CN1546237A - Ball grinder accurate ball loading method - Google Patents
Ball grinder accurate ball loading method Download PDFInfo
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- CN1546237A CN1546237A CNA2003101111450A CN200310111145A CN1546237A CN 1546237 A CN1546237 A CN 1546237A CN A2003101111450 A CNA2003101111450 A CN A2003101111450A CN 200310111145 A CN200310111145 A CN 200310111145A CN 1546237 A CN1546237 A CN 1546237A
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- 238000011068 loading method Methods 0.000 title claims description 11
- 238000000227 grinding Methods 0.000 claims abstract description 77
- 239000002245 particle Substances 0.000 claims abstract description 35
- 238000000034 method Methods 0.000 claims abstract description 33
- 229910000831 Steel Inorganic materials 0.000 claims description 25
- 239000010959 steel Substances 0.000 claims description 25
- 240000002853 Nelumbo nucifera Species 0.000 claims description 20
- 235000006508 Nelumbo nucifera Nutrition 0.000 claims description 20
- 235000006510 Nelumbo pentapetala Nutrition 0.000 claims description 20
- 239000004576 sand Substances 0.000 claims description 15
- 238000002360 preparation method Methods 0.000 claims description 12
- 230000001186 cumulative effect Effects 0.000 claims description 11
- 230000006835 compression Effects 0.000 claims description 8
- 238000007906 compression Methods 0.000 claims description 8
- 239000000203 mixture Substances 0.000 claims description 8
- 230000001788 irregular Effects 0.000 claims description 6
- 239000004575 stone Substances 0.000 claims description 4
- 238000004458 analytical method Methods 0.000 claims description 3
- 239000008187 granular material Substances 0.000 claims description 3
- 238000006243 chemical reaction Methods 0.000 claims description 2
- 238000005516 engineering process Methods 0.000 abstract description 3
- 239000003973 paint Substances 0.000 abstract 1
- 238000010298 pulverizing process Methods 0.000 abstract 1
- 235000019580 granularity Nutrition 0.000 description 11
- 229910052500 inorganic mineral Inorganic materials 0.000 description 9
- 239000011707 mineral Substances 0.000 description 9
- 239000000047 product Substances 0.000 description 7
- 238000004519 manufacturing process Methods 0.000 description 6
- 238000003801 milling Methods 0.000 description 5
- 238000011084 recovery Methods 0.000 description 5
- RYGMFSIKBFXOCR-UHFFFAOYSA-N Copper Chemical compound [Cu] RYGMFSIKBFXOCR-UHFFFAOYSA-N 0.000 description 4
- PXHVJJICTQNCMI-UHFFFAOYSA-N Nickel Chemical compound [Ni] PXHVJJICTQNCMI-UHFFFAOYSA-N 0.000 description 4
- 229910052802 copper Inorganic materials 0.000 description 4
- 239000010949 copper Substances 0.000 description 4
- 238000012937 correction Methods 0.000 description 4
- 230000000694 effects Effects 0.000 description 4
- 239000012141 concentrate Substances 0.000 description 3
- 239000000463 material Substances 0.000 description 3
- 238000012360 testing method Methods 0.000 description 3
- 239000011324 bead Substances 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 2
- 238000004364 calculation method Methods 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 230000003203 everyday effect Effects 0.000 description 2
- 239000012467 final product Substances 0.000 description 2
- 238000013467 fragmentation Methods 0.000 description 2
- 238000006062 fragmentation reaction Methods 0.000 description 2
- 238000005304 joining Methods 0.000 description 2
- 229910052759 nickel Inorganic materials 0.000 description 2
- 238000006068 polycondensation reaction Methods 0.000 description 2
- 238000003825 pressing Methods 0.000 description 2
- 238000011160 research Methods 0.000 description 2
- 238000007873 sieving Methods 0.000 description 2
- 229910000570 Cupronickel Inorganic materials 0.000 description 1
- 241000196324 Embryophyta Species 0.000 description 1
- 238000000498 ball milling Methods 0.000 description 1
- YOCUPQPZWBBYIX-UHFFFAOYSA-N copper nickel Chemical compound [Ni].[Cu] YOCUPQPZWBBYIX-UHFFFAOYSA-N 0.000 description 1
- 230000007423 decrease Effects 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000009795 derivation Methods 0.000 description 1
- 238000002474 experimental method Methods 0.000 description 1
- 238000003701 mechanical milling Methods 0.000 description 1
- 238000012545 processing Methods 0.000 description 1
- 238000010010 raising Methods 0.000 description 1
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Abstract
The invention is a method for ball mill to recuperate balls precisely, which belongs to ore pulverizing, grinding technology field. The method includes: measures the mechanical parameter of ore; sifts and analyzes the mill ore and back sands, calculates the ore particle components and groups them; calculates the particle radius value according to ball radius haft theory formula; determines the ball ratio of the mill according to the ore particle and the needed ball radius; paints the ball particle accumulating curve, thus acquires the radius and recuperating ratio precisely. The proportion is reasonable, the method is simple, the productivity is upgraded greatly, and the quality is improved.
