CN106140448B - A kind of grinding machine optimum speed rate computational methods - Google Patents
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B02—CRUSHING, PULVERISING, OR DISINTEGRATING; PREPARATORY TREATMENT OF GRAIN FOR MILLING
- B02C—CRUSHING, PULVERISING, OR DISINTEGRATING IN GENERAL; MILLING GRAIN
- B02C25/00—Control arrangements specially adapted for crushing or disintegrating
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Abstract
A kind of grinding machine optimum speed rate computational methods being related to Mill Design field, the method uses and by the numerical computations at the angles θ in grinding mill barrel show that steel ball leaves the numerical value of angle a in cylinder, then will leave again the steepness of wave value C of waveform liner plate in angle a and grinding mill barrel numerical value substitution formula（90‑C）+ a ］/180, to which the optimum speed rate ω of grinding machine be calculated；The optimum speed rate of ball mill in practical applications can be calculated in the method, to achieve the purpose that effectively to reduce ball mill energy consumption while ensureing comminution efficiency.
Description
Technical field
The present invention relates to Mill Design fields, more particularly, to a kind of calculating for grinding machine optimum speed rate to be calculated
Method.
Background technology
In industrial circle, such as metallurgical mine, cement industry, since the granular size of raw material can not directly meet production
The requirement of technique, therefore be usually required for implementing the processes such as broken, grinding to raw material, especially for the Mineral Processing Enterprises of high energy consumption
For, either metal or nonmetal ore-dressing, Grinding procedure are all essential；However, due to the energy of Grinding procedure
Consumption occupies larger proportion in the energy consumption of whole process, is shown according to related statistics, 40~80% in mineral process
Energy consumption is all consumed in the comminution operation of ore, wherein power consumption of the whole world every year in comminution operation accounts for the whole world
The 3~4% of gross generation, and the annual generated energy in China is also all consumed there are about 5% on ore grinding, therefore how to ensure comminution effect
The energy consumption of grinding machine is effectively reduced while rate just becomes one of the project of those skilled in the art's emphasis research and development；
Well known, rotational speed rate is the core technology parameter of grinding machine, rationally whether, directly influence the fortune of material position in grinding machine
Dynamic state, and motion state influences whether the degree of pulverized the mill stripping and impact of material, therefore the rotational speed rate of grinding machine can
Whether energy-efficient directly identify grinding machine；Since those skilled in the art generally believe：Drum speed rate is improved to be conducive to carry
The efficiency of high ball mill, the reason for this is that：The hoisting depth of steel ball can be increased later by improving rotational speed rate, to accordingly increase steel
The impact velocity of ball, and then achieved the purpose that improve ball mill efficiency, therefore the rotating speed of the ball mill industrially used at present
Rate is 73~85%；However, by analyzing for a long time the rotational speed rate of existing ball mill, and according to ore grinding linear theory
It draws a conclusion with multiple experiment, for existing ball mill under 73~85% rotational speed rate, the movement locus of steel ball is unreasonable
, grinding efficiency cannot directly be improved by improving drum speed rate simply, and in contrast, rotational speed rate is suitably reduced instead
Its efficiency can be improved, i.e., the drum's speed of rotation rate obtained by existing computational methods is not that optimum is applied in practice,
It can not only cause to waste excessive energy consumption, but also can reduce the efficiency of ore grinding to a certain extent；
As it is known by the man skilled in the art that in the ball mill, the angle δ that steel ball deviates cylinder vertical center line can be with turning
The increase of rate ω and increase, i.e., there are certain correspondences between the two, simultaneously as will certainly in grinding process
There is falling sphere point when maximum impact speed there are a steel ball, and necessarily can also have one can be such that steel ball is fallen with maximum
The rotational speed rate of ball kinetic energy efficiency, therefore the certainty between the falling sphere point of ball mill and optimum speed rate how is found out by research
Association, and be used to it and just become the key point of determining ball mill truly optimum speed rate；However, to grind
Study carefully falling sphere point and its movement locus of the steel ball in cylinder, the key problem for first having to solve is exactly rotational speed rate ω and leaves angle a
