CN117407994A - Subcritical rotation speed judging method of mineral mill - Google Patents
Subcritical rotation speed judging method of mineral mill Download PDFInfo
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Abstract
The patent introduces a subcritical rotation speed judging method of a mineral mill, wherein an outermost layer grinding medium of the mineral mill, which directly receives the lifting action of a cylinder liner, is taken as a research object, and a geometric analysis method is utilized to carry out mathematical modeling on the mineral mill provided with the cylinder liner; performing kinematic analysis on the grinding medium based on a layered motion theory; based on the analysis and the differential equation of the motion of the grinding medium, the disengaging angle of the grinding medium at the outermost layer, which is directly lifted by the lining plate, can be obtained; reversely solving the subcritical rotation speed of the mineral mill based on the proposed mathematical model; simulating the motion trail of the grinding medium by a discrete element method, and verifying the accuracy of the established mathematical model; the method can effectively reduce the upper limit of the maximum working rotation speed judgment of the mineral mill, improve the accuracy of the upper limit boundary judgment of the working rotation speed of the mineral mill, and provide a new judgment method for limiting the maximum working rotation speed of the mineral mill.
Description
Technical Field
The invention relates to the technical field of critical rotation speed judgment of a mineral mill, in particular to a subcritical rotation speed judgment method of the mineral mill.
Background
In the field of mine crushing and grinding, a mineral mill lifts a grinding medium to a certain height through a cylinder liner lifting bar and then performs throwing movement, so that crushing and grinding of minerals are realized; the motion trail of the outermost layer grinding medium is an outer wrapping line of the motion trail of all the grinding mediums, so that the motion range of other grinding mediums is determined; the working rotation speed is an important working parameter for running the mineral mill in an optimal state and realizing optimal crushing and grinding of the mineral, and the maximum rotation speed is an important rotation speed boundary of the upper limit rotation speed of the mineral mill; if the working rotation speed of the mineral mill is selected to be too high, the outermost grinding medium is most easy to drop onto the cylinder liner plate, so that equipment is damaged, and the grinding efficiency is reduced; in the field of actual engineering, centrifugal motion of the outermost grinding medium is generally used as a judging method of the critical rotation speed of the mineral mill, and the result calculated by the traditional method can lead to a larger upper limit boundary of the working rotation speed of the mineral mill and lower selection precision of working parameters of the mineral mill; it is therefore extremely important to study the upper limit boundary of the operating speed of a more accurate mineral mill.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, and provides a subcritical rotating speed judging method of a mineral mill, which can effectively reduce the judging upper limit of the maximum working rotating speed of the mineral mill and improve the accuracy of judging the boundary of the working rotating speed upper limit of the mineral mill.
The technical scheme adopted by the invention is as follows:
a method for judging subcritical rotation speed of a mineral mill comprises the following specific steps:
step 1: establishing a mechanical structure mathematical model of the mineral mill based on geometric characteristics of the mineral mill;
step 2: carrying out theoretical analysis based on the motion characteristics of a grinding medium of a mineral mill;
step 3: solving the disengaging angle of the outermost layer grinding medium directly subjected to lifting action of the lining plate based on the step 1, the step 2 and the grinding medium motion differential equation；
Step 4: and (5) reversely solving the subcritical rotating speed of the mineral mill based on the proposed mathematical model.