Description
One, technical field: ore is pulverized, levigate technical field
Two, background technology
The grinding process of ball mill is one of the most complicated operation in ore dressing plant, and variable influence factor is a lot, and intricate, makes the many problems in the ore grinding be difficult to solve.Determining of sphere diameter is accurately very difficult, and existing sphere diameter formula all is empirical equations, and the sphere diameter error of calculating is big.The proportioning of various sizes ball does not have good way yet.Therefore, be that other sphere diameter of single-stage or the average diameter of whole ball lotus all are difficult to realize precision in the grinding machine, also just be difficult to the grinding efficiency that obtains.
The method of loading and adding ball research of ball mill is all paid attention in ore dressing circle both at home and abroad.On the determining of sphere diameter, just did many researchs.Be the proportional relationship of directly seeking the first power of sphere diameter B and feed preparation unit size d at first, attempt is determined sphere diameter with the simplest method.Find later on that but investigated more than 50 grinding machine in the relational expression of sphere diameter B=Kd, proportionality coefficient K=2.5～130 can't be used at all.Since thought afterwards that sphere diameter B did not become the first power relation with giving ore particle footpath d, may become the 1/n power to concern, and the factor that will not consider revise with a coefficient k, i.e. B=kd
1/n, Davis's formula, La Sumofu formula all belong to this class up to list moral simple formula.But equal error was bigger when this type of empirical equation was calculated sphere diameter, and only error is less in some particle size range.Former Soviet Union row Paderewski difficult to understand increases the product granularity d that has considered grinding machine again
k,
Error is still big, and is inapplicable.At last, people recognize, for the numerous grinding process of influence factor, only consider that the inevitable error of one, two influence factor is bigger.Therefore, European and American countries has generally adopted the sphere diameter empirical equation of considering five, six influence factors in recent years.Be typically the sphere diameter formula of Allis-Chalmers company:
And the sphere diameter formula of Xnord company:
In the formula:
B-required steel ball size inch
F-80% granularity μ the m that sieves
K
m-correction factor
S-ore density t/m
3
C-mill speed rate %
W-treat ore grinding stone work index kwh/t
D-grinding machine interior diameter ft
These two experience sphere diameter formula have been caught five key factors and have been added correction factor, and some factors get with theoretical the derivation, and result of calculation is more accurate than those experience sphere diameter formula of considering one, two influence factor of front.But it is very inconvenient that these two formula are used in China, and China's factories and miness have only the Polodyakonov coefficient coefficient f of ore more, and idle index W data; Feed preparation unit size F in the formula all usefulness be 80% granularity of sieving, China selects factory how with 95% granularity of sieving; And, the correction factor K in the formula
mGrinding machine in large diameter sums up down abroad.China's mill diameter is generally less, K
mIt is suitable to lose.With the sphere diameter of these two experience sphere diameter formula calculating mineral processing in China factory grinding machines, the one, inconvenient, the 2nd, error is still bigger.Given this, 89 years the applicant derive first sphere diameter half theoretical formula in conjunction with China's national situation with the Crushing Mechanics theory:
In the formula:
B-required steel ball size cm
Ψ-mill speed rate %
The ultimate compressive strength kg/cm of σ-ore
2
ρ
0The effective density g/cm of-steel ball in ore pulp
3
D
0-ball lotus " contracting and collect layer in the centre " diameter cm
d
m-95% maximum particle size cm that sieves
K
cThe comprehensive correction factor of-other influence factor, its value are different and different with the feed preparation unit size thickness.Contrast is calculated and evidence, and this sphere diameter half theoretical formula is all more accurate than domestic and international sphere diameter empirical equation.