Relationship, but so far, for inner wall smooth is without the grinding machine of steepness of wave, rotational speed rate ω and leaving is closed between a of angle
The representation of system has following several：
1, it is equal to zero with steel ball radial force for according to derived relational expression, i.e. ω=(sina)1/2, but this relational expression is deposited
In unreasonable place, first, when rotational speed rate ω is equal to zero, the angle a that leaves obtained is also equal to zero, the object characterized in this way
Reason meaning just becomes：When grinding machine is slack, steel ball can be in P points and will not fall off, this carrys out the grinding machine of inner wall smooth
It says, it is clear that be impossible；Secondly, it is calculated according to this relational expression, a≤2 in ω≤18.7%, this is also little real
's；In addition, being calculated according to the formula：When rotational speed rate ω be 84.1%, it is corresponding leave angle a be 45 degree when, steel ball have most favourable opposition
Hit speed, when rotational speed rate ω be 81.4%, it is corresponding leave angle a be 41.5 degree when, steel ball have maximum falling sphere energy utilized
Rate, but these data are not inconsistent with test data in lab completely；
2, in cylinder body bottom, it is equal to zero with the tangential stress of steel ball for according to derived relational expression, wherein steel ball is deviateing cylinder
When body vertical center line δ angles, tangential stress is gravity in tangential component mg × sin δ, the other is friction coefficient μ ×（mg
×cosδ+m×n2×r）, i.e. mg × sin δ=μ ×（mg×cosδ+m×n2×r）, and be derived there：ω=（sinδ-μ×cos
δ）/ μ ］1/2, friction coefficient μ is 0.38~0.01, and by taking μ is maximized 0.38 as an example, when δ is equal to 90 degree, ω is equal to 162%,
That is, rotating speed could be promoted steel ball to P points when must reach 1.62 times of critical speed, this is clearly not conform to convention；
3, it is exactly then to be subject to force analysis of the material in cylinder according to obtaining based on by above-mentioned two ways
Relational expression, or revised again based on this, still, since above two mode is referred to as nonlinear theory, and its
All there are unreasonable places, therefore are also all that there are unreasonable factors based on by its or according to the relational expression obtained
's；
In conclusion since there is some unreasonable defects in nonlinear theory, this just illustrates non-linear reason
By the relationship for being unable to accurate representation rotational speed rate and material deflecting angle in circular motion；But all due to each grinding machine manufacturer
It is to design mill speed rate according to nonlinear theory, i.e. the small mill speed rate of diameter is relatively higher, the big mill of diameter
Machine rotational speed rate is relatively lower, is all the requirement consideration from driving force is reduced and to material, therefore existing grinding machine is given birth to
Producer is produced all there is the defect in some designs, does not all find real optimum speed rate and falling sphere position.
Invention content
It is described the invention discloses a kind of grinding machine optimum speed rate computational methods in order to overcome the shortcomings of in background technology
Method the optimum speed rate of ball mill in practical applications can be calculated, to reach while ensureing comminution efficiency
Effectively reduce the purpose of ball mill energy consumption.
For achieving the above object, the present invention adopts the following technical scheme that：
A kind of grinding machine optimum speed rate computational methods, steps are as follows for method calculating：
Step 1: determining the best falling sphere point B of steel ball in grinding mill barrel, i.e. steel ball in conjunction with the working efficiency of existing grinding machine
Falling sphere point when with maximum impact speed, then calculates corresponding line segment and cylinder between falling sphere point B and body centre O
The angle that the vertical line at center is constituted, the i.e. numerical value at the angles θ；
Step 2: using the air line distance at outermost steel ball center in grinding mill barrel to body centre as radius r, in conjunction with θ
The numerical computations at angle go out steel ball rising in cylinder and throw point A, then calculate between this plays throwing point A and body centre O and correspond to again
Line segment and body centre the angle ∠ AOP that are constituted of horizontal line, that is, leave the numerical value of angle a；
Step 3: measuring the steepness of wave value C of waveform liner plate in grinding mill barrel, and by steepness of wave value C and leave angle a
Numerical value substitute into formula（90-C）+ a ］/180 optimum speed rate ω is calculated.