Specifically, the specific steps for establishing the mechanical structure mathematical model of the mineral mill in the step 1 are as follows:
1a: the ore grinding medium is directly lifted by the lining plate and is atWhen the axial direction reaches the stress balance state,included angle between shaft and gravity direction of grinding medium：
；
1b: barrel center when ore grinding medium is lifted by lining boardOre grinding media centerIs connected with the line of (a)Included angle of axes：
；
1c: the ore grinding medium moves to the top point of the lining boardWhen, i.e. the centre of the grinding mediumPoint of attachmentAt the time of coincidence, at this timeTo the center of the cylinderDistance of (2)：
；
1d: maximum distance of movement of grinding medium on facing surface of lining plate：
；
1e: the ore grinding medium moves to the top point of the lining boardWhen, i.e. the centre of the grinding mediumPoint of attachmentWhen overlapping, the center of the cylinder bodySum pointIs connected with the line of (a)And (3) withIncluded angle of axes：
；
Wherein,the top width of the lining board is the top width of the lining board;is the radius of the grinding medium;is the facing angle of the lining board;the effective radius of the semi-autogenous mill cylinder body is the cylinder body radius minus the thickness of the lining board substrate;the height of the lining plate is the height from the upper plane of the cylinder lining plate to the upper part of the lining plate base plate;the shaft is the center of the overgrinding mediumAnd the axis is parallel to the material facing surface of the lining plate;for the angular velocity of the cylinder body,；gravitational acceleration.
In the step 2, theoretical analysis is performed based on the motion characteristics of a medium directly lifted by a lining plate, and the specific steps are as follows:
2a: based on the motion and stress characteristics of the grinding medium, establishing a coordinate system XOY by taking the center of the cylinder as a coordinate origin;
2b: the ore grinding medium is directly lifted by the lining plate and isBalance angle when axial direction reaches stress balance state：
；
2c: the ore grinding medium moves to the top point of the lining boardWhen, i.e. the centre of the grinding mediumPoint of attachmentWhen the materials are in a state of coincidence,included angle between shaft and gravity direction of grinding medium：
；
Wherein,for the ore grinding medium to lift from the lining plateThe axial force begins to move to the top point of the lining board when the axial force is balancedTime elapsed.
Specifically, the step 3 is characterized in that the disengaging angle of the grinding medium is directly lifted by the lining plateThe solving steps of (a) are as follows:
3a: the ore grinding medium is lifted from the lining plate to act onThe axial force begins to move to the top point of the lining board when the axial force is balancedIn this process, the displacement is time-dependentFunctional expression of (2)：
；
3b: during this process, the grinding medium is lifted from the lining plate and is in contact withThe axial force begins to move to the top point of the lining board when the axial force is balancedTime of elapsed time：
；
3c: based on the theoretical basis, solving the disengaging angle of the ore grinding medium directly subjected to lifting action of the lining plate：
。
Specifically, the mathematical model proposed in the step 4 solves the subcritical rotation speed of the mineral mill in an inverse manner, and the specific steps are as follows:
4a: when (when)When, i.eWhen the axis is parallel to the Y axis, it can be seen from 2c thatThe method comprises the following steps:
；
4b: and is obtained from 2b, 4aThe method comprises the steps of carrying out a first treatment on the surface of the Then substituting 1a into 3b to obtain the angular velocity of the cylinder of the mineral millThe method comprises the steps of carrying out a first treatment on the surface of the Further through unit transformation, the angular velocity is converted into the rotating speed, and the subcritical rotating speed of the mineral mill is obtained：
。
By adopting the technical scheme, the invention has the following advantages:
the invention takes the outermost grinding medium of the mineral mill which directly receives the lifting action of the cylinder liner plate as a research object, and carries out mathematical modeling on the mineral mill provided with the cylinder liner plate by using a geometric analysis method; performing kinematic analysis on the grinding medium based on a layered motion theory; based on the analysis and the differential equation of the motion of the grinding medium, the disengaging angle of the outermost grinding medium directly subjected to the lifting action of the lining plate can be obtainedThe method comprises the steps of carrying out a first treatment on the surface of the Reversely solving the subcritical rotation speed of the mineral mill based on the proposed mathematical model; simulating the motion trail of the grinding medium by a discrete element method, and verifying the accuracy of the established mathematical model; compared with the traditional judging method taking centrifugal motion of the grinding medium as the critical rotation speed, the judging method provided by the invention can effectively reduce the upper limit of the judgment of the maximum working rotation speed of the mineral mill, improve the accuracy of the boundary judgment of the upper limit of the working rotation speed of the mineral mill, and provide a new judging method for limiting the maximum working rotation speed of the mineral mill.