On the proportioning of various balls, almost all be definite by rule of thumb both at home and abroad.And the method that the former Soviet Union adopts in " rationally balance dress ball method " science relatively, it treats that to ore deposit (newly adding sand return to the ore deposit) the abrasive particle degree forms to determine the ball ratio entirely according to grinding machine.The applicant thinks that mechanical milling process is a random process, and the method for applied statistics solves the problem of ball ratio, therefore proposes broken statistical mechanics principle, with the collocation of broken statistical mechanics guidance of principle ball.
Three, summary of the invention
1, goal of the invention: the objective of the invention is, it is accurate and add method of loading and adding ball easily to require to propose a kind of sphere diameter according to the purpose of ore grinding, it is accurate method for ball load and addition, with replace existing factory produce in the bad experience method of loading and adding ball of effect and sphere diameter calculate neither accurate, " the balance tip-in method rationally " that method itself is complicated again.
2, technical scheme: the present invention realizes according to the following step:
(1) at the uniaxial compressive strength σ (kg/cm that treats ore grinding stone mensuration ore
2) and the compression strength σ of irregular nugget
0(kg/cm
2) and elastic modelling quantity and the Poisson's ratio of measuring ore, for sphere diameter determine and the ball ratio determine to provide foundation.
(2) grinding machine is newly carried out screen analysis respectively to ore deposit and these two kinds of materials of sand return, convert newly to ore deposit and sand return than numerical value by sand return then, and merge to such an extent that full feed preparation unit size is formed, conversion did not determine to wait to grind full feed preparation unit size composition after deduction did not need levigate thin rank again.At last, will treat that mill is divided into 4～6 groups to the ore deposit by granule size entirely.
(3) according to the σ or the σ of ore
0Reach the upper limit size of respectively organizing ore particle, and the condition of work of grinding machine and known parameter, respectively organize the sphere diameter value that ore particle needs with the calculating of sphere diameter half theoretical formula.To the middle-size and small-size grinding machine of diameter less than 2.7 meters, the lifting height of ball is little during the grinding machine rotation, and for guaranteeing enough crushing forces, the sphere diameter that needs is big, adopts the resistance to compression value σ of irregular nugget
0Calculate exact value, to the big grinding machine of diameter greater than 2.7 meters, the lifting height of ball is big, and the sphere diameter that needs is little, adopts the resistance to compression value σ of standard specimen to calculate exact value.
(4) respectively organize the productive rate of ore particle and required sphere diameter to the ore deposit and determine that grinding machine just adorns the ball ratio of ball by waiting to grind entirely: all need levigately as each group ore particle, the productive rate that then makes every kind of steel ball is suitable with the productive rate of its suitable levigate ore particle group; Strengthen the levigate of which group ore particle as needs, just increase the ratio of the steel ball of these group ore particle needs; Strengthen the more coarsely graded levigate ratio of just adding the large scale steel ball as needs; Strengthen the more fine-graded levigate ratio of just adding the small size steel ball as needs, that is to say with broken statistical mechanics guidance of principle and join ball.
(5) calculate the grinding machine of allotting and just adorn ball, can directly in industrial mill, verify its reasonability and accuracy, can verify its reasonability and accuracy at breadboard big grinding machine the grinding machine of diameter more than 2.7 meters to the grinding machine of diameter below 2.7 meters.First dress ball after the checking directly enters commercial Application.