Further, the grinding machine is the ball mill that steel ball pack completeness is 30~40%.
Further, the angles θ are 13.66~24.68 degree.
Further, the angle a that leaves is 43.56~52.2 degree.
Further, the optimum speed rate ω is 63.5~72.4%.
Due to using technical solution as described above, the present invention to have the advantages that：
Grinding machine optimum speed rate computational methods of the present invention are to deviate the angle of grinding mill barrel vertical centre according to steel ball
It spends δ to increase with rotational speed rate ω and increase, and its fact that there are unique one-to-one relationships in the range of 0~180 degree,
It is initiated out in Mill Design field, mill speed rate ω and theory in a linear relationship steel ball deflecting angle δ, i.e.,：At the uniform velocity
During circular motion, the height that the steel ball in grinding mill barrel is elevated, only shape with the rotational speed rate and grinding machine inner wall of grinding machine
Related, unrelated with other, steel ball deviates the angles δ and increases with the increase of mill speed rate ω, and is linearly incremented by relationship, works as grinding machine
After rotating speed reaches critical speed, steel ball will act as uniform circular motion with grinding mill barrel one；Since the method can be counted
Calculation obtains the real optimum speed rate of ball mill, and can reach in the application optimum speed rate and ensure the same of comminution efficiency
When effectively reduce the energy consumption of ball mill, and pass through it is demonstrated experimentally that compared with the optimum speed rate of existing ball mill through most times
The optimum speed rate that the method is calculated can make 25% or more the driving power dropping of ball mill, grinding efficiency improve 33%
More than, therefore the method has great promotion and application value in Mill Design field.
Description of the drawings
Fig. 1 is movement locus schematic diagram of the steel ball in grinding mill barrel.
Specific implementation mode
The present invention can be explained in more detail by the following examples, the open purpose of the present invention is intended to the protection present invention
All changes and improvements in range, the invention is not limited in the following examples：
For the rotational speed rate for the ball mill for being 30~40% to calculate steel ball pack completeness, the grinding machine optimum speed rate meter
Calculation method is that the working efficiency first in conjunction with existing ball mill determines best falling sphere point B, and determines cylinder with this best falling sphere point B
The interior angles θ；The data obtained through many experiments calculate, and the angles θ are between 13.66~24.68 degree；Then again with ball mill barrel
The air line distance of interior outermost steel ball center to body centre is radius r, and the numerical computations at the angles θ is combined to obtain corresponding throwing
Angle of fall a；The data obtained through many experiments calculate, this leaves angle a between 43.56~52.2 degree；Finally, it measures and calculates
The steepness of wave value C of waveform liner plate in grinding mill barrel, i.e., when grinding machine is slack, in cylinder on the waveform liner plate of extreme lower position
Steel ball deviate body centre vertical line angle, if cylinder lining plate is the grinding machine of the smooth liner plate of no waveform, steepness of wave
Value C is equal to zero；After obtaining steepness of wave value C, by steepness of wave value C and leave angle a substitute into formula（90-C）+ a ］/180
Optimum speed rate ω is calculated, and determines the optimum speed of ball mill with this；The data obtained through many experiments calculate, steel
The rotational speed rate optimum speed rate ω for the ball mill that ball pack completeness is 30~40% is between 63.5~72.4%；
In conjunction with attached drawing 1, using the distance at outermost steel ball center in ball mill barrel to body centre as radius r, unit
For m, for the grinding machine that rotating speed n, unit are rad/s, the main movement track of outermost layer steel ball is as follows in cylinder：Steel ball from
The position for throwing point A is acted, subtracting the angle after leaving angle a by speed V to correspond to right angle makees upward inclined throw movements, wherein plays throwing
The angle ∠ AOP that the horizontal line of corresponding line segment and body centre is constituted between point A and body centre O are to leave angle a, and steel ball exists
Line intersection point A2, the line intersection point with the intersection of body centre horizontal line intersected by way of peak A1, with A point horizontal lines during leaving