Drawings
Fig. 1 is a technical block diagram of the present invention.
Fig. 2 is a cross-section of a mineral mill bowl equipped with a liner according to an embodiment of the invention.
Fig. 3 is a schematic diagram of parameters related to movement of the grinding media along the liner according to an embodiment of the invention.
Fig. 4 is a schematic diagram of the movement state of each layer of medium of the mineral mill according to the embodiment of the invention.
FIG. 5 is a schematic diagram of a motion model of a medium directly lifted by a lining plate according to an embodiment of the invention.
FIG. 6 is a schematic diagram of a stress model when the motion of the outermost medium is balanced by lifting the liner plate directly according to the embodiment of the invention.
Fig. 7 is a schematic diagram of a motion state of an outermost medium t moment directly subjected to lifting action of a lining plate according to an embodiment of the present invention.
FIG. 8 is a schematic diagram of the movement of the outermost medium directly subjected to lifting action of the liner plate at subcritical rotation speed according to an embodiment of the present invention.
Fig. 9 is a diagram of simulation results of a grinding medium based on a discrete element method at a subcritical rotation speed under the condition that a face angle of a cylinder liner plate provided by the embodiment of the invention is changed.
Fig. 10 is a graph of simulation results of a discrete element-based grinding medium at a subcritical rotation speed under the condition that the height of a lifting bar of a barrel liner provided by the embodiment of the invention is changed.
Fig. 11 is a diagram of simulation results of a discrete element-based grinding medium at a subcritical rotation speed under the condition that the top width of a lifting strip of a barrel liner plate provided by the embodiment of the invention is changed.
Fig. 12 is a schematic diagram of the motion shown in fig. 8 calculated by a theoretical model provided by the embodiment of the present invention, and a comparison diagram of the gesture when a certain case is selected in fig. 9-11.
Detailed Description
The present invention is further explained below with reference to the drawings and examples, which are not to be construed as limiting the scope of the invention, and the purpose of the present invention is to protect all technical improvements within the scope of the invention.
The mineral mill is generally provided with a ball mill and a semi-autogenous mill, wherein the structure of a barrel lining plate of the ball mill is of a waveform structure which is common, and the structure of the barrel lining plate of the semi-autogenous mill is of a trapezoid structure which is common, so that the mineral mill provided with the barrel lining plate is convenient to carry out mathematical modeling, and the waveform structure barrel lining plate is simplified into a trapezoid lining plate with a similar appearance structure, as shown in figures 2 and 3;the working rotation speed of the mineral mill is set;the top width of the lining plate of the cylinder body is the top width;is the face angle of the lining plate of the cylinder;subtracting the thickness of the liner plate substrate of the cylinder for the effective radius of the cylinder, namely the radius of the cylinder;the height of the barrel lining plate is the height from the upper plane of the barrel lining plate to the upper part of the base plate of the barrel lining plate.
