 20
- 238000011439 discrete element method Methods 0.000 title claims abstract description 17
- 239000000463 material Substances 0.000 claims abstract description 20
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- 239000002245 particle Substances 0.000 claims abstract description 12
- 230000001186 cumulative effect Effects 0.000 claims abstract description 6
- 238000004519 manufacturing process Methods 0.000 claims abstract description 5
- 229910000831 Steel Inorganic materials 0.000 claims description 21
- 239000010959 steel Substances 0.000 claims description 21
- 238000004088 simulation Methods 0.000 claims description 7
- 238000011084 recovery Methods 0.000 claims description 3
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- 238000000498 ball milling Methods 0.000 description 1
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- 239000008187 granular material Substances 0.000 description 1
- 238000009776 industrial production Methods 0.000 description 1
- 238000009434 installation Methods 0.000 description 1
- 238000003801 milling Methods 0.000 description 1
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Abstract
The invention relates to a method for predicting the relative abrasion rate of a lining plate under different grinding parameters based on a discrete element method, and belongs to the technical field of mineral processing. Setting schemes of different grinding parameters according to production requirements of a factory; drawing a cylinder lining plate model, an ore grinding medium model and an ore particle model, and introducing the cylinder lining plate model, the ore grinding medium model and the ore particle model into an EDEM model; setting material properties and contact parameters; setting other grinding parameters consistent with the site; the cumulative tangential impact energy of the cylinder liner under different schemes is obtained, and the relative magnitudes of the abrasion rates under different abrasion parameters are compared according to the Alrad abrasion law so as to determine the optimal abrasion parameters for improving the abrasion of the liner. The invention predicts the relative magnitude of lining plate abrasion rate of the ball mill under different grinding parameters based on the Alrad abrasion law and the discrete element method so as to determine the optimal grinding parameters.
Description
Technical Field
The invention relates to a method for predicting the relative abrasion rate of a lining plate under different grinding parameters based on a discrete element method, and belongs to the technical field of mineral processing.
Background
Milling mill liner wear in concentrating mills can result in additional liner material costs and economic loss of installation replacement time. The ball mill is also different in the motion state of inside material under different operating parameters to lead to the difference of inside granule welt wearing and tearing speed, not only can make welt life cycle short, can lead to more selecting the mill output and can reduce. Therefore, the wear rate of the lining plate under different grinding parameters is predicted by a discrete element method, and the optimal economic balance point between the service life of the lining plate of the mill and the grinding efficiency of the mill is found, so that the economic benefit of the whole mine is effectively improved by selecting factories.
The discrete element method is a particle discrete material analysis method based on a molecular dynamics principle, and is a visual numerical analysis method for calculating particle movement and collision, and the traditional laboratory grinding test is easy to cause larger deviation of production indexes of a mill in industrial production only according to a principle of 'proportion amplification', so that the grinding effect is poor. Therefore, the grinding effect of the small test mill cannot fully reflect the grinding performance of the large mill for the large ball mill. By the discrete element method, the complex motion state of the internal medium during the operation of the industrial mill can be simulated, so that the problems of collision energy, power dissipation, lining plate abrasion and the like of the mill can be further studied, and the grinding performance of the mill can be effectively predicted.
Disclosure of Invention
Aiming at the problems and the shortcomings of the prior art, the invention provides a method for predicting the relative abrasion rate of a lining plate under different grinding parameters based on a discrete element method. The invention predicts the relative magnitude of the lining plate abrasion rate of the ball mill under different grinding parameters based on the Alrad abrasion law and the discrete element method, derives the tangential accumulated collision energy value when the EDEM simulates the stable operation of the industrial ball mill, compares the lining plate abrasion relative rate, so as to determine the optimal grinding parameters, and provides guidance for the mill selection ball milling process parameters.
The invention is realized by the following technical scheme:
a method for predicting the relative abrasion rate of a lining plate under different grinding parameters based on a discrete element method specifically comprises the following steps:
(1) Setting schemes of different grinding parameters according to the production requirements of a factory, wherein the different grinding parameters comprise steel ball grading, rotation rate, filling rate or ball ratio;
(2) Drawing a cylinder lining plate model, an ore grinding medium model and an ore particle model according to the parameters of the ball mill in the industrial field, and introducing the cylinder lining plate model, the ore grinding medium model and the ore particle model into an EDEM model;
(3) Setting material properties of a lining plate, a steel ball and an ore model in an EDEM model, wherein the material properties comprise size, density, elastic modulus and Poisson's ratio; the EDEM simulation software adopts a Hertz-Mindlin nonlinear contact model, adopts a Mindlin method to calculate tangential elastic force (tangential contact stiffness), and calibrates the contact parameters of the steel ball, the ore and the lining plate, wherein the contact parameters comprise a collision recovery coefficient, a static friction factor and a dynamic friction factor;
(4) Setting other grinding parameters consistent with the site in the EDEM model, including the sizes and the numbers of steel balls and ore particles, the rotating speed rate and the simulation running time, and performing simulation;
(5) The cumulative tangential impact energy of the cylinder liner under different schemes is obtained, and the relative magnitudes of the abrasion rates under different abrasion parameters are compared according to the Alrad abrasion law so as to determine the optimal abrasion parameters for improving the abrasion of the liner.
