ball mill finish calculator - martin chick & associates

The Ball Mill Finish Calculator can be used when an end mill with a full radius (a ball mill) is used on a contoured surface. The tool radius on each side of the cut will leave stock referred to as a scallop. The finish of the part will be determined by the height of the scallop, amd the scallop will be determined by the stepover distance between cuts.

To calculate the stepover distance, enter the scallop height and click Calc Stepover To calculate the scallop height, enter the stepover distance and click Calc Scallop Tool Dia. In. Angle Deg. Scallop In. Stepover In.

milling speed and feed calculator

Determine the spindle speed (RPM) and feed rate (IPM) for a milling operation, as well as the cut time for a given cut length. Milling operations remove material by feeding a workpiece into a rotating cutting tool with sharp teeth, such as an end mill or face mill. Calculations use the desired tool diameter, number of teeth, cutting speed, and cutting feed, which should be chosen based on the specific cutting conditions, including the workpiece material and tool material.Learn more about Milling.

mill critical speed calculation

In this experiment the overall motion of the assembly of 62 balls of two different sizes was studied. The mill was rotated at 50, 62, 75 and 90% of the critical speed. Six lifter bars of rectangular cross-section were used at equal spacing. The overall motion of the balls at the end of five revolutions is shown in Figure 4. As can be seen from the figure, the overall motion of the balls changes with the mill speed inasmuch as the shoulder height shifts with the speed and the charge pressure reduced with the speed. At the highest speed the outer layer of discs tends to stick to the wall, showing a tendency to centrifuge.

The effect of mill speed on energy input was studied in a mill of 0.3-m diameter and 0.25-m long with 40% charge filling. The total charge weight was 54 kg. The variation in torque with speed is shown in Figure 5. It is seen from the figure that the energy input increases with mill speed and then drops off; this behavior is also observed in laboratory experiments.

Figure 3 shows the trajectory of a disc as the face angle of the lifter bars decreases. The speed of the mill was kept at 63% of the critical speed. The face angle was varied from 90 to 111 degrees for the three types of configuration 1, 2 and 4, as shown in the figure. Also, the height of the lifter bar in configuration 3 was changed to observe the trajectory. It was observed that the ball trajectories could be controlled by the face angle and the height of the lifter bars.

A smoothly lined mill consisting of 24 elements (walls) with 45% ball filling was simulated. The behavior of the charge was studied by changing the coefficient of friction at the wall. Three different disc sizes of equal proportion were used. The mill was rotated at 63% of the critical speed. The position of the balls at the end of five revolutions is shown in Figure 2. It is seen that, using a low coefficient of friction at the walls, balls tend to flow down the surface of the charge, and a toe begins to form. As the friction at the wall increases, cataracting motion is observed. A comparison of the energy input shows that for a coefficient of friction of 0.9 the energy input is about 1.5 times higher than for a coefficient of friction of 0.2.

sagmilling.com .:. mill critical speed determination

The "Critical Speed" for a grinding mill is defined as the rotational speed where centrifugal forces equal gravitational forces at the mill shell's inside surface. This is the rotational speed where balls will not fall away from the mill's shell.

Enter the width of a mill shell liner. Note this is not the width of a lifter! You may use the Mill Liner Effective Width calculation to determine this value. The mill critical speed will be calculated based on the diameter (above) less twice this shell liner width.