As shown in fig. 5, a coordinate system XOY is established with the center of the cylinder as the origin of coordinates; theoretical analysis is carried out on the grinding medium, the friction between the grinding medium and the cylinder lining plate is negligible, as shown in figure 6, when the rotation angular velocity of the cylinder of the mineral mill isWhen the radius isWhen the grinding medium moves to the position shown in fig. 6, the gravity and the centrifugal force of the grinding medium are applied toThe axial balance, namely:
（1）；
wherein,for centrifugal forces to which the grinding medium is subjected, i.e.The method comprises the steps of carrying out a first treatment on the surface of the Bringing it into formula (1) yields:included angle between shaft and gravity direction of grinding medium：
（2）。
Barrel center when ore grinding medium is lifted by lining boardOre grinding media centerIs connected with the line of (a)Included angle of axes；
The solving process of (1) is as follows:
inIn (C) due toThen；
Taking outThen；
Thereby obtaining；
InIn (1) to obtain，
I.e.；
And then obtain；
InIn taking out，
And then obtain:
；
due to，
And then obtain:
（3）。
based on the above theoretical analysis, mathematical modeling was performed on the structure of a mineral mill equipped with a barrel liner:
first, when the grinding medium moves to the apex of the lining plate, the grinding medium is centeredPoint of attachmentOverlapping; point(s)To the center of the cylinderDistance ofThe solving process of (1) is as follows:
due to，，In%In which the basic theorem of geometry of the plane of Euler-cosine theorem，
Obtaining:；
again with sine theoremObtaining:；
and is further composed ofAnd (2) andtherefore, in the middle of the dominant regionIn which the cosine theorem is used
Obtaining:
（4）。
secondly, the grinding medium moves at the material facing surface of the lining plate by the maximum distanceThe solving process of (1) is as follows:
when the grinding medium moves to the top point of the lining plate, the grinding medium is centeredPoint of attachmentThe two parts are overlapped together,
due to，Taking out，
InIn,
from the cosine theorem，
Obtaining:
（5）；
at this time, from the center point of the cylinderTo the point ofThe axis is perpendicular, and the foot is the pointIt is known that:，，，simultaneous standAndobtaining:i.e.Expressed as:
（6）；
to this end, mathematical modeling of the mechanical structure of the mineral mill equipped with the barrel liner was completed.
As shown in FIG. 6, the grinding medium is directly lifted by the lining plate and is thenBalance angle when axial direction reaches stress balance state：
（7）。
As shown in FIG. 7, according to the geometric relationship, the grinding medium moves to the apex of the lining plateWhen, i.e. the centre of the grinding mediumPoint of attachmentWhen the materials are in a state of coincidence,included angle between shaft and gravity direction of grinding medium：
（8）；
As shown in fig. 7, based on the geometric relationship, the disengaging angle of the ore grinding medium directly subjected to the lifting action of the lining plate is solved based on the theoretical basis：
（9）。
To the disengaging angle of the ore grinding medium directly acted by the lifting of the lining plateThe specific solving process of (1) is as follows:
as shown in FIG. 7, when the grinding medium is inAfter the stress in the axial direction is balanced, the lining plate starts to move along the material facing surface until the lining plate moves to the top point of the lining plateThe method comprises the steps of carrying out a first treatment on the surface of the In this process, assuming that a time t has elapsed, the grinding medium moves to a pointEstablishing a differential equation of motion of the grinding medium:
（10）；
wherein,is the center of the cylinder bodyOre grinding medium center at time tThe distance between the two points is chosen to be the same,is the center of the cylinder bodyOre grinding medium center at time tConnection of two pointsThe angle of the axes, and the boundary condition of formula (10) is:
，（11）。
as can be seen from fig. 7, andfrom the foregoing theoretical analysis, it is known that,for ore grinding medium to be lifted by the lining plateThe balance angle of stress balance in the axial direction relates to the working parameters of a mineral mill, the structural parameters of the mineral mill and the radius of a grinding mediumAnd a function of structural parameters of the barrel liner;is the center of the cylinder bodyOre grinding media centerIs connected with the line of (a)The included angle of the shaft is a function of the structural parameters of the mineral mill, the radius r of the grinding medium and the structural parameters of the liner plate of the cylinder; thus (2)、All independent of time t; wherein the working parameter of the mineral mill is the rotation angular velocityThe method comprises the steps of carrying out a first treatment on the surface of the The structural parameter of the mineral mill is the effective radius of the cylinderThe method comprises the steps of carrying out a first treatment on the surface of the The structural parameters of the cylinder lining plate are as follows: angle of attackHeight of trapezoid lining boardSum of top width。
For the center of the cylinderOre grinding medium center at time tDistance between two points：
Due toTaking out，Therefore, in the middle of the dominant regionIn which the cosine theorem is usedObtaining:
（12）；
wherein the method comprises the steps ofThe distance that the grinding medium moves on the feed surface of the barrel liner at time t is a function of time t.
