How to calculate the number of teeth of a geared air motor

The general process of calculation is as follows: determine the rated torque of the air motor, calculate the torque of the uniform distribution force, calculate the large torque of the motor, calculate and determine the gear length j, determine the maximum speed, calculate the influence of gear displacement on performance, and calculate the air consumption of the air motor.

Geared air motors are powered by compressed air and have characteristics that are different from other prime movers such as electric motors and internal combustion engines. The advantages of this air motor are:

1) It is limited by the surrounding environmental temperature, humidity, corrosive substances and dust(2) It can also be used safely in the environment with ** gas (such as gas);(3) It does not pollute the atmosphere, and only has a small amount of oil mist formed by lubricating oil in the exhaust center;(4) The structure is simple, and the power per unit weight is large(5) It can be overloaded. When the rotation is stopped due to overload, the load is relieved and it starts again;(6) It can be started under the condition of load.

Gear air motor can be divided into three types: straight tooth type, helical tooth type, herringbone tooth type, etc., among which the straight tooth air motor has the simplest structure, easy to process and manufacture, so it is widely used. According to the difference in the number of teeth of the two meshing gears, the spur gear type air motor is divided into two types: the same number of teeth and different number of teeth. Working principle of spur gear air motor:

In the figure, the points e, q are on the top circle of the tooth and the points f, c, j, m are on the root circle. The points h, k are a symmetrical point on the tooth shape. The compressive air on the tooth surface EF and JQ produces a distributed force to the right and left, respectively, which is the driving force.

The distributed force generated by the compressed air on the tooth flanks Gh, KJ prevents the gear from rotating, which is the resistance, and because the dynamic moment is greater than the resistance torque, the two meshing gears rotate. After running more than half a revolution, the compressed air enters the A3 chamber and is discharged through the exhaust port. The power generated by the rotation of the gears can be output through the gear shaft on the left and also through the gear shaft on the right.

How to calculate the number of teeth of the motor is actually the process of determining the size of the power surface and the resistance surface. The general process of calculation is as follows: determine the rated torque of the air motor, calculate the torque of the uniform distribution force, calculate the large torque of the motor, calculate and determine the gear length j, determine the maximum speed, calculate the influence of gear displacement on performance, and calculate the air consumption of the air motor.

1. The cross-sectional area of the annular belt between the tooth top circle, the tooth root circle and the tooth width of the gear tooth is the area of the work force of the gas.

2. There are two work sections.

3. The speed and power of the gear motor are the target values, which are also the known values of the gear selection calculation.

Fourth, the number of teeth and modules of primary selection. The diameter of the pitch circle, the diameter of the tooth top circle, and the diameter of the tooth root circle can be obtained. The cross-sectional area of the ring can be obtained.

5. Multiply the cross-section by the air pressure to obtain the tangential thrust of the gear. There is a radius of action (pitch radius) to obtain torque.

6. Calculated power = torque x speed 9550, compared with the design target power value.

7. Adjust the number of gear teeth to meet the "calculated power target power x safety margin".

8. Internal meshing structure, torque should be calculated separately. Calculate the closing torque at the engagement point.