The ball mill parameters in the step (2) are the size of the ball mill, the number of lifting bars, the height of the lifting bars and the face angle.
And (3) the cylinder lining plate model in the step (2) is a slice of a full-size cylinder so as to reduce the calculation cost.
The Alrad abrasion law in the step (5) is as follows:
wherein: v-total volume of wear of the material surface; fτ—tangential force applied to the surface of the material; sτ—the sliding distance on the surface of the material; h—hardness of the wear material; k-dimensionless empirical constants.
According to the Alard's law of wear, the wear of the surface of the material is mainly related to the product of tangential force and sliding distance (tangential energy) applied to the surface of the material, and other parameters are constants, so that the tangential accumulated collision energy value during stable operation of the ball mill can be simulated by deriving discrete elements to compare the wear rate of the lining plate under different grinding parameters. That is, the greater the tangential cumulative impact energy value the greater the liner wear rate is relative, and the smaller the tangential cumulative impact energy value the smaller the liner wear rate is relative.
The beneficial effects of the invention are as follows:
the invention predicts the relative magnitude of the lining plate abrasion rate of the ball mill under different grinding parameters based on the Alrad abrasion law and the discrete element method so as to determine the optimal grinding parameters, and has accurate prediction result for the ball mill and low cost.
Drawings
FIG. 1 is a process flow diagram of the present invention;
FIG. 2 is a schematic diagram of a bowl liner of a ball mill in example 1 of the present invention;
FIG. 3 is a diagram of a steel ball model in example 1 of the present invention;
FIG. 4 is a model view of a steel segment in example 1 of the present invention.
Detailed Description
The invention will be further described with reference to the drawings and detailed description.
Example 1
As shown in fig. 1, the method for predicting the relative magnitude of lining plate wear rate under different grinding parameters based on the discrete element method specifically comprises the following steps:
(1) Setting schemes of different grinding parameters according to the production requirements of a factory, wherein the different grinding parameters comprise steel ball grading, rotation rate, filling rate or ball ratio; the comparison of single parameters or combined parameters can be realized, different grinding media of the industrial ball mill with the diameter of phi 7.32m multiplied by 11.68m are taken as research objects in the embodiment, and the relative sizes of the abrasion rates of the lining plates of the ball mill cylinder body under three different media schemes are predicted:
scheme one:40:30:15, a multi-stage steel ball distribution scheme;
scheme II:30:15, a multi-stage steel ball distribution scheme;
scheme III: 50X 60: 40X 50:30×40:20×30=15: 40:30:15, a multi-stage steel section scheme;
(2) Drawing a cylinder lining plate model (shown in figure 1), an ore grinding medium model (shown in figure 2 steel ball model and figure 3 steel section model) and an ore particle model (18 mm spherical particles) according to the parameters of the ball mill in an industrial field by adopting SOLIWORK software, and introducing the model into an EDEM model;
(3) Setting material properties including size, density, elastic modulus and poisson's ratio for liner, steel ball and ore models in EDEM model as shown in table 1; the EDEM simulation software adopts a Hertz-Mindlin nonlinear contact model, adopts a Mindlin method to calculate tangential elastic force (tangential contact stiffness), and calibrates the contact parameters of the steel ball, the ore and the lining plate, wherein the contact parameters comprise a collision recovery coefficient, a static friction factor and a dynamic friction factor, and the table 2 shows;
TABLE 1 parameters of mechanical Properties of materials
TABLE 2 discrete element simulation contact parameters
(4) Setting other grinding parameters consistent with the site in the EDEM model, wherein the rotation rate is 74%, the medium filling rate is 26%, calculating the number of steel balls or steel segments of each model to be generated in a particle factory according to a medium grading scheme, the rotation speed is 15.67r/min, and setting the simulation running time to be 20s.
(5) The cumulative tangential impact energy of the cylinder liner under different schemes is obtained, and the relative magnitudes of the abrasion rates under different abrasion parameters are compared according to the Alrad abrasion law so as to determine the optimal abrasion parameters for improving the abrasion of the liner.