ball mill parameter selection & calculation - power, critical speed | jxsc

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The production capacity of the ball mill is determined by the amount of material required to be ground, and it must have a certain margin when designing and selecting. There are many factors affecting the production capacity of the ball mill, in addition to the nature of the material (grain size, hardness, density, temperature and humidity), the degree of grinding (product size), the uniformity of the feeding material, and the portion of loaded, , and the mill structure (the mill barrel length, diameter ratio, the number of bins, the shape of the partition plate and the lining plate). It is difficult to theoretically determine the productivity of the mill. The grinding mills production capacity is generally calculated based on the newly generated powder ore of less than 0.074 mm (-200 mesh). V Effective volume of ball mill, m3; G2 Material less than 0.074mm in product accounts for the percentage of total material, %; G1 Material less than 0.074mm in ore feeding accounts for 0.074mm in the percentage of the total material, %; qm Unit productivity calculated according to the new generation grade (0.074mm), t/(m3.h). The values of qm are determined by experiments or are calibrated in production with similar ore physical properties and the same equipment and working conditions. When there is no test data and production calibration value, it can be calculated by formula (1-3). Di1- Standard mill diameter, m; K4 feed size and product size coefficient of mill. G3 G4 The production capacity of existing or experimental mills with newly designed and parameters (feed size or product size calculated according to the new generation 0.074mm level) is shown in Table 1-6. The values of G1 and G2 above should be calculated according to actual data. If there is no actual data, they can be selected according to tables 1-7 and 1-8.

When the filling rate of grinding medium is less than 35% in dry grinding operation, the power can be calculated by formula (1-7). n - mill speed, r/min; G - Total grinding medium, T; - Mechanical efficiency, when the center drive, = 0.92-0.94; when the edge drive, = 0.86-0.90.

\ Critical Speed_ When the ball mill cylinder is rotated, there is no relative slip between the grinding medium and the cylinder wall, and it just starts to run in a state of rotation with the cylinder of the mill. This instantaneous speed of the mill is as follows: N0 - mill working speed, r/min; Kb speed ratio, %. There are many layers of grinding media in the mill barrel. It is assumed that the media will be concentrated in one layer, called the polycondensation layer, so that the grinding media of this layer will be in the maximum drop, i.e. the calculating speed of the mill when the total impact energy is the largest nj. Therefore, it is theoretically deduced that the reasonable working speed is The working speeds of various mills are shown in Table 1-10. Table 1-10 Working speeds of various mills

In production practice, there are many factors affecting the motion state of grinding media. Therefore, the appropriate working speed should be selected according to the actual situation. In determining the actual working speed of the mill, the influences of the mill specifications, production methods, liner forms, grinding media types, filling rate, physical and chemical properties of the ground materials, particle size of the grinding materials and grinding fineness of the products should be taken into account. The actual working speed of the mill should be determined by scientific experiments, which can reflect the influence of these factors more comprehensively.

Ball loading capacity The volume of the grinding medium is the percentage of the effective volume of the mill, which is called the filling rate of the grinding medium. The size of filling directly affects the number of shocks, the area of grinding and the load of grinding medium in the grinding process. At the same time, it also affects the height of the grinding medium itself, the impact on the material and the power consumption. A kind of The ball loading capacity of the mill can be calculated according to the formula (1-14). Gra Quantity of Grinding Medium, T. Rho s loose density of grinding medium, t/m3. Forged steel balls; P=s=4.5-4.8t/m3 cast steel balls P=4.3-4.6t/m3; rolling steel balls P=6.0-6.8t/m3; steel segments P=4.3-4.6t/m3_-filling ratio of grinding medium, When wet grinding: lattice ball mill pi = 40% 45%; overflow ball mill phi = 40%; rod mill phi = 35%. Dry grinding: When material is mixed between grinding media, the grinding medium expands, and when dry grinding is adopted, the material fluidity is relatively poor, material flow is hindered by abrasive medium, so filling rate is low, and the filling rate is between 28% and 35%. The pipe mill is 25%-35%. The void fraction of grinding medium_k=0.38-0.42 and the quality of crushed material accounts for about 14% of the quality of grinding medium.