(6) drawing the positive cumulative property curves of ball lotus granularity that grinding machine is just adorned ball, is benchmark with the positive cumulative property curves of ball lotus granularity of first dress ball, determines the positive cumulative property curves of ball lotus behind the adding ball with drawing method, draws the ratio of various adding balls according to this curve.The theoretical foundation of graphing method is: various balls all are worn in the ore grinding, the impact wear of big ball is big but grinding loss is little, the impact wear of bead is little but grinding loss is big, can think that the rate of wear of big ball and bead is suitable, therefore, with the ball lotus curve of just adorning ball parallel to left down move get final product the ball lotus curve after the wearing and tearing, and to upper right parallel move get final product the ball lotus curve of adding ball.As adding of ball, simple when adding a kind of big ball separately, but can form big ball phenomenon on the high side in the grinding machine, unfavorable to ore grinding; Add five, grinding machine endosphere lotus characteristic is good during six kind of ball, but production management complexity.The present invention overcomes the defect of above-mentioned two kinds of replenishment methods guaranteeing only to add 2～3 kinds of balls under the accurate prerequisite of sphere diameter.
3, compare advantage and the good effect that has with known technology
(1) sphere diameter is accurate, The present invention be directed to the condition of work of the mechanical strength and the grinding machine of particular ore, obtain to be fit to needed sphere diameter under this condition, so sphere diameter selects accurately, and it is scientific and reasonable to join ball.
(2) method is simple, is convenient to use.Adopt this law dress ball and tip-in once to calculate and finish, shorten the industrial experiment cycle, simplify the program of applying.
(3) effect is remarkable, because sphere diameter is accurate, reasonable mixture ratio improves mill hourly output, and Grinding producation quality improves, and power consumption ball consumption descends.The ore milling product liberation degree of minerals improves, and recovery rate in ore-dressing and concentrate grade are increased.Can improve 10～15% for middle hard ore and soft mineral mill machine throughput, the ball consumption descends 10～20%, and power consumption descends 3～5%, and liberation degree of minerals improves about 5 percentage points, and the rate of recovery improves 1～3 percentage point, and concentrate grade also can improve.
Four, description of drawings
Fig. 1 is the positive cumulative property curves of ball lotus of the dress tip-in of embodiment one, and Fig. 2 is the positive cumulative property curves of ball lotus of the dress tip-in of embodiment two, the 1st, just adorn the ball curve; The 2nd, the adding ball curve; The 3rd, wearing and tearing back curve.
Five, the specific embodiment
Embodiment one. and Yunnan copper nickel selects factory, scale 300 ton per days, adopting two diameter * length is that 1.5 * 3.0 meters grate ball mills divide two series to carry out primary grinding.It is unreasonable to adorn tip-in in the production, and sphere diameter is bigger than normal, causes the ore milling product fineness not enough, and sorting index is not high, and the ball consumption is high.This factory's grinding machine is implemented accurate loading and adding balls, and specific procedure is as follows:
(1) measures ore standard mechanics test specimen uniaxial compressive strength σ=502.9kg/cm with the lump ore sample of this factory
2, the compression strength σ of irregular nugget
0=206.1kg/cm
2, ore elastic modelling quantity 7.36 * 10
5Kg/cm
2, Poisson's ratio 0.341.The explanation of ore mechanical property, ore belongs to soft mineral (f=5.03), has certain toughness and morphotropism, and during to this kind ore ore grinding, impact and grinding should take into account.