A3 is eventually fallen on the falling sphere point B of cylinder, and corresponding line segment is vertical with body centre between falling sphere point B and body centre O
The angle that line is constituted is the angles θ, i.e.,：The critical speed N of grinding machineFace=(g/r)1/2, rotational speed rate ω=n/NFace×100%；Steel ball is rushed
The directional velocity of steel ball is set as V with the included angle value that body centre and center vertical line are constituted when hitting cylinderBθ, then grinding machine fall
Ball kinetic energy efficiency KLightWith VBθWith cosine value relationship, that is, K of the difference at the angles θLight=cos(VBθ-θ)；When steel ball is promoted to falling sphere
The energy m risen needed for the position for throwing point A with maximum impact speed ×（1/2×v2+ g × r × sina) it is radix 100%, it will
Other each rotational speed rates promote steel ball to the ratio of the energy risen needed for throwing point A therewith and are known as energy coefficient E needed for each throwing point, by steel
Ball possessed effective speed V at falling sphere point BB×KLightIt is known as with steel ball the ratio between energy coefficient E possessed by rising at throwing point A
Overall efficiency ηReason, and using the overall efficiency of maximum impact speed as radix 1, then ηReason=VB×KLight/（E×VBMAX×K0) × 100%,
Wherein, K0For the falling sphere kinetic energy efficiency with maximum impact speed；
The present invention determines according to linear theory and turns based on mill speed rate ω and steel ball deflecting angle δ are in a linear relationship
Rate ω can be expressed as with the relationship for leaving angle a：（90-C）+ a ］/180, since according to ore grinding linear theory, steel ball deviates
Relationship between the deflecting angle δ and rotational speed rate ω of cylinder vertical center line is：δ=180 × ω, and area is left in steel ball, deflecting angle
There is the relationships of δ=a+90 again with angle a is left by δ, therefore when grinding mill barrel interior lining panel liner plate smooth for no waveform, relational expression
（90+a）/ 180=ω is to set up；Meanwhile when grinding mill barrel interior lining panel is waveform liner plate, due to the waveform slope of waveform liner plate
The rotational speed rate that angle value C can make steel ball required when being thus lifted to same throwing drop point site decreases, therefore（90+a）/180=
Formd on the basis of ω（90-C）+ a ］/180=ω, wherein：The physical significance that the steepness of wave value C of waveform liner plate is characterized
It is when grinding machine is slack, when the angle for deviateing cylinder vertical center line is spent for C, steel ball will not fall off steel ball；
In conjunction with movement locus of the steel ball in grinding mill barrel, the grinding machine for being in this way 30~40% to steel ball pack completeness
Many experiments are carried out, result proves：For inner wall smooth is without the grinding machine of waveform liner plate：Make outermost layer steel ball in collision
Rotational speed rate with maximum impact speed is 76.6%；The rotational speed rate for making outermost layer steel ball that there is maximum falling sphere energy utilized system to lead
It is 74.2%, i.e., grinding machine has highest grinding efficiency under this rotational speed rate；And the waveform liner plate of the tool gradient is equipped with for inner wall
For grinding machine：When the steepness of wave value C of waveform liner plate is 21.8 degree, it is 52.22 degree to leave angle a, when rotational speed rate ω is 66.9%,
Outermost layer steel ball has maximum impact speed；It it is 48.08 degree when leaving angle a, when rotational speed rate ω is 64.6%, outermost layer steel ball is fallen
There is maximum kinetic energy efficiency when ball；In conjunction with actual conditions, due to maximum impact speed rotational speed rate with maximum
The rotational speed rate of falling sphere energy utilized coefficient is not consistent, therefore the rotational speed rate of the high efficiency energy-saving mill calculated through the method is suitable
Setting is between；Simultaneously as the influence of waveform liner plate, the kinetic energy efficiency of falling sphere is also changed, and value is suitable
In cosc times of smooth liner plate, and the motion locus of steel ball of each internal layer equally will appear the movement rail similar with outermost layer steel ball
Mark, only rotational speed rate reduce successively；
In addition, control grinding mill barrel radius is respectively the analysis of experimental data of 1.5m and 2m, since it is in different rotating speeds rate
Under average deviation be no more than 3/10000ths degree, therefore can assert that the gradient of angles θ and rotational speed rate, waveform liner plate has substantially
It closes, can be ignored with the relationship of barrel diameter；Meanwhile experimental data proves, ore grinding overall efficiency η can be with rotational speed rate