The simulation is completed, the tangential accumulated collision energy of the lining plates of the ball mill under the scheme of three media in 16.17-20 s is led out in the post-treatment procedure, the tangential accumulated collision energy of the lining plates in the scheme I, the scheme II and the scheme III are 6126.93J, 5794.12J and 6606.45J respectively, the abrasion of the lining plates of the barrel of the ball mill of the scheme II can be predicted to be the lightest by combining with the Alrad abrasion law, and the abrasion of the lining plates of the barrel of the ball mill of the scheme III is the most serious, namely, the medium scheme with the relatively minimum abrasion rate of the lining plates of the barrel of the industrial ball mill of phi 7.32m multiplied by 11.68m is30:15, a multi-stage steel ball distribution scheme.
In the actual field test process, the verification is again carried out30:15 is really that the abrasion rate of the lining plate of the industrial ball mill cylinder is minimum, and the prediction of the invention is more accurate.
While the present invention has been described in detail with reference to the drawings, the present invention is not limited to the above embodiments, and various changes can be made without departing from the spirit of the present invention within the knowledge of those skilled in the art.
Claims (4)
1. A method for predicting the relative abrasion rate of a lining plate under different grinding parameters based on a discrete element method is characterized by comprising the following steps:
(1) Setting schemes of different grinding parameters according to the production requirements of a factory, wherein the different grinding parameters comprise steel ball grading, rotation rate, filling rate or ball ratio;
(2) Drawing a cylinder lining plate model, an ore grinding medium model and an ore particle model according to the parameters of the ball mill in the industrial field, and introducing the cylinder lining plate model, the ore grinding medium model and the ore particle model into an EDEM model;
(3) Setting material properties of a lining plate, a steel ball and an ore model in an EDEM model, wherein the material properties comprise size, density, elastic modulus and Poisson's ratio; calibrating the contact parameters of the steel ball, the ore and the lining plate, wherein the contact parameters comprise a collision recovery coefficient, a static friction factor and a dynamic friction factor;
(4) Setting other grinding parameters consistent with the site in the EDEM model, including the sizes and the numbers of steel balls and ore particles, the rotating speed rate and the simulation running time, and performing simulation;
(5) The cumulative tangential impact energy of the cylinder liner under different schemes is obtained, and the relative magnitudes of the abrasion rates under different abrasion parameters are compared according to the Alrad abrasion law so as to determine the optimal abrasion parameters for improving the abrasion of the liner.
2. The method for predicting relative sizes of lining plate wear rates under different grinding parameters based on a discrete element method according to claim 1, wherein the method comprises the following steps of: the ball mill parameters in the step (2) are the size of the ball mill, the number of lifting bars, the height of the lifting bars and the face angle.
3. The method for predicting relative sizes of lining plate wear rates under different grinding parameters based on a discrete element method according to claim 1, wherein the method comprises the following steps of: and (3) the cylinder lining plate model in the step (2) is a slice of a full-size cylinder.
4. The method for predicting relative sizes of lining plate wear rates under different grinding parameters based on a discrete element method according to claim 1, wherein the method comprises the following steps of: the Alrad abrasion law in the step (5) is as follows:
wherein: v-total volume of wear of the material surface; fτ—tangential force applied to the surface of the material; sτ—the sliding distance on the surface of the material; h—hardness of the wear material; k-dimensionless empirical constants.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN117282507A (en) * | 2023-11-24 | 2023-12-26 | 昆明理工大学 | Optimal grinding medium proportioning method by identifying area selection of inert area in ball mill |
| CN117313435A (en) * | 2023-11-29 | 2023-12-29 | 昆明理工大学 | Speed characteristic comparison analysis method for different medium proportioning schemes based on discrete element method |
| CN117407995A (en) * | 2023-12-14 | 2024-01-16 | 中信重工机械股份有限公司 | Semi-autogenous mill grinding medium dynamics modeling method |
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2023
- 2023-08-21 CN CN202311054574.2A patent/CN117034635A/en active Pending
Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN117282507A (en) * | 2023-11-24 | 2023-12-26 | 昆明理工大学 | Optimal grinding medium proportioning method by identifying area selection of inert area in ball mill |
| CN117282507B (en) * | 2023-11-24 | 2024-02-13 | 昆明理工大学 | Optimal grinding medium proportioning method by identifying area selection of inert area in ball mill |
| CN117313435A (en) * | 2023-11-29 | 2023-12-29 | 昆明理工大学 | Speed characteristic comparison analysis method for different medium proportioning schemes based on discrete element method |
| CN117313435B (en) * | 2023-11-29 | 2024-02-02 | 昆明理工大学 | Speed characteristic comparison analysis method for different medium proportioning schemes based on discrete element method |
| CN117407995A (en) * | 2023-12-14 | 2024-01-16 | 中信重工机械股份有限公司 | Semi-autogenous mill grinding medium dynamics modeling method |
| CN117407995B (en) * | 2023-12-14 | 2024-03-22 | 中信重工机械股份有限公司 | Semi-autogenous mill grinding medium dynamics modeling method |
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