(2) get grinding machine and newly do screen analysis to ore deposit and sand return, the sand return ratio is 250%, gives ore deposit=newly give ore deposit 100%+ sand return 250%=350% entirely, promptly newly accounts for full 1/3.5 of the ore deposit of giving to the mineral products rate, and the sand return productive rate accounts for the full 2.5/3.5=0.714 that gives the ore deposit.Therefore, be γ as new productive rate to the ore deposit
m, newly giving the ore deposit is γ giving the productive rate in the ore deposit entirely
1=γ
m/ 3.5; Productive rate as sand return is γ
n, sand return is γ giving the productive rate that accounts in the ore deposit entirely
2=(γ
n/ 3.5) * 2.5.Like this, γ
1+ γ
2=γ
3Be full granularmetric composition of giving the ore deposit.Giving in the ore deposit complete, is 10% less than 0.1mm rank productive rate, and this part ore particle does not need to regrind, and this part does not need to consider again when selecting ball and joining ball, so be 90% to needing levigate total inventory in the ore deposit entirely.If, then can convert out each rank and account for the productive rate γ that treats grind materials 90% to be whole materials
4, i.e. γ
4=γ
3÷ 90% (each level calculation), γ
4Wait to grind full granularmetric composition of giving the ore deposit exactly.To treat that mill is divided into 24～15,15～10,10～5,5～0.1 4 groups to the ore deposit entirely, specifically as table 1:
Table 1: embodiment one mill feed granularmetric composition and grouping situation
| Rank (mm) | ??γ 1(％) | ??γ 2(％) | ??γ 3(％) | ??γ 4(％) | Grouping reaches respectively organizes productive rate |
| ??24～20 | ??1.48 | ??0.00 | ??1.48 | ??1.64 | 1. ∑ 9.67 gets 10.00 |
| ??20～15 | ??5.89 | ??1.34 | ??7.23 | ??8.03 | |
| ??15～12 | ??6.44 | ??15.82 | ??22.26 | ??24.75 | 2. ∑ 45.49 gets 45.00 |
| ??12～10 | ??5.35 | ??13.32 | ??18.67 | ??20.74 | |
| ??10～7 | ??3.41 | ??9.23 | ??12.64 | ??14.04 | 3. ∑ 24.51 gets 25.00 |
| ??7～5 | ??2.25 | ??7.17 | ??9.42 | ??10.47 | |
| ??5～1 | ??1.95 | ??7.15 | ??9.10 | ??10.11 | 4. ∑ 20.33 gets 20.00 |
| ??1～0.1 | ??1.23 | ??7.97 | ??9.20 | ??10.22 | |
| ??-0.1 | ??0.57 | ??9.43 | ??10.00 | ??- | Annotate: press the impartial grouping of size interval, be beneficial to sphere diameter and calculate |
| Add up to | ??28.57 | ??71.43 | ??100.00 | ??100.00 |
(3) the required sphere diameter of ore particle (pressing upper limit size calculates) is respectively organized in calculating: because of 1.5 meters of mill diameters, adopt σ
0=206.1kg/cm
2Calculate; The grinding machine parameter: 35.84 rev/mins of critical speeds, so 30 rev/mins of actual speed are rotational speed rate Ψ=(30 ÷ 35.84) * 100%=84%; Ball lotus pack completeness gets 40%, tries to achieve middle polycondensation layer diameter D by the formula and the table of textbook " fragmentation and ore grinding "
o=116cm; The grinding machine condition: ore milling concentration C gets 75%, ore density δ=3.5g/cm
3, ρ by formula
0=ρ-ρ
n, ρ=7.8g/cm
3, ρ
n=δ/[C+ δ (1-C)] tries to achieve the effective density ρ of steel ball in ore pulp
0=7.8-2.33=5.47g/cm
3By sphere diameter half theoretical formula and above-mentioned parameter value calculate 24,15,10 respectively, four needed steel ball sizes of feed preparation unit size of 5mm are as shown in table 2:
Table 2: four groups of steel ball sizes that ore particle is required
Feed preparation unit size class upper limit granularity (mm): 24 15 10 5
Calculate required sphere diameter value (mm): 91.2 70.5 56.0 33.0
Adjusted sphere diameter value (mm): 90 70 60 40
Handle by the approaching steel ball specification and the way that rounds up during adjustment, also should consider the source of goods of supplying.
(4) grinding machine is just adorned ball and is joined ball: make grinding machine by the productive rate of each group ore particle and required sphere diameter and just adorn ball, and as shown in table 3.
Table 3: grinding machine is just adorned ball preparation result
Treat that mill divides into groups to the ore deposit entirely: 1. 2. 3. 4.