For the center of the cylinderOre grinding medium center at time tConnection of two pointsIncluded angle of axes：
Due toThen；
InIn which the cosine theorem is used，
Obtaining:；
bringing formula (12) into the availability:
（13）；
taking equation (13) into equation (10), the differential equation of motion can be reduced to:
（14）；
obviously, when working parameters of a mineral mill, structural parameters of the mineral mill and radius of grinding mediaWhen the structural parameters of the cylinder liner plate are determined, the equation (14) is a second-order constant-coefficient non-homogeneous linear differential equation, and the boundary condition equation (11) and the equation (14) are combined to obtain the general solution of the second-order constant-coefficient non-homogeneous linear differential equation:
（15）；
the speed of the grinding medium moving along the material facing surface of the cylinder liner plate at the moment t can be obtained by deriving the (15):
（16）；
the ore grinding medium is lifted from the lining plate and is inThe axial force begins to move to the top point of the lining board when the axial force is balancedTime of going throughInterval (C)I.e. whenWhen solving for time：
（17）；
The ore grinding medium moves to the top point of the lining boardWhen, i.e. the centre of the grinding mediumPoint of attachmentWhen the materials are in a state of coincidence,included angle between shaft and gravity direction of grinding medium：
（18）；
Obtaining the disengaging angle of the grinding medium from the cylinder liner：
（19）。
When the operating speed of the mineral mill is relatively high, i.e. whenWhen, i.eWhen the axis is parallel to the Y-axis, as shown in FIG. 8, it can be seen from the formula (18)The method comprises the following steps:
（20）
further, from the formula (7):
（21）；
the combination of the two (2) and (17) can obtain the angular velocity at the momentThe implicit function expression of (2) is:
（22）；
the angular velocity of the mineral mill in this case is determined in a further-coupled manner (5)Further, through unit transformation, the angular velocity is converted into the rotating speed, and the subcritical rotating speed of the mineral mill is obtained：
（23）。
1. Example solution for subcritical rotation speed of mineral mill
Taking a mineral mill with the specification of phi 6.1 multiplied by 7.5m as an example, programming the mathematical theoretical model, and carrying out inverse solution on the subcritical rotation speed of the mineral mill. The relevant parameters of the standard mineral mill are shown in Table 1.
Table 1 mineral mill parameter table
| Parameter name | (symbol) | Value taking | Remarks |
| Radius of grinding medium | r | 50mm | |
| Effective radius of mineral mill | R | 2954mm | |
| Face angle of cylinder lining board | δ | 16°/24°/32°/40° | Lifting bar height h=200 mm lifting bar top width b=100 mm |
| Height of lifting strip of cylinder liner | H | 100mm/150mm/200mm/250mm | Head-on angle δ=32° lifting bar top width b=100 mm |
| Top width of lifting strip for cylinder liner | B | 50mm/100mm/150mm/200mm | Head-on angle δ=32° lifter height h=200mm |
Structural parameters of the cylinder liner: face angle of cylinder lining boardLifting bar height of cylinder linerAnd the top width of lifting strip of cylinder lining boardThe method comprises the steps of carrying out a first treatment on the surface of the Aiming at the description of the selection of multiple groups of structural parameters of the cylinder liner plate: because of more variable parameters and larger calculated amount, the embodiment adopts a single variable method to solve the subcritical rotation speed of the mineral mill, such as: when researching the influence of the face angle of the cylinder liner plate on the subcritical rotation speed of the mineral mill, keeping the height and the top width of the lifting bar unchanged; the same principle as the study on the height and top width of the lifting strip of the cylinder liner is shown in the remarks of table 1.
The mathematical theoretical model is programmed according to the information in table 1, and the subcritical rotation speed of the mineral mill is solved reversely, and the result is shown in table 2 in detail.
