How to calculate the applied axial force
1. The calculation of the circumferential force of the belt pulley
first use the conversion ratio of the belt pulley speed and the belt pulley diameter, speed ratio = output speed: input speed = pitch circle diameter of the load belt pulley: pitch circle diameter of the motor belt pulley. The circular force and the reference force are the same, diameter - 2H = pitch circle diameter, h is the groove depth on the reference line, different types of V-belt h are different, yzab CDE, the circular force on the reference line are h = 1.62 2.753.54.88.19.6 respectively
2. Calculation of belt pulley radial force:
the radial force is the theoretical force of belt pulley pitch line position, which is generally expressed by PD, and the outer circle is generally expressed by OD. The conversion formula of pitch circle and outer circle is different for different groove types. Generally, it is easy to measure the outer circle of pulley, and calculate pitch circle according to the formula. SPZ:OD=PD+4; SPA:OD=PD+5.5; SPB:OD=PD+7; SPC:OD=PD+9.6
The axial force of the pulley is set as D1, N1 for the diameter and speed of the motor pulley (driving pulley) and D2, N2 for the diameter and speed of the driven pulley; That is, D2 = D1 * (N1 / N2). The minimum outer diameter of pulley a or spa is 80mm, SPZ belt, and the small pulley is not less than 63mmextended data:
the recommended degree of pulley groove angle for different types of pulleys in different diameter ranges
1. The recommended degree of pulley groove angle for O-type pulleys is 34 degrees when the pulley diameter ranges from 50 mm to 71 mm; 36 degrees in the range of 71mm to 90mm, & gt; It is 38 degrees at 90mm
2. The diameter of A-type pulley is 34 degrees when the pulley diameter ranges from 71mm to 100mm, and 36 degrees when the pulley diameter ranges from 100mm to 125mm& gt; 38 degrees at 125 mm; When the diameter of B-type pulley ranges from 125mm to 160mm, it is 34 degrees; 36 degrees at 160 MM-200 mm, & gt; When 200 mm, it is 38 degrees
3. C-type pulley is 34 degrees when the pulley diameter ranges from 200 mm to 250 mm and 36 degrees when the pulley diameter ranges from 250 mm to 315 mm; 38 degrees at 315 mm
When the diameter of D-type pulley is 355mm-450mm, it is 36 degrees; At 450 mm, it is 38 degrees; E type is 36 degrees from 500mm to 630mm; It is 38 degrees when 630mmplease accept, thank you!
the size of the axial force should be related to the actual working environment. After the axial force is applied, the force of the ball bearing is equivalent to having a contact angle, which is similar to the angular contact ball bearing. The axial force also has a great relationship with the clearance and radius of the bearing itself
especially the clearance, the larger the clearance is, the larger the range of motion of the ball in the axial position is, that is, the larger the axial clearance is, the greater the axial force it can bear, but the clearance can not be blindly large
in a word, I can tell you that the axial force is far less than the radial force. As for the specific calculation, because the contact angle is unpredictable, there is no way to know
the selection of deep groove ball bearing is unreasonable if the bearing is subjected to radial load and continuous axial load at the same time, because continuous axial force will rece the service life of deep groove ball bearing. Angular contact ball bearing or tapered roller bearing can be selected according to rotating speed and other instries and mines, and four point contact ball bearing can also be selected if bidirectional axial force is required, Double row tapered roller bearing or double row angular contact ball bearing.
1、 The necessary condition for cutting tool to cut into rock is p < sub > y < / sub > ≥ s < sub > 0 < / sub > 0· σ Where: P < sub > y < / sub > is the axial pressure on a cutting tool; S < sub > 0 < / sub > is the contact area between cutting tool and rock; σ Is the critical compressive strength of rock
Fig. 1-3-8 force system balance diagram of cutting tool when cutting into rock γ It moves downward in the direction of; γ The angle depends on the friction coefficient of rock to metal and the cutting edge angle of the cutting tool β Therefore, on the front ob, positive pressure n < sub > 2 < / sub > and frictional resistance n < sub > 2 < / sub > Tan are generated ring the cutting process φ tan φ Equal to the friction coefficient f). Similarly, positive pressure n < sub > 1 < / sub > and frictional resistance n < sub > 1 < / sub > Tan are proced on the back slope φ, See figure 1-3-8
The balance relationship of each force is as follows:
rock breaking engineering
after simplification:
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∑ f < sub > y < / sub > = 0
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after simplification:
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substitute formula (1-3-2) into formula (1-3-3), According to the conditions of cutting tool cutting into rock:
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where: B is the width of cutting tool; B is the width of cutting tool; C is the width of cutting tool; C is the width of cutting tool; σ< Sub > n < / sub > is the normal pressure (or stress) on the surface; σ Is the pressure perpendicular to ab plane, equal to the compressive strength of rock
by substituting equation (1-3-5) into equation (1-3-4), the calculation formula of axial force is obtained as follows:
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after mathematical arrangement of equation (1-3-6), the cut in depth h < sub > 0 < / sub > should be:
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cos < sup > 2 < / sup > in the right bracket of equation (1-3-7) φ/ sin β+ two φ= Z. There are:
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where Z is the cutting edge angle β And the friction angle between cutting tool and rock φ In general, z = 0.88-0.97
Theformula (1-3-8) is basically confirmed for plastic rocks. That is to say, the cutting depth is basically proportional to the axial pressure P < sub > y < / sub >, but not to the cutting tool width B and the cutting edge angle β And the compressive strength of rock. For brittle rocks, the breaking depth is greater than the cutting depth
(2) calculation of horizontal force when large shear occurs in rock e to horizontal force, the cutting tool must approximately overcome the shear resistance of rock mass with area CC ′ B ′ B and side area ABC and a ′ B ′ C ′ in Fig. 1-3-9 and the friction between the cutting tool and groove bottom Figure 1-3-9 the resistance of the cutting tool in large shear is as follows: the area of CC ′ B ′ B is equal to, and the side area of ABC and a ′ B ′ C is equal to Whenshear aa'bb'cc ', the shear resistance is equal to:
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where: σ< Sub > 0 < / sub > is the shear strength of rock
When shearing AA ′ BB ′ CC ′ rock mass, the total resistance to be overcome is equal to:
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where f < sub > 1 < / sub > is the internal friction coefficient of rock
If equation (1-3-9) and equation (1-3-10) are equal, the relationship between P < sub > x < / sub > and P < sub > y < / sub > can be obtained:
rock breaking engineering
according to the formula (1-3-11), P < sub > x < / sub > force is related to B, h,
x < / sub > force σ< Sub > 0 < / sub >, P < sub > y < / sub >, F, and COS β In inverse proportion