Respectively give ore deposit ore particle group productive rate (%): 10.00 45.00 25.00 20.00
Each organizes the required sphere diameter of ore particle (mm): 90 70 60 40
Various steel ball ratios are determined: 10.00 45.00 25.00 20.00
The positive cumulative yield of ball lotus (%): 10.00 55.00 80.00 100.00
Because of each granularity rank all needs effectively levigately, to be fit to levigate ore particle group productive rate consistent so the ratio that makes steel ball is with its.
(5) dress ball checking just: because of only 1.5 * 3.0 meters of grinding machines, 10 tons in dress ball is directly packed into by the first dress ball of determining in (4) step in producing grinding machine.Produce the back fineness and improve more than 6 percentage points, productivity ratio also improves 5%, and is effective, puts into operation after two grinding machines are all packed into by the first dress ball in (4).
(6) tip-in is calculated: the ratio of determining tip-in with diagram method.The positive cumulative yield of ball lotus in (4) step is plotted on Fig. 1, promptly just adorns curve 1.Consider great club's pebbling in the ore grinding, too little φ 40mm ball has not just added, and adds from φ 60mm ball, makes the parallel curves 2 of curve 1 from last abscissa φ 60mm, and the ball of promptly adding 100% is all greater than 60mm.Curve 2 intersects at γ=40% place with the ordinate on the right, and the productive rate of the φ 90mm ball of promptly adding should be 40%, calculates the ratio of the adding a of φ 70 balls from curve 2 and the ordinate joining of φ 70 and φ 60mm
2=50, the ratio of the adding a of φ 60mm ball
3=10, promptly
φ 90: φ 70: φ 60=40%: in this ratio every day add steel ball (ball consume by 0.6kg/t ore deposit) at 50%: 10%, turn round and make full factory production target statistics behind 3 first quarter moons, and compare with the production target of preceding 3 first quarter moons of accurate loading and adding balls, the result is: 1. the grinding machine treating capacity improves 4.7% under the situation of 4.22 percentage points of mog raisings, and promptly grinding machine unit volume productivity ratio improves 13.32%; 2. ball consumption has incited somebody to action 19.58% down, promptly reduces to 0.419kg/t by 0.521kg/t; 3. power consumption reduces, and absolute power consumption descends 2.73%, and the unit product power consumption reduces by 11.75%; 4. copper, nickel mineral liberation degree of minerals improve 5～8 percentage points, and the nickel ore concentrate grade improves 0.3 percentage point, and the rate of recovery improves 2.18 percentage points, and the rate of recovery of copper improves 4.51 percentage points.
Embodiment two. and Yunnan copper selects factory, scale 3000 ton per days, adopting two diameter * length is 3.6 * 4.5 meters parallel primary grindings of big ball milling.It is unreasonable to adorn tip-in in the production, and sphere diameter is seriously bigger than normal, and ability is low when causing the grinding machine platform, and mog is low, and sorting index is low.This factory organizes to reach for this reason and produces tackling key problem up to standard, adopts accurate method for ball load and addition to improve grinding efficiency, and specific procedure is as follows:
(1) measures the mechanical property of ore at this factories and miness stone: standard mechanics test specimen uniaxial compressive strength σ=871.775kg/cm
2, the compression strength σ of irregular nugget
0=398.75kg/cm
2, Poisson's ratio μ=0.28.Ore mechanical property explanation, ore belongs to middle hard ore (f=8.7), fragility and deformation performance are medium, in the ore grinding impact of steel ball and mill stripping effect the two should take into account.