TABLE 2 results of inverse solution of subcritical rotation speed of mineral mill
2. Discrete element professional software EDEM simulation
Taking a mineral mill with the specification of phi 6.1 multiplied by 7.5m as an example, the filling rate is 30 percent, the discrete element simulation software EDEM is used for simulation and simulation verification, the rotating speed value is set according to the subcritical rotating speed calculation result in the table 2, and the simulation results of the EDEM are shown in fig. 9, 10 and 11 in detail.
By comparing the structural parameter data of the 1 st group, the 2 nd group and the 3 rd group barrel lining plates in fig. 9, 10, 11 and 2 respectively, the posture of the barrel lining plates when the grinding media are separated from the barrel lining plates under the corresponding subcritical and rotating speeds is shown in the track diagrams of the grinding media in fig. 9, 10 and 11, the analysis of the track diagrams is basically consistent with that of fig. 8, and then the critical rotating speeds of the standard mineral mill are calculated by the traditional method, so that the judging precision is improved by about 15 percent; regarding the posture of the grinding medium when the grinding medium is separated from the lining plate, the theoretical model provided by the invention is basically consistent with the discrete element method pair such as shown in fig. 12; through the analysis, compared with the traditional calculation method, the subcritical rotation speed judgment method of the mineral mill provided by the invention has higher accuracy and higher effectiveness.
Those of ordinary skill in the art will appreciate that: all or part of the steps for implementing the above method embodiments may be implemented by hardware associated with program instructions, and the above program may be stored in a computer-readable storage medium, which when executed, performs steps including the above method embodiments; and the aforementioned storage medium includes: various media that can store program code, such as ROM, RAM, magnetic or optical disks.
The invention is not described in detail in the prior art.
The embodiments selected herein for the purposes of disclosing the present invention are presently considered to be suitable, however, it is to be understood that the present invention is intended to include all such variations and modifications as fall within the spirit and scope of the present invention.
Claims (4)
1. A method for judging subcritical rotation speed of a mineral mill is characterized by comprising the following specific steps:
step 1: establishing a mechanical structure mathematical model of the mineral mill based on geometric characteristics of the mineral mill;
step 2: carrying out theoretical analysis based on the motion characteristics of a grinding medium of a mineral mill;
step 3: solving the disengaging angle of the outermost layer grinding medium directly subjected to lifting action of the lining plate based on the step 1, the step 2 and the grinding medium motion differential equation；
Step 4: and (5) reversely solving the subcritical rotating speed of the mineral mill based on the proposed mathematical model.
2. The mineral mill subcritical rotation speed determination method according to claim 1, wherein: the specific steps for establishing the mechanical structure mathematical model of the mineral mill in the step 1 are as follows:
1a: the ore grinding medium is directly lifted by the lining plate and is atWhen the axial direction reaches the stress balance state, the valve is opened or closed>The included angle between the shaft and the gravity direction of the grinding medium is +.>：
；
1b: barrel center when ore grinding medium is lifted by lining boardAnd grinding media center->Is connected with->Included angle of shaft->：
；
1c: the ore grinding medium moves to the top point of the lining boardAt the moment, i.e. grinding media center->And (4) point->At this point +.>To the center of the cylinder->Distance of->：
；
1d: maximum distance of movement of grinding medium on facing surface of lining plate：
；
1e: the ore grinding medium moves to the top point of the lining boardAt the moment, i.e. grinding media center->And (4) point->When the two parts are overlapped, the center of the cylinder body is->And (4) point->Is->And->Included angle of shaft->：
；
Wherein,the top width of the lining board is the top width of the lining board; />Is the radius of the grinding medium; />Is the facing angle of the lining board; />The effective radius of the semi-autogenous mill cylinder body is the cylinder body radius minus the thickness of the lining board substrate; />The height of the lining plate is the height from the upper plane of the cylinder lining plate to the upper part of the lining plate base plate; />The axis is the center of the ore grinding medium>And the axis is parallel to the material facing surface of the lining plate; />For the angular velocity of the cylinder> Gravitational acceleration;
in the step 2, theoretical analysis is performed based on the motion characteristics of a medium directly lifted by a lining plate, and the specific steps are as follows:
2a: based on the motion and stress characteristics of the grinding medium, establishing a coordinate system XOY by taking the center of the cylinder as a coordinate origin;
2b: the ore grinding medium is directly lifted by the lining plate and isBalance angle +.>：
；
2c: the ore grinding medium moves to the top point of the lining boardAt the moment, i.e. grinding media center->And (4) point->When coincident, the head is (are)>The included angle between the shaft and the gravity direction of the grinding medium is +.>：
；
Wherein,for the ore grinding medium to lift up from the lining plate and in +.>Starting to move to the top of the lining board when the stress in the axial direction is balanced>Time elapsed.
