CN109145383A - A method of semi-autogenous mill pack completeness is calculated based on liner plate quantity - Google Patents

A method of semi-autogenous mill pack completeness is calculated based on liner plate quantity Download PDF

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Publication number
CN109145383A
CN109145383A CN201810817829.9A CN201810817829A CN109145383A CN 109145383 A CN109145383 A CN 109145383A CN 201810817829 A CN201810817829 A CN 201810817829A CN 109145383 A CN109145383 A CN 109145383A
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China
Prior art keywords
semi
autogenous mill
pack completeness
liner plate
autogenous
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CN201810817829.9A
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Chinese (zh)
Inventor
代献仁
王周和
康怀斌
朱继生
邓禾淼
丁鹏
彭时忠
李树兰
闫德利
洪淦新
王珩
施金辉
郑超
万超
庞勃
张村
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Tongling Nonferrous Metals Group Co Ltd
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Tongling Nonferrous Metals Group Co Ltd
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Priority to CN201810817829.9A priority Critical patent/CN109145383A/en
Publication of CN109145383A publication Critical patent/CN109145383A/en
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    • 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
    • B02—CRUSHING, PULVERISING, OR DISINTEGRATING; PREPARATORY TREATMENT OF GRAIN FOR MILLING
    • B02C—CRUSHING, PULVERISING, OR DISINTEGRATING IN GENERAL; MILLING GRAIN
    • B02C17/00—Disintegrating by tumbling mills, i.e. mills having a container charged with the material to be disintegrated with or without special disintegrating members such as pebbles or balls
    • B02C17/10—Disintegrating by tumbling mills, i.e. mills having a container charged with the material to be disintegrated with or without special disintegrating members such as pebbles or balls with one or a few disintegrating members arranged in the container

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Geometry (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Food Science & Technology (AREA)
  • Crushing And Grinding (AREA)

Abstract

The invention discloses a kind of methods for calculating semi-autogenous mill pack completeness based on liner plate quantity, sequentially include the following steps: Step 1, shell liner quantity is appraised and decided: for the semi-autogenous mill of production run, it is known quantity that liner plate, which always organizes number P, in semi-autogenous mill static state, it can directly count and expose steel ball face above section shell liner group number M；The calculating of Step 2, semi-autogenous mill pack completeness: liner plate group number P, M value is substituted into pack completeness calculation formula to calculate the practical pack completeness of semi-autogenous mill.The beneficial effects of the invention are as follows overcome height or the biggish defect of chord length measurement error in previous experiences formula, semi-autogenous mill shell liner is only grasped in practical calculating process always to organize number and expose steel ball face above section shell liner group number, it is unrelated with Semi-Autogenous size, fast, simply with convenience of calculation, the features such as computational accuracy is high.