(2) calculate the granularmetric composition that grinding machine is given the ore deposit: classification sand return ratio is 200%, newly gives ore deposit 100%, gives ore deposit 300% entirely, promptly newly accounts for full 1/3 of the ore deposit of giving to the mineral products rate, and the sand return productive rate accounts for full 2/3 of the ore deposit of giving,
γ
3=γ
1+ γ
2, γ
3Behind the productive rate of deduction less than 0.1mm rank 12.00%, obtain treating the full ore deposit γ of giving of mill
4, be divided into five groups such as 16～12,12～10,10～5,5～2 and 2～0.1, specifically as shown in table 4:
Table 4: embodiment two mill feed granularmetric compositions and grouping situation
| Rank (mm) | ??γ 1(％) | ??γ 2(％) | ??γ 3(％) | ??γ 4(％) | Grouping reaches respectively organizes productive rate |
| ??16～14 | ??4.32 | ??0.00 | ??4.32 | ??4.91 | 1. ∑ 25.21 gets 25.00 |
| ??14～12 | ??10.97 | ??6.89 | ??17.86 | ??20.30 | |
| ??12～10 | ??4.53 | ??15.41 | ??19.94 | ??22.66 | 2. ∑ 22.66 gets 23.00 |
| ??10～8 | ??3.11 | ??6.16 | ??9.27 | ??10.53 | 3. ∑ 22.17 gets 22.00 |
| ??8～5 | ??2.93 | ??7.31 | ??10.24 | ??11.64 | |
| ??5～3 | ??1.67 | ??7.87 | ??9.54 | ??10.84 | 4. ∑ 20.37 gets 20.00 |
| ??3～2 | ??1.64 | ??6.95 | ??8.39 | ??9.53 | |
| ??2～0.1 | ??2.11 | ??6.33 | ??8.44 | ??9.59 | 5. ∑ 9.59 gets 10.00 |
| ??-0.1 | ??2.05 | ??9.95 | ??12.00 | ???- | Annotate:, be beneficial to and join ball by the balanced grouping of grade productive rate |
| Add up to | ??33.33 | ??66.67 | ??100.00 | ??100.00 |
(3) the required sphere diameter of ore particle (pressing upper limit size calculates) is respectively organized in calculating: because of 3.6 meters of mill diameters, adopt σ=871.775kg/cm
2Calculate sphere diameter; The grinding machine parameter: 23 rev/mins of critical speeds, so 17.5 rev/mins of actual speed are rotational speed rate Ψ=(17.5 ÷ 23) * 100%=76%; Ball lotus pack completeness gets 40%, tries to achieve middle polycondensation layer diameter D by the formula and the table of textbook " fragmentation and ore grinding "
o=206cm; The grinding machine condition of work: ore milling concentration C gets 75%, ore density δ=3.22g/cm
3, ρ by formula
0=ρ-ρ
n, ρ=7.8g/cm
3, ρ
n=δ/[C+ δ (1-C)] tries to achieve the effective density ρ of steel ball in ore pulp
0=7.8-1.98=5.88g/cm
3Calculate the required steel ball size of 16,12,10,5,2 each granularities respectively such as table 5 shows by sphere diameter half theoretical formula and above-mentioned parameter value:
Table 5: five groups of steel ball sizes that ore particle is required
Feed preparation unit size class upper limit granularity (mm): 16 12 10 52
Calculate required sphere diameter value (mm): 81.5 69.8 62.0 37.0 23.0
Adjusted sphere diameter value (mm): 80 70 60 40 30
Handle by the approaching steel ball specification and the way that rounds up during adjustment, also should consider the source of goods of supplying.
(4) grinding machine is just adorned ball and is joined ball: make grinding machine by the productive rate of each group ore particle and required sphere diameter and just adorn ball, show as table 6.
Table 6: grinding machine is just adorned ball preparation result
Treat that mill divides into groups to the ore deposit entirely: 1. 2. 3. 4. 5.
Respectively give ore deposit ore particle group productive rate (%): 25.00 23.00 22.00 20.00 10.00
Each organizes the required sphere diameter of ore particle (mm): 80 70 60 40 30
Various steel ball ratios are determined: 25.00 23.00 22.00 20.00 10.00
The positive cumulative yield of ball lotus (%): 25.00 48.00 70.00 90.00 100.00
Because of each granularity rank all needs effectively levigately, to be fit to levigate ore particle group productive rate consistent so the ratio that makes steel ball is with its.