Increase and reduce, this explanation is with the increase of rotational speed rate, and the potential energy of steel ball is converted to the ability of kinetic energy in existing grinding mill barrel
It is in decrease, and when grinding machine calculated rotational speed rate operation in this way, driving kinetic energy can obtain good profit
With；Separately for use steepness of wave value be C waveform liner plate grinding machine for, influenced by liner plate, under same rotating speed rate, steel
The height that ball is elevated is than high under smooth liner plate, since it leaves the steepness of wave value C that angle a will increase waveform liner plate,
Therefore the movement locus of steel ball will also change, and position, speed and the directional velocity of falling sphere can all change therewith,
Wherein, smooth liner plate with waveform liner plate as follows with the rotational speed rate table of comparisons under same grinding efficiency：
Note：In conjunction with attached drawing 1, OA in upper table3For negative when, indicate steel ball do not cross body centre；VBθIndicate the speed of falling sphere
Direction；Always time of the steel ball used in from A points to B points is indicated with the time；
Ore grinding experiment is carried out using 240 × 90 taper grinding machines of φ in laboratory, the driving belt of grinding machine is tested by change
Wheel diameter requires to meet the different rotating speeds rate needed for experiment, i.e., carries out ore grinding to having a competition to same material under different rotating speeds rate
It tests, measures the power of its newly-generated -76 microns of content and consumption, testing program is as follows：
Scheme one, rotational speed rate 76.4% represent the rotational speed rate with maximum productivity；
Scheme two, rotational speed rate 67.7% represent steel ball and approach or in the rotational speed rate for rushing down the state of falling；
Scheme three, rotational speed rate 74.2%, representing falling sphere has the rotational speed rate of maximum kinetic energy utilization rate；
Scheme four, rotational speed rate 82.3% represent the conventional grinding machine minimum speed rate produced and used at present, are equivalent to wave
The steepness of wave value C of shape liner plate is equal to 21.8 degree, motion state when rotational speed rate is 73.1%, while it is also represented by rotating speed
Rate ω=(sina)1/2The optimum speed rate of result of calculation；
The result of above-mentioned testing program is as follows：
Note：Grinding machine overall efficiency η is the production capacity of unit volume and -76 microns of grades under specific energy consumption in upper table,
Data in table in the actual value bracket of η be calculated according to test data, and in energy expenditure actual value and table η reality
Data outside value bracket are using the data of rotational speed rate 76.4.% as 1 calculated relative value of radix；Wherein：Grinding machine synthesis effect
The weight of η=- 76 microns of rate（kg）/（6.25 × actual power consumption）；
From upper table it can be seen that：
The experimental data of scheme two in addition to production capacity and theoretical value quite coincide other than, energy expenditure is relatively high, grinds
Study carefully the result shows that：Under this rotational speed rate, the falling sphere point of steel ball fails to cross over cylinder vertical center line, i.e., steel ball may approach or
The state of falling is rushed down in presentation；Meanwhile it has also been found that there are cacophonias and motor overheating in its operational process in the experiment of scheme two
Phenomena such as, to find out its cause, being since its pulley diameters is smaller, belt contact is smaller, leads to belt slippage or because steel ball connects
It is close or present rush down the state of falling and caused by high energy consumption；And the test result of scheme four shows：Steel ball is in the case of high rotational speed rate
Could not only have maximum impact speed, and its also power consumption is big, grinding efficiency is low, i.e. ω=(sina) 1/2 cannot characterize steel ball
Rotational speed rate ω and the relationship for leaving angle a in cylinder；
In addition, above-mentioned test result shows the raising with rotational speed rate, energy consumption also accordingly increases, and grinding efficiency
Declining, such as：
Scheme one：Its rotational speed rate 76.4% and the rotational speed rate 76.6% of maximum impact speed are closest, with maximum life
Production capacity power, using the data of scheme one as radix, the grinding machine overall efficiency of scheme one is lower by 15% than the grinding machine overall efficiency of scheme three,