Description

A method of semi-autogenous mill pack completeness is calculated based on liner plate quantity
Technical field
The present invention relates to ore grinding technical field more particularly to a kind of sides that semi-autogenous mill pack completeness is calculated based on liner plate quantity Method.
Background technique
Ore mill is widely used in metallurgy, chemical industry, cement, ceramics, building, thermoelectricity and state as traditional milling equipment The departments such as anti-industry.Ore dressing department especially in metallurgical industry, grinding operation are even more to have highly important status.Grinding machine Pack completeness and rotational speed rate have codetermined the motion state of milling medium in grinding machine, directly influence the grinding efficiency of grinding machine, because This, the pack completeness of grinding machine is one of most important influence factor of grinding efficiency, very big to ore grinding influential effect, its not only direct shadow The size for ringing grinding machine processing capacity, also decides the size of ball mill power.Pack completeness of many scholars at home and abroad to ball mill Research was done, if Huang Can army establishes the arranged model of medium ball in vibrator, to derive the quality according to medium ball The calculating formula of calculation medium pack completeness, Kunming University of Science and Technology repair David and study a kind of globe mill medium pack completeness on-line checking side Method, Chen Ping Chen derive the calculation method of ball mill pack completeness with geometrical principle.
The formula for calculating grinding machine pack completeness at present has very much, as the ridge Bian Rong is mentioned at " Simple Calculating of Method of Medium Charge Ratio in Grinder " F.C Bond (Bond) approximate formula arrivedThe approximate formula that Chen Bingchen is proposed The approximate formula obtained using curve matching that Zheng Weide is mentioned in " calculating and measurement of ball mill steel ball filling rate " text: As ψ < 14%,As 14% < ψ < 31%,As ψ > 31% When,The common empirical equation for calculating pack completeness domestic at present hasWith
For another example Chinese invention patent publication number CN102228852B discloses ball mill steel ball pack completeness intelligent detecting method And device, ultrasonic wave position finder be for detect steel ball surface to ball mill center distance.PLC control system main function is Ball mill steel ball pack completeness is calculated and be shown to the distance b at ball mill center according to the steel ball surface measured, while this value It is compared with the standard value of setting；For another example Chinese invention patent publication number CN102589640B discloses the filling of large-size ball mill steel ball Rate detection device and detection method, including the upper horizon bar by being equipped with sliding slot, lower horizon bar connects horizon bar and lower level on this The Z-shaped measuring rod of the vertical rod composition of bar, is located at the fixed pulley I on vertical rod top, the fixed pulley II being located on lower horizon bar, with The sliding slot of upper horizon bar does the water level sensor being slidably connected, and one end is connected with this water level sensor, the other end is respectively and fixed The graduation mark that pulley I is connected with fixed pulley II, level meter, secondary instrument and the integrating instrument being sequentially arranged on lower horizon bar are horizontal Sensor is electrically connected with this secondary instrument, this secondary instrument is electrically connected with integrating instrument.Above two detection device and method are all to utilize Empirical equation above-mentioned carries out calculating mill steel ball pack completeness, exists and needs to measure in grinding machine milling medium surface to vertically Chord length L between the distance H or two, milling medium surface arm of ball mill barrel highest point, with the continuous hair of grinding machine enlargement The mature of exhibition, especially semi-autogenous mill uses, and method, measuring center supreme people's court, measurement are risen in such as measurement of traditional manual measurement method Chord length method, to determine diameter (radius) mensuration obviously inconvenient to use, is mainly manifested in first is that measure height higher, it has not been convenient to survey Amount, secondly, measurement error is larger, causes final calculation result and actual value difference larger, to influence the efficient of grinding operation Operation.
Summary of the invention
The technical problem to be solved by the present invention is to the existing theoretical formula for calculating pack completeness, that there are measurement errors is big, measurement Inconvenience provides a kind of method for calculating semi-autogenous mill pack completeness based on liner plate quantity thus.
The technical scheme is that a kind of method that semi-autogenous mill pack completeness is calculated based on liner plate quantity, by following step It is rapid to carry out:
Step 1, shell liner quantity are appraised and decided
For the semi-autogenous mill of production run, it is that known quantity can be counted directly in semi-autogenous mill static state that liner plate, which always organizes number P, Exposure tapping spherical surface above section shell liner group number M；
The calculating of Step 2, semi-autogenous mill pack completeness
Liner plate group number P, M value is substituted into pack completeness calculation formula:
Or
To calculate the practical pack completeness of semi-autogenous mill.
SIN function seeks the sine value of its angle value in formula described in above scheme (1).
SIN function seeks the sine value of its radian value in formula described in above scheme (2).
2M >=P described in above scheme.
Semi-Autogenous shell liner described in above scheme is the liner plate of same specification.
The beneficial effects of the invention are as follows overcoming in previous experiences formula height or the biggish defect of chord length measurement error, Semi-autogenous mill shell liner is only grasped in practical calculating process always to organize number and expose steel ball face above section shell liner group number, with Semi-Autogenous size is unrelated, has the features such as convenience of calculation is quick, simple, and computational accuracy is high.
Detailed description of the invention
Fig. 1 is the method flow diagram of the Semi-Autogenous pack completeness of determination of the invention；
Fig. 2 is semi-autogenous mill cylinder sectional schematic diagram in the present invention.
Specific embodiment
With reference to the accompanying drawing, technical scheme in the embodiment of the invention is clearly and completely described.Obviously, it is retouched The embodiment stated is only a part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, originally Field those of ordinary skill every other embodiment without making creative work, belongs to protection model of the invention It encloses.
As shown in Figure 1, 2, the present invention sequentially includes the following steps:
Step 1, shell liner quantity are appraised and decided
For the semi-autogenous mill of production run, it is that known quantity can be counted directly in semi-autogenous mill static state that liner plate, which always organizes number P, Exposure tapping spherical surface above section shell liner group number M；
The calculating of Step 2, semi-autogenous mill pack completeness
Liner plate group number P, M value is substituted into pack completeness calculation formula:
Or
To calculate the practical pack completeness of semi-autogenous mill.
No matter formula (1) or formula 2 are selected, and semi-autogenous mill pack completeness calculated result is identical.Technology of the invention Principle:
Grinding machine pack completeness refers to the percentage for accounting for ball mill effective volume in the volume of interior milling medium steel ball including gap, That is:
υ in formulaBallIt is the volume (m for including gap in interior milling medium steel ball3), υHaveFor ball mill effective volume (m3)。
Grinding machine is in static state, grinding machine pack completeness theoretical relationship are as follows:
S is grinding machine sectional area (m occupied by milling medium in static state in formula2), F is cylinder effective area (m2), l is Grinding mill barrel effective length.
Therefore, as long as calculating the pack completeness that sectional area S occupied by milling medium calculates ball mill, root According to mathematical knowledge it is found that sectional area S occupied by milling medium is that sectorial area subtracts triangle area, and triangle is highChord lengthThus sectional area occupied by milling medium can be derived:
Using can be obtained after trigonometric function relationship abbreviation:
Thus grinding machine pack completeness can be derived are as follows:
To avoid Traditional Method measurement ball mill milling medium surface to the distance b and mill of the central point of vertical ball mill barrel Chord length d bring error between two arms of mine dielectric surface, the present invention uses arc-length methods in calculating process, i.e., by grinding machine ore grinding The arc length L of part shared by medium1Corresponding central angle θ arc length L1And the replacement of semi-autogenous mill cylinder perimeter L, by mathematical knowledge It is found that θ and L1And there are following relational expressions by L, it may be assumed that
It is possible thereby to derive:
Pack completeness and arc length L can be obtained by carrying it into pack completeness calculation formula1And there is such as ShiShimonoseki in semi-autogenous mill cylinder perimeter L System:
Formula (3) is that filling rate theory shifts formula, L in above-mentioned each formula onto1Between the arm of two, milling medium surface Chord length (m), L are the effective perimeter (m) of grinding mill barrel, and θ is arc length L1Corresponding central angle (°).
Semi-autogenous mill shell liner is mounted on the inside of semi-autogenous mill cylinder, and the gap between adjacent liner plates is negligible not Meter, at this point, effective perimeter L of half grinding mill barrel and semi-autogenous mill shell liner are always organized between number P, there are following relationships, it may be assumed that
L=LC×P
LcFor the width of one piece of shell liner
Chord length L between the arm of two, milling medium surface1Exist such as with steel ball face above section shell liner group number M is exposed Lower relationship, i.e.,
L1=LC×(P-M)
This makes it possible to obtain semi-autogenous mill pack completeness calculation formula are as follows:
If central angle θ (°) is calculated (rad) by radian, similarly it can be inferred that semi-autogenous mill pack completeness theoretical calculation is public Formula are as follows:
The semi-autogenous mill pack completeness calculation formula then calculated by radian are as follows:
Embodiment 1: a method of Semi-Autogenous pack completeness being calculated based on liner plate quantity, the specific steps of the method are such as Under:
Step 1, shell liner quantity are appraised and decided
For the semi-autogenous mill of production run, it is that known quantity can be counted directly in semi-autogenous mill static state that liner plate, which always organizes number P, Exposure tapping spherical surface above section shell liner group number M.
The calculating of Step 2, semi-autogenous mill pack completeness
Liner plate group number P, M value is substituted into pack completeness calculation formula:
Wherein SIN function seeks the sine value of its angle value.
Since pack completeness is no more than 50%, if pack completeness is greater than 50%, grinding machine can spit ball, therefore 2M >=P in production.
The Semi-Autogenous shell liner is the liner plate of same specification.
Embodiment 2: as shown in Figure 1, a kind of method for calculating Semi-Autogenous pack completeness based on liner plate quantity, the tool of the method Steps are as follows for body:
Step 1, shell liner quantity are appraised and decided
For the semi-autogenous mill of production run, it is that known quantity can be counted directly in semi-autogenous mill static state that liner plate, which always organizes number P, Exposure tapping spherical surface above section shell liner group number M.
The calculating of Step 2, semi-autogenous mill pack completeness
Liner plate group number P, M value is substituted into pack completeness calculation formula:
Wherein SIN function seeks the sine value of its radian value.
2M >=the P.
The Semi-Autogenous shell liner is the liner plate of same specification.
Embodiment 3: as shown in Figure 1, a kind of method for calculating Semi-Autogenous pack completeness based on liner plate quantity, the tool of the method Steps are as follows for body:
Semi-autogenous mill specification: 8.53 × 3.96m of φ, shell liner group number: 56 groups.
Step 1, shell liner quantity are appraised and decided
For the semi-autogenous mill of production run, it is that known quantity can be counted directly in semi-autogenous mill static state that liner plate, which always organizes number P, Exposure tapping spherical surface above section shell liner group number M.
The calculating of Step 2, semi-autogenous mill pack completeness
Liner plate group number P, M value is substituted into pack completeness calculation formula:
Wherein SIN function seeks the sine value of its radian value.
2M >=the P.
The Semi-Autogenous shell liner is the liner plate of same specification.
According to expose steel ball face above section shell liner group number M number can calculate corresponding when semi-autogenous mill fill The size of rate, the result is shown in following tables.
Embodiment 4: as shown in Figure 1, a kind of method for calculating Semi-Autogenous pack completeness based on liner plate quantity, the tool of the method Steps are as follows for body:
Semi-autogenous mill specification: 10.37 × 5.15m of φ, shell liner group number: 66 groups.
Step 1, shell liner quantity are appraised and decided
For the semi-autogenous mill of production run, it is that known quantity can be counted directly in semi-autogenous mill static state that liner plate, which always organizes number P, Exposure tapping spherical surface above section shell liner group number M.
The calculating of Step 2, semi-autogenous mill pack completeness
Liner plate group number P, M value is substituted into pack completeness calculation formula:
Wherein SIN function seeks the sine value of its radian value.
2M >=the P.
The Semi-Autogenous shell liner is the liner plate of same specification.
According to expose steel ball face above section shell liner group number M number can calculate corresponding when semi-autogenous mill fill The size of rate, the result is shown in following tables.
With the enlargement development of semi-autogenous mill, semi-autogenous mill specification (diameter) is generally higher than 5m, needs when calculating pack completeness The steel ball surface to be measured to grinding machine apex height H often beyond 6m, even if measurement steel ball surface to grinding machine center point height, Value is also in 2m or more.Using traditional measurement height or arc length calculate pack completeness when, it is inconvenient on the one hand to measure, measurement error Greatly, the Semi-Autogenous bad determination in center when on the other hand measurement steel ball surface is to Semi-Autogenous center point height, and then increase measurement Error, error amount is up to 1~3 pack completeness.The present invention reduces measurement relative to traditional pack completeness empirical formula and misses Difference, calculating is more convenient, without measuring height H and chord length L, only needs number liner plate quantity once.