(5) dress ball checking just: because of being 3.6 * 4.5 meters big grinding machines, being placed on D. Lab * L is to do the contrast grinding test that precision is just adorned ball scheme and the on-the-spot dress of imitation ball scheme in 450 * 450mm grinding machine, the result accurately disguises ball scheme+0.15mm and grinds not few 7 percentage points of fine fraction, then many 6.78 percentage points of-0.074mm ranks are so adopt accurately makeup ball scheme in producing.
(6) tip-in is calculated: determine the tip-in ratio with diagram method.The positive cumulative yield of ball lotus in (4) step is plotted on Fig. 2, promptly just adorns curve 1.φ 40mm and φ 30mm ball are too little, there is no need to add, and they will be by big ball wear.Consider that minimum adds φ 50mm ball, make the parallel curves 2 of curve 1 from last abscissa φ 50mm, the ball of promptly adding 100% is all greater than 50mm.Curve 2 and 80,70,60mm ball ordinate obtain intersection point respectively, and the ratio of adding that gets φ 80,70,60,50mm ball is respectively a
1=57, a
2=23, a
3=10, a
4=10.
Add ratio (adding unit consumption 0.63kg/t ore deposit) in this in the production and add every day, progressively change the unreasonable situation of mill endosphere lotus, after 3 months full factory realize reaching produce up to standard.The result is: 1. during the platform of grinding machine treating capacity by 51.5 be increased to 63.5 tons/time; 2. the ore milling product fineness brings up to 74% by 0.074mm 65%; 3. ball consumption down will 15.5%, 4. absolute power consumption decline 5.2%; 5. the rate of recovery of copper is increased to 94.20% by 92.5%.
Claims (5)
1, a kind of method of ball mill accurate loading and adding balls is characterized in that method may further comprise the steps:
(1) mensuration is treated the uniaxial compressive strength σ of ore grinding stone, the compression strength σ of irregular nugget
0And the elastic modelling quantity of ore and Poisson's ratio,
(2) grinding machine is newly carried out screen analysis to ore deposit and sand return, convert newly to ore deposit and sand return than numerical value by sand return then, and merging draws full feed preparation unit size composition, conversion did not determine that waiting to grind full feed preparation unit size forms after deduction did not need levigate thin rank again, at last, will treat that mill divides into groups by granule size to the ore deposit entirely
(3) according to the σ or the σ of ore
0Reach upper limit size and known condition of work and the parameter of grinding machine of respectively organizing ore particle, calculate with sphere diameter half theoretical formula and respectively organize the sphere diameter value that ore particle needs,
(4) respectively organize the productive rate of ore particle and required sphere diameter to the ore deposit and determine that grinding machine just adorns the ball ratio of ball by waiting to grind entirely,
(5) reasonability and the accuracy of ball just adorned in checking,
(6) draw the positive cumulative property curves of ball lotus granularity that grinding machine is just adorned ball, determine the positive cumulative property curves of ball lotus of adding ball, draw the ratio of various adding balls according to this curve with graphing method.
2, the method for grinding machine accurate loading and adding balls according to claim 1 is characterized in that: will treat that mill is divided into 4～6 groups to the ore deposit by granule size entirely.
3, the method for grinding machine accurate loading and adding balls according to claim 1 is characterized in that: to the grinding machine of diameter less than 2.7 meters, adopt the resistance to compression value σ of irregular nugget
0Calculate the sphere diameter exact value,, adopt the resistance to compression value σ of standard specimen to calculate the sphere diameter exact value the grinding machine of diameter greater than 2.7 meters.
4, the method for grinding machine accurate loading and adding balls according to claim 1 is characterized in that: all need levigately as each group ore particle, the productive rate that then makes every kind of steel ball is suitable with the productive rate of its suitable levigate ore particle group; Strengthen the levigate of which group ore particle as needs, just increase the ratio of the steel ball of these group ore particle needs; Strengthen the more coarsely graded levigate ratio of just adding the large scale steel ball as needs; Strengthen the more fine-graded levigate ratio of just adding the small size steel ball as needs.
5, the method for grinding machine accurate loading and adding balls according to claim 1 is characterized in that: dress is mended 2～3 kinds of balls.
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