Higher by 14% than the grinding machine overall efficiency of scheme four, the production capacity of scheme one is higher by 9.05% than scheme four；
Scheme three：There is maximum falling sphere kinetic energy efficiency, grinding machine overall efficiency is also most when its rotational speed rate is 74.2%
It is high；Using the data of scheme one as radix, the energy unit consumption of scheme three is lower by 12.97% than the energy unit consumption of scheme one, the mill of scheme three
Machine overall efficiency is higher by 15% than the grinding machine overall efficiency of scheme one；Using the data of scheme four as radix, the energy unit consumption ratio of scheme three
The grinding machine overall efficiency of the energy unit consumption low 25.15% of scheme four, scheme three is higher by 33.66% than the grinding machine overall efficiency of scheme four；
Wherein, although when using the data of scheme four as radix, production capacity of the scheme four under high rotational speed rate is than scheme three best
Production capacity under rotational speed rate is higher by 2.84%, and still, this is that scheme more than four takes 25.15% power consumption and brought for cost
, therefore it is also worthless；
In addition, scheme four, when being run with higher rotation speed rate, the part steel ball of internal layer also can be at or approximately at preferable
Motion state, thus can the production capacity brought because rotational speed rate is higher of part offset outer layer steel ball and grinding machine overall efficiency
Decline, however, the production capacity and grinding machine overall efficiency of scheme four be also substantially less than scheme one production capacity and
Grinding machine overall efficiency, using the data of scheme one as radix, the production capacity lower than the production capacity of scheme one 9.05% of scheme four,
The grinding machine overall efficiency of scheme four is lower by 14% than the grinding machine overall efficiency of scheme one；Using the data of scheme four as radix, scheme four
Grinding machine overall efficiency is lower by 33.66% than the grinding machine overall efficiency of scheme three；
In summary：Rotational speed rate in scheme three be grinding machine ore grinding most efficiently and most energy-efficient rotational speed rate；In addition, by right
Steel ball researching and analysing for the characteristics of motion in cylinder is able to verify that, as long as according to effective internal diameter of grinding mill barrel, according to the method
Result of calculation the rotational speed rate of grinding machine is adjusted to 63.5~72.4%, that is, change core technology parameter --- the rotational speed rate of grinding machine,
The rotational speed rate of grinding machine is adjusted to 63.5~72.4%, be then able to reach make full use of kinetic energy and improve grinding machine overall efficiency
Purpose, to manufacture out energy-efficient grinding machine；For the manufacturer of existing grinding machine, pass through adjusting
The gear ratio of large and small gear or the rotating speed of direct regulation motor can complete the adjustment operation of rotational speed rate, and for existing
Grinding machine using for producer, can be made to implement adjustment by reducing the number of teeth of pinion gear or changing the gradient of waveform liner plate
Industry, such as：It is 23 by the original number of teeth in the case where disclosure satisfy that gear mechanism intensity for 3200 × 4500 grinding machines
Pinion gear be adjusted to the number of teeth be 20 or 21 pinion gear, adjustment after corresponding rotational speed rate just be 68.99~65.7%, to
The calculated rotational speed rate requirement of the method is met；
In actual field in application, to originate effective diameter as 3.01 meters, pack completeness is 40~42%, the waveform lining used
For 3200 × 4500 grinding machines that the steepness of wave value of plate is 21.8 degree, when it runs the rotational speed rate that existing method calculates,
Rotating speed is 18.466r/min, and the rotational speed rate of outermost layer steel ball is 75.56%, and the angles θ in the grinding mill barrel are 60 degree or so, this
When, the noise of grinding machine is the strongest；When the grinding machine runs the method, that is, pass through formula（90-C）+ a ］/180 calculated turns
When rate, θ angle of the grinding machine in cylinder is maximum noise state when being 57 degree or so, the on-site noise direction of this and existing grinding machine
It is almost the same；By steel ball most strong side of noise in falling sphere in the test data in laboratory and 3200 × 4500 grinding mill barrels
It is proved in conjunction with post analysis, the formula in the method：（90-C）+ a ］/180 steel ball can be characterized in grinding mill barrel
Rotational speed rate and the relationship for leaving angle.