3. The mineral mill subcritical rotation speed determination method according to claim 2, wherein: the step 3 is characterized in that the disengaging angle of the ore grinding medium directly subjected to lifting action of the lining plateThe solving steps of (a) are as follows:
3a: the ore grinding medium is lifted from the lining plate to act onStarting to move to the top of the lining board when the stress in the axial direction is balanced>In this process, the displacement is +.>Functional expression +.>：
；
3b: during this process, the grinding medium is lifted from the lining plate and is in contact withStarting to move to the top of the lining board when the stress in the axial direction is balanced>Time of going through->：
；
3c: based on the theoretical basis, solving the disengaging angle of the ore grinding medium directly subjected to lifting action of the lining plate：
。
4. A mineral mill subcritical rotation speed determination method according to claim 3, wherein: the mathematical model proposed in the step 4 solves the subcritical rotation speed of the mineral mill in an inverse way, and the method comprises the following specific steps:
4a: when (when)When (i.e.)>When the axis is parallel to the Y-axis, 2c is aware of +.>The method comprises the following steps:
；
4b: and is obtained from 2b, 4aThe method comprises the steps of carrying out a first treatment on the surface of the Then substituting 1a into 3b to obtain the angular velocity of the cylinder of the mineral mill>The method comprises the steps of carrying out a first treatment on the surface of the Further, by unit conversion, that is, converting the angular velocity into the rotational speed, the subcritical rotational speed +.>：
。
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| CN202311720379.9A CN117407994B (en) | 2023-12-14 | 2023-12-14 | Subcritical rotation speed judging method of mineral mill |
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| JPH11147048A (en) * | 1997-11-18 | 1999-06-02 | Sekisui Chem Co Ltd | Apparatus for simulating motion of motion in crusher and apparatus for simulating quantity of energy for actuating crusher |
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| CN112197817A (en) * | 2020-12-01 | 2021-01-08 | 矿冶科技集团有限公司 | Method and device for measuring grinding state of grinding machine and electronic equipment |
| CN113901618A (en) * | 2021-11-23 | 2022-01-07 | 安徽铜冠（庐江）矿业有限公司 | Structural design method of lining plate for preventing steel balls and ore particles from being clamped by semi-automatic mill |
| CN116796492A (en) * | 2023-02-09 | 2023-09-22 | 昆明理工大学 | Method for determining shape and parameters of lining plate of ball mill |
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| JPH11147048A (en) * | 1997-11-18 | 1999-06-02 | Sekisui Chem Co Ltd | Apparatus for simulating motion of motion in crusher and apparatus for simulating quantity of energy for actuating crusher |
| CN106140448A (en) * | 2016-07-26 | 2016-11-23 | 宋瑞琪 | A kind of grinding machine optimum speed rate computational methods |
| CN112197817A (en) * | 2020-12-01 | 2021-01-08 | 矿冶科技集团有限公司 | Method and device for measuring grinding state of grinding machine and electronic equipment |
| CN113901618A (en) * | 2021-11-23 | 2022-01-07 | 安徽铜冠（庐江）矿业有限公司 | Structural design method of lining plate for preventing steel balls and ore particles from being clamped by semi-automatic mill |
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