Size and Proportion of Grinding Medium In the ball mill, the size and proportion of steel balls have a great influence on the productivity and working efficiency of the mill. For coarse and hard materials, larger steel balls should be selected, for fine and brittle materials, with smaller diameter steel balls, the impact times of steel balls in the mill increase with the decrease of ball diameter, and the grinding between balls increases. The clearance is dense with a decrease of spherical diameter. Therefore, it is better to choose the ball with a larger mass and smaller diameter (loose density) as the grinding medium. The size of the ball mainly depends on the particle size of the material to be ground, and the diameter and speed of the mill can be considered appropriately. Formula (1-15) is an empirical formula for spherical diameter and feed size. dmax The maximum diameter of steel ball, mm; amax the maximum size of feeding granularity, mm. After calculating the maximum steel ball diameter, the steel ball ratio in the mill can be calculated with reference to Fig. 2-1 (suitable for cement mill, other mills can refer to). After choosing the maximum diameter and minimum diameter of steel balls according to technological requirements, material properties, mill specifications and various parameters, and then matching grade, using curves, the accumulative percentage of the mass of each corresponding steel balls loaded into the mill can be found, the actual percentage of the mass can be calculated, and the loading quality of steel balls at all levels can be obtained. According to the production practice of production enterprises, the relationship between ball diameter and material size is shown in Table 1-11. A kind of Steel balls are gradually worn out in the process of grinding materials. The wear of drop steel ball is related to its impact force. The wear of grinding steel balls is related to the surface area of steel balls. In general, the steel ball in the grinder has both impact and abrasion effects, so the wear is proportional to the n power of the diameter of the steel ball, and the value of n is between 2 and 3. Table 1-11 The Relation between Steel Ball Diameter and Material Size

The quality and surface area of forged steel balls of various sizes are shown in Table 1-12. A kind of Because of the wear of steel balls in the mill production process, in order to keep the mill stable. Steel balls need to be added regularly. The maximum diameter of additional steel balls is still determined by the method mentioned above. In addition to the addition of additional steel balls, several smaller diameter steel balls should be added according to production experience.

speeds and feeds calculator - good calculators

The Speeds and Feeds Calculator may be employed for calculations of estimated speeds and feeds (RPM and IPM) values on the basis of the parameters you have currently set based on your tools and stock material.How to use: Choose a type of operation (drilling, reaming, boring, counterboring, face milling, slab milling/side milling, end milling, or turning), select your stock material, choose a material for the tool (high-speed steel or carbide), input the quantity of teeth for the tool and the diameter of the workpiece/cutter. Hit the "Calculate" button for the results.

How to use: Choose a type of operation (drilling, reaming, boring, counterboring, face milling, slab milling/side milling, end milling, or turning), select your stock material, choose a material for the tool (high-speed steel or carbide), input the quantity of teeth for the tool and the diameter of the workpiece/cutter. Hit the "Calculate" button for the results.

Operation DrillingReamingTurningBoringCounterboringFace MillingSlab Milling / Side MillingEnd MillingStock Material AluminumBronzeBronze, hardBrassCast Iron, softCast Iron, hardCast Iron, chilledMalleable IronSteel, softSteel, mediumSteel, hardTool Material HSSCarbide# of Teeth Workpiece / Cutter Diameter In.

Stock Material AluminumBronzeBronze, hardBrassCast Iron, softCast Iron, hardCast Iron, chilledMalleable IronSteel, softSteel, mediumSteel, hardTool Material HSSCarbide# of Teeth Workpiece / Cutter Diameter In.

The Speeds and Feeds Calculator uses the following formulas:RPM = (12 * Surface Speed) / (PI * Tool Diameter) [revs/min]Feed Rate = RPM * Chip Load * Number of Teeth (Flutes) [in/min]Where PI is the constant (3.141592654).Reference: Erik Oberg, et.al. (2008). Machinery's Handbook. 28th edition. Industrial Press.

RPM = (12 * Surface Speed) / (PI * Tool Diameter) [revs/min]Feed Rate = RPM * Chip Load * Number of Teeth (Flutes) [in/min]Where PI is the constant (3.141592654).Reference: Erik Oberg, et.al. (2008). Machinery's Handbook. 28th edition. Industrial Press.

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