Part not in the detailed description of the invention is the prior art, therefore the present invention is not described in detail.
Claims (4)
1. a kind of grinding machine optimum speed rate computational methods, it is characterized in that：Steps are as follows for the method calculating：
Step 1: determining the best falling sphere point B of steel ball in grinding mill barrel in conjunction with the working efficiency of existing grinding machine, i.e. steel ball has
Falling sphere point when maximum impact speed, then calculates corresponding line segment and body centre between falling sphere point B and body centre O
The angle that is constituted of vertical line, i.e. the numerical value at the angles θ；
Step 2: using the air line distance at outermost steel ball center in grinding mill barrel to body centre as radius r, in conjunction with the angles θ
Numerical computations go out steel ball rising in cylinder and throw point A, then calculate this again and play corresponding line between throwing point A and body centre O
The angle ∠ AOP that the horizontal line of section and body centre is constituted, that is, leave the numerical value of angle a；
Step 3: measure the steepness of wave value C of waveform liner plate in grinding mill barrel, and by steepness of wave value C and the number for leaving angle a
Value substitution formula（90-C）+ a ］/180 optimum speed rate ω is calculated；
The grinding machine used in above-mentioned steps is the ball mill that steel ball pack completeness is 30~40%.
2. grinding machine optimum speed rate computational methods according to claim 1, it is characterized in that：The angles θ be 13.66~
24.68 degree.
3. grinding machine optimum speed rate computational methods according to claim 1, it is characterized in that：The angle a that leaves is 43.56
~52.2 degree.
4. grinding machine optimum speed rate computational methods according to claim 1, it is characterized in that：The optimum speed rate ω is
63.5~72.4%.
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| CN109145383A (en) * | 2018-07-24 | 2019-01-04 | 铜陵有色金属集团股份有限公司 | A method of semi-autogenous mill pack completeness is calculated based on liner plate quantity |
| CN109201221B (en) * | 2018-09-18 | 2020-06-16 | 中冶沈勘工程技术有限公司 | Ball mill rotation speed control method based on steel ball crushing effect in ball mill |
| CN117407994B (en) * | 2023-12-14 | 2024-03-05 | 中信重工机械股份有限公司 | Subcritical rotation speed judging method of mineral mill |
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| CN1745900A (en) * | 2005-10-14 | 2006-03-15 | 唐慧光 | Method for improving efficiency, saving energy and lowering consumption of wetting intermitten ball mill |
| CN101036901A (en) * | 2007-03-30 | 2007-09-19 | 昆明理工大学 | Accurate method for improving production and saving energy by combining ball lLoad and addition in mill and forward leading of energy consumption |
| CN104657605A (en) * | 2014-12-09 | 2015-05-27 | 鞍钢集团矿业公司 | Ball mill power calculation method |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| FI115854B (en) * | 2003-01-17 | 2005-07-29 | Outokumpu Oy | Procedure for determining the degree of filling of the mill |
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Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1745900A (en) * | 2005-10-14 | 2006-03-15 | 唐慧光 | Method for improving efficiency, saving energy and lowering consumption of wetting intermitten ball mill |
| CN101036901A (en) * | 2007-03-30 | 2007-09-19 | 昆明理工大学 | Accurate method for improving production and saving energy by combining ball lLoad and addition in mill and forward leading of energy consumption |
| CN104657605A (en) * | 2014-12-09 | 2015-05-27 | 鞍钢集团矿业公司 | Ball mill power calculation method |
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