Claims (5)

1. a kind of method for calculating semi-autogenous mill pack completeness based on liner plate quantity, it is characterized in that sequentially including the following steps:
Step 1, shell liner quantity are appraised and decided
For the semi-autogenous mill of production run, it is that known quantity can directly count dew in semi-autogenous mill static state that liner plate, which always organizes number P, Tap spherical surface above section shell liner group number M；
The calculating of Step 2, semi-autogenous mill pack completeness
Liner plate group number P, M value is substituted into pack completeness calculation formula:
Or
To calculate the practical pack completeness of semi-autogenous mill.
2. the method for calculating semi-autogenous mill pack completeness based on liner plate quantity as described in claim 1, it is characterized in that the formula (1) SIN function seeks the sine value of its angle value in.
3. the method for calculating semi-autogenous mill pack completeness based on liner plate quantity as described in claim 1, it is characterized in that the formula (2) SIN function seeks the sine value of its radian value in.
4. the method that semi-autogenous mill pack completeness is calculated based on liner plate quantity as described in claim 1, it is characterized in that the 2M >= P。
5. the method for calculating semi-autogenous mill pack completeness based on liner plate quantity as described in claim 1, it is characterized in that described half from Grinding cylinder liner plate is the liner plate of same specification.
CN201810817829.9A 2018-07-24 2018-07-24 A method of semi-autogenous mill pack completeness is calculated based on liner plate quantity Pending CN109145383A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114273027A (en) * 2021-12-01 2022-04-05 铜陵有色金属集团铜冠建筑安装股份有限公司 Method for eliminating gap of magnetic lining plate of ball milling barrel

Citations (4)

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Publication number Priority date Publication date Assignee Title
CN103522016A (en) * 2013-10-17 2014-01-22 江苏星源电站冶金设备制造有限公司 Method for machining shell liner of shell in semi-autogenous mill
CN104897237A (en) * 2015-06-09 2015-09-09 攀钢集团矿业有限公司 Equipment for detecting filling rate of steel balls in ball mill
CN106140448A (en) * 2016-07-26 2016-11-23 宋瑞琪 A kind of grinding machine optimum speed rate computational methods
CN107626433A (en) * 2017-08-28 2018-01-26 铜陵有色金属集团股份有限公司冬瓜山铜矿 Method by controlling large-scale overflowball mill power to determine to add steel ball amount

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103522016A (en) * 2013-10-17 2014-01-22 江苏星源电站冶金设备制造有限公司 Method for machining shell liner of shell in semi-autogenous mill
CN104897237A (en) * 2015-06-09 2015-09-09 攀钢集团矿业有限公司 Equipment for detecting filling rate of steel balls in ball mill
CN106140448A (en) * 2016-07-26 2016-11-23 宋瑞琪 A kind of grinding machine optimum speed rate computational methods
CN107626433A (en) * 2017-08-28 2018-01-26 铜陵有色金属集团股份有限公司冬瓜山铜矿 Method by controlling large-scale overflowball mill power to determine to add steel ball amount

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Title
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114273027A (en) * 2021-12-01 2022-04-05 铜陵有色金属集团铜冠建筑安装股份有限公司 Method for eliminating gap of magnetic lining plate of ball